[{"status":"public","day":"08","ec_funded":1,"tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"citation":{"mla":"Jethwa, Rajesh B., et al. “To DISP or Not? The Far‐reaching Reaction Mechanisms Underpinning Lithium‐air Batteries.” <i>Angewandte Chemie International Edition</i>, vol. 63, no. 28, e202316476, Wiley, 2024, doi:<a href=\"https://doi.org/10.1002/anie.202316476\">10.1002/anie.202316476</a>.","apa":"Jethwa, R. B., Mondal, S., Pant, B., &#38; Freunberger, S. A. (2024). To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. <i>Angewandte Chemie International Edition</i>. Wiley. <a href=\"https://doi.org/10.1002/anie.202316476\">https://doi.org/10.1002/anie.202316476</a>","chicago":"Jethwa, Rajesh B, Soumyadip Mondal, Bhargavi Pant, and Stefan Alexander Freunberger. “To DISP or Not? The Far‐reaching Reaction Mechanisms Underpinning Lithium‐air Batteries.” <i>Angewandte Chemie International Edition</i>. Wiley, 2024. <a href=\"https://doi.org/10.1002/anie.202316476\">https://doi.org/10.1002/anie.202316476</a>.","ama":"Jethwa RB, Mondal S, Pant B, Freunberger SA. To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. <i>Angewandte Chemie International Edition</i>. 2024;63(28). doi:<a href=\"https://doi.org/10.1002/anie.202316476\">10.1002/anie.202316476</a>","ista":"Jethwa RB, Mondal S, Pant B, Freunberger SA. 2024. To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International Edition. 63(28), e202316476.","ieee":"R. B. Jethwa, S. Mondal, B. Pant, and S. A. Freunberger, “To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries,” <i>Angewandte Chemie International Edition</i>, vol. 63, no. 28. Wiley, 2024.","short":"R.B. Jethwa, S. Mondal, B. Pant, S.A. Freunberger, Angewandte Chemie International Edition 63 (2024)."},"project":[{"name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020","grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"_id":"14687","scopus_import":"1","article_type":"review","oa_version":"Published Version","intvolume":"        63","type":"journal_article","acknowledgement":"S.A.F. is indebted to ISTA for support. R.B.J. thanks the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101034413 for funding. B.P. thanks Alistore ERI for providing a PhD scholarship.","month":"07","language":[{"iso":"eng"}],"date_published":"2024-07-08T00:00:00Z","publisher":"Wiley","department":[{"_id":"StFr"},{"_id":"GradSch"}],"date_updated":"2026-07-29T12:57:15Z","isi":1,"oa":1,"file_date_updated":"2024-07-16T11:54:46Z","issue":"28","doi":"10.1002/anie.202316476","publication_identifier":{"issn":["1433-7851"],"eissn":["1521-3773"]},"publication":"Angewandte Chemie International Edition","year":"2024","date_created":"2023-12-15T16:10:13Z","article_number":"e202316476","has_accepted_license":"1","ddc":["540"],"corr_author":"1","file":[{"success":1,"creator":"dernst","date_created":"2024-07-16T11:54:46Z","content_type":"application/pdf","file_name":"2024_AngChemieInt_Jethwa.pdf","access_level":"open_access","checksum":"fe2c23454279eb9d76ed6ca9970c21c7","relation":"main_file","date_updated":"2024-07-16T11:54:46Z","file_size":4766445,"file_id":"17261"}],"quality_controlled":"1","related_material":{"record":[{"relation":"dissertation_contains","id":"20607","status":"public"}]},"pmid":1,"author":[{"full_name":"Jethwa, Rajesh B","orcid":"0000-0002-0404-4356","id":"4cc538d5-803f-11ed-ab7e-8139573aad8f","first_name":"Rajesh B","last_name":"Jethwa"},{"id":"d25d21ef-dc8d-11ea-abe3-ec4576307f48","full_name":"Mondal, Soumyadip","first_name":"Soumyadip","last_name":"Mondal"},{"last_name":"Pant","first_name":"Bhargavi","full_name":"Pant, Bhargavi","id":"50c64d4d-eb97-11eb-a6c2-d33e5e14f112"},{"id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","orcid":"0000-0003-2902-5319","full_name":"Freunberger, Stefan Alexander","last_name":"Freunberger","first_name":"Stefan Alexander"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":63,"title":"To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries","keyword":["General Chemistry","Catalysis"],"article_processing_charge":"Yes (via OA deal)","abstract":[{"lang":"eng","text":"The short history of research on Li-O2 batteries has seen a remarkable number of mechanistic U-turns over the years. From the initial use of carbonate electrolytes, that were then found to be entirely unsuitable, to the belief that (su)peroxide was solely responsible for degradation, before the more reactive singlet oxygen was found to form, to the hypothesis that capacity depends on a competing surface/solution mechanism before a practically exclusive solution mechanism was identified. Herein, we argue for an ever-fresh look at the reported data without bias towards supposedly established explanations. We explain how the latest findings on rate and capacity limits, as well as the origin of side reactions, are connected via the disproportionation (DISP) step in the (dis)charge mechanism. Therefrom, directions emerge for the design of electrolytes and mediators on how to suppress side reactions and to enable high rate and high reversible capacity."}],"external_id":{"isi":["001241932700001"],"pmid":["38095355"]},"publication_status":"published"},{"day":"01","status":"public","tmp":{"short":"CC BY-NC (3.0)","name":"Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)","image":"/images/cc_by_nc.png","legal_code_url":"https://creativecommons.org/licenses/by-nc/3.0/legalcode"},"citation":{"apa":"Mondal, S., Jethwa, R. B., Pant, B., Hauschild, R., &#38; Freunberger, S. A. (2024). Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes. <i>Faraday Discussions</i>. Royal Society of Chemistry. <a href=\"https://doi.org/10.1039/d3fd00088e\">https://doi.org/10.1039/d3fd00088e</a>","chicago":"Mondal, Soumyadip, Rajesh B Jethwa, Bhargavi Pant, Robert Hauschild, and Stefan Alexander Freunberger. “Singlet Oxygen in Non-Aqueous Oxygen Redox: Direct Spectroscopic Evidence for Formation Pathways and Reliability of Chemical Probes.” <i>Faraday Discussions</i>. Royal Society of Chemistry, 2024. <a href=\"https://doi.org/10.1039/d3fd00088e\">https://doi.org/10.1039/d3fd00088e</a>.","mla":"Mondal, Soumyadip, et al. “Singlet Oxygen in Non-Aqueous Oxygen Redox: Direct Spectroscopic Evidence for Formation Pathways and Reliability of Chemical Probes.” <i>Faraday Discussions</i>, vol. 248, Royal Society of Chemistry, 2024, pp. 175–89, doi:<a href=\"https://doi.org/10.1039/d3fd00088e\">10.1039/d3fd00088e</a>.","ieee":"S. Mondal, R. B. Jethwa, B. Pant, R. Hauschild, and S. A. Freunberger, “Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes,” <i>Faraday Discussions</i>, vol. 248. Royal Society of Chemistry, pp. 175–189, 2024.","short":"S. Mondal, R.B. Jethwa, B. Pant, R. Hauschild, S.A. Freunberger, Faraday Discussions 248 (2024) 175–189.","ama":"Mondal S, Jethwa RB, Pant B, Hauschild R, Freunberger SA. Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes. <i>Faraday Discussions</i>. 2024;248:175-189. doi:<a href=\"https://doi.org/10.1039/d3fd00088e\">10.1039/d3fd00088e</a>","ista":"Mondal S, Jethwa RB, Pant B, Hauschild R, Freunberger SA. 2024. Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes. Faraday Discussions. 248, 175–189."},"_id":"13044","scopus_import":"1","type":"journal_article","article_type":"original","intvolume":"       248","oa_version":"Published Version","publisher":"Royal Society of Chemistry","department":[{"_id":"StFr"},{"_id":"Bio"}],"date_updated":"2026-07-29T12:57:14Z","month":"01","language":[{"iso":"eng"}],"date_published":"2024-01-01T00:00:00Z","oa":1,"file_date_updated":"2024-07-16T07:46:39Z","isi":1,"publication":"Faraday Discussions","doi":"10.1039/d3fd00088e","publication_identifier":{"issn":["1359-6640"],"eissn":["1364-5498"]},"year":"2024","date_created":"2023-05-22T06:53:34Z","ddc":["540"],"has_accepted_license":"1","quality_controlled":"1","file":[{"file_size":1303733,"date_updated":"2024-07-16T07:46:39Z","relation":"main_file","checksum":"6515a227ed3e8942496fe6a1feeffd18","access_level":"open_access","file_id":"17249","creator":"dernst","success":1,"file_name":"2024_FaradayDiscussions_Mondal.pdf","content_type":"application/pdf","date_created":"2024-07-16T07:46:39Z"}],"corr_author":"1","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"20607"}]},"pmid":1,"volume":248,"author":[{"full_name":"Mondal, Soumyadip","id":"d25d21ef-dc8d-11ea-abe3-ec4576307f48","last_name":"Mondal","first_name":"Soumyadip"},{"full_name":"Jethwa, Rajesh B","orcid":"0000-0002-0404-4356","id":"4cc538d5-803f-11ed-ab7e-8139573aad8f","first_name":"Rajesh B","last_name":"Jethwa"},{"full_name":"Pant, Bhargavi","id":"50c64d4d-eb97-11eb-a6c2-d33e5e14f112","last_name":"Pant","first_name":"Bhargavi"},{"orcid":"0000-0001-9843-3522","id":"4E01D6B4-F248-11E8-B48F-1D18A9856A87","full_name":"Hauschild, Robert","last_name":"Hauschild","first_name":"Robert"},{"id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","orcid":"0000-0003-2902-5319","full_name":"Freunberger, Stefan Alexander","first_name":"Stefan Alexander","last_name":"Freunberger"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes","keyword":["Physical and Theoretical Chemistry"],"abstract":[{"text":"Singlet oxygen (1O2) formation is now recognised as a key aspect of non-aqueous oxygen redox chemistry. For identifying 1O2, chemical trapping via 9,10-dimethylanthracene (DMA) to form the endoperoxide (DMA-O2) has become the mainstay method due to its sensitivity, selectivity, and ease of use. While DMA has been shown to be selective for 1O2, rather than forming DMA-O2 with a wide variety of potentially reactive O-containing species, false positives might hypothetically be obtained in the presence of previously overlooked species. Here, we first give unequivocal direct spectroscopic proof by the 1O2-specific near infrared (NIR) emission at 1270 nm for the previously proposed 1O2 formation pathways, which centre around superoxide disproportionation. We then show that peroxocarbonates, common intermediates in metal-O2 and metal carbonate electrochemistry, do not produce false-positive DMA-O2. Moreover, we identify a previously unreported 1O2-forming pathway through the reaction of CO2 with superoxide. Overall, we give unequivocal proof for 1O2 formation in non-aqueous oxygen redox and show that chemical trapping with DMA is a reliable method to assess 1O2 formation.","lang":"eng"}],"external_id":{"isi":["001070423500001"],"pmid":["37750344"]},"publication_status":"published","page":"175-189","article_processing_charge":"Yes (via OA deal)","license":"https://creativecommons.org/licenses/by-nc/3.0/"},{"day":"12","status":"public","OA_type":"green","citation":{"mla":"Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally  Verified.” <i>ArXiv</i>, 2409.08119, doi:<a href=\"https://doi.org/10.48550/arXiv.2409.08119\">10.48550/arXiv.2409.08119</a>.","chicago":"Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally  Verified.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2409.08119\">https://doi.org/10.48550/arXiv.2409.08119</a>.","apa":"Dvorak, M., &#38; Kolmogorov, V. (n.d.). Duality theory in linear optimization and its extensions -- formally  verified. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2409.08119\">https://doi.org/10.48550/arXiv.2409.08119</a>","ama":"Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally  verified. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2409.08119\">10.48550/arXiv.2409.08119</a>","ista":"Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally  verified. arXiv, 2409.08119.","ieee":"M. Dvorak and V. Kolmogorov, “Duality theory in linear optimization and its extensions -- formally  verified,” <i>arXiv</i>. .","short":"M. Dvorak, V. Kolmogorov, ArXiv (n.d.)."},"_id":"20071","type":"preprint","acknowledgement":"We would like to thank David Bartl and Jasmin Blanchette for frequent consultations. We would also like to express gratitude to Andrew Yang for the proof of Finset.univ sum of zero when not and to Henrik B¨oving for a help with generalization from extended rationals to extended linearly ordered fields. We would also like to acknowledge Antoine Chambert-Loir, Apurva Nakade, Ya¨el Dillies, Richard Copley, Edward van de Meent, Markus Himmel, Mario Carneiro, and Kevin Buzzard.","oa_version":"Preprint","department":[{"_id":"GradSch"},{"_id":"VlKo"}],"arxiv":1,"date_updated":"2026-07-29T12:56:51Z","month":"09","language":[{"iso":"eng"}],"date_published":"2024-09-12T00:00:00Z","oa":1,"publication":"arXiv","doi":"10.48550/arXiv.2409.08119","article_number":"2409.08119","year":"2024","date_created":"2025-07-23T11:21:52Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2409.08119","open_access":"1"}],"corr_author":"1","related_material":{"record":[{"status":"public","id":"22607","relation":"later_version"},{"status":"public","relation":"dissertation_contains","id":"21393"}],"link":[{"description":"full version of all definitions, statement, and proofs","url":"https://github.com/madvorak/duality/tree/v3.2","relation":"software"}]},"OA_place":"repository","author":[{"last_name":"Dvorak","first_name":"Martin","id":"40ED02A8-C8B4-11E9-A9C0-453BE6697425","orcid":"0000-0001-5293-214X","full_name":"Dvorak, Martin"},{"last_name":"Kolmogorov","first_name":"Vladimir","full_name":"Kolmogorov, Vladimir","id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","title":"Duality theory in linear optimization and its extensions -- formally  verified","keyword":["Farkas lemma","linear programming","extended reals","calculus of inductive constructions"],"abstract":[{"text":"Farkas established that a system of linear inequalities has a solution if and only if we cannot obtain a contradiction by taking a linear combination of the inequalities. We state and formally prove several Farkas-like theorems over linearly ordered fields in Lean 4. Furthermore, we extend duality theory to the case when some coefficients are allowed to take \"infinite values\".","lang":"eng"}],"external_id":{"arxiv":["2409.08119"]},"publication_status":"draft","article_processing_charge":"No"},{"citation":{"short":"S. Rella, Y.A. Kulikova, A. Minnegalieva, F. Kondrashov, Evolution: International Journal of Organic Evolution 78 (2024) 1722–1738.","ieee":"S. Rella, Y. A. Kulikova, A. Minnegalieva, and F. Kondrashov, “Complex vaccination strategies prevent the emergence of vaccine resistance,” <i>Evolution: International journal of organic evolution</i>, vol. 78, no. 10. Oxford University Press, pp. 1722–1738, 2024.","ama":"Rella S, Kulikova YA, Minnegalieva A, Kondrashov F. Complex vaccination strategies prevent the emergence of vaccine resistance. <i>Evolution: International journal of organic evolution</i>. 2024;78(10):1722-1738. doi:<a href=\"https://doi.org/10.1093/evolut/qpae106\">10.1093/evolut/qpae106</a>","ista":"Rella S, Kulikova YA, Minnegalieva A, Kondrashov F. 2024. Complex vaccination strategies prevent the emergence of vaccine resistance. Evolution: International journal of organic evolution. 78(10), 1722–1738.","chicago":"Rella, Simon, Yuliya A. Kulikova, Aygul Minnegalieva, and Fyodor Kondrashov. “Complex Vaccination Strategies Prevent the Emergence of Vaccine Resistance.” <i>Evolution: International Journal of Organic Evolution</i>. Oxford University Press, 2024. <a href=\"https://doi.org/10.1093/evolut/qpae106\">https://doi.org/10.1093/evolut/qpae106</a>.","apa":"Rella, S., Kulikova, Y. A., Minnegalieva, A., &#38; Kondrashov, F. (2024). Complex vaccination strategies prevent the emergence of vaccine resistance. <i>Evolution: International Journal of Organic Evolution</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/evolut/qpae106\">https://doi.org/10.1093/evolut/qpae106</a>","mla":"Rella, Simon, et al. “Complex Vaccination Strategies Prevent the Emergence of Vaccine Resistance.” <i>Evolution: International Journal of Organic Evolution</i>, vol. 78, no. 10, Oxford University Press, 2024, pp. 1722–38, doi:<a href=\"https://doi.org/10.1093/evolut/qpae106\">10.1093/evolut/qpae106</a>."},"day":"01","status":"public","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"OA_type":"hybrid","date_updated":"2026-07-29T12:57:48Z","publisher":"Oxford University Press","department":[{"_id":"GaTk"}],"date_published":"2024-10-01T00:00:00Z","language":[{"iso":"eng"}],"month":"10","file_date_updated":"2024-10-21T09:34:50Z","oa":1,"isi":1,"scopus_import":"1","_id":"18307","acknowledgement":"We thank Raimundo Julian Saona Urmeneta, Maike Morrison, Sergey Kryazhimskiy, Hiroki Ishikawa, Simone Pigolotti, and Shingo Miyauchi for fruitful discussions. We also thank the participants of the FRISBI seminar at ISTA for useful comments.","type":"journal_article","intvolume":"        78","oa_version":"Published Version","article_type":"original","ddc":["570"],"has_accepted_license":"1","quality_controlled":"1","file":[{"date_created":"2024-10-21T09:34:50Z","file_name":"2024_Evolution_Rella.pdf","content_type":"application/pdf","success":1,"creator":"dernst","file_id":"18453","access_level":"open_access","checksum":"5c6e8475bb88b07d424a5130d5e91e74","relation":"main_file","file_size":29360811,"date_updated":"2024-10-21T09:34:50Z"}],"corr_author":"1","publication":"Evolution: International journal of organic evolution","publication_identifier":{"eissn":["1558-5646"]},"doi":"10.1093/evolut/qpae106","issue":"10","date_created":"2024-10-13T22:01:50Z","year":"2024","title":"Complex vaccination strategies prevent the emergence of vaccine resistance","publication_status":"published","external_id":{"isi":["001286581900001"],"pmid":["38990788"]},"abstract":[{"text":"Vaccination is the most effective tool to control infectious diseases. However, the evolution of vaccine resistance, exemplified by vaccine resistance in SARS-CoV-2, remains a concern. Here, we model complex vaccination strategies against a pathogen with multiple epitopes—molecules targeted by the vaccine. We found that a vaccine targeting one epitope was ineffective in preventing vaccine escape. Vaccine resistance in highly infectious pathogens was prevented by the full-epitope vaccine, that is, one targeting all available epitopes, but only when the rate of pathogen evolution was low. Strikingly, a bet-hedging strategy of random administration of vaccines targeting different epitopes was the most effective in preventing vaccine resistance in pathogens with the low rate of infection and high rate of evolution. Thus, complex vaccination strategies, when biologically feasible, may be preferable to the currently used single-vaccine approaches for long-term control of disease outbreaks, especially when applied to livestock with near 100% vaccination rates.","lang":"eng"}],"article_processing_charge":"Yes (via OA deal)","page":"1722-1738","pmid":1,"related_material":{"link":[{"url":"https://github.com/Simon-Re/complex-vaccination","relation":"software"}],"record":[{"status":"public","id":"14862","relation":"research_data"},{"id":"20811","relation":"dissertation_contains","status":"public"}]},"OA_place":"publisher","volume":78,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"last_name":"Rella","first_name":"Simon","id":"B4765ACA-AA38-11E9-AC9A-0930E6697425","full_name":"Rella, Simon"},{"full_name":"Kulikova, Yuliya A.","last_name":"Kulikova","first_name":"Yuliya A."},{"full_name":"Minnegalieva, Aygul","id":"87DF77F0-1D9A-11EA-B6AE-CE443DDC885E","last_name":"Minnegalieva","first_name":"Aygul"},{"last_name":"Kondrashov","first_name":"Fyodor","full_name":"Kondrashov, Fyodor","orcid":"0000-0001-8243-4694","id":"44FDEF62-F248-11E8-B48F-1D18A9856A87"}]},{"date_created":"2024-04-14T22:01:03Z","year":"2024","article_number":"L032108","publication_identifier":{"eissn":["2470-0053"],"issn":["2470-0045"]},"doi":"10.1103/PhysRevE.109.L032108","issue":"3","publication":"Physical Review E","corr_author":"1","quality_controlled":"1","author":[{"first_name":"Juan Carlos A","last_name":"Sobarzo Ponce","id":"4B807D68-AE37-11E9-AC72-31CAE5697425","full_name":"Sobarzo Ponce, Juan Carlos A"},{"last_name":"Waitukaitis","first_name":"Scott R","id":"3A1FFC16-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2299-3176","full_name":"Waitukaitis, Scott R"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":109,"pmid":1,"related_material":{"record":[{"relation":"dissertation_contains","id":"20203","status":"public"}]},"article_processing_charge":"No","publication_status":"published","external_id":{"isi":["001199745200004"],"pmid":["38632754"]},"abstract":[{"text":"The tendency of materials to order in triboelectric series has prompted suggestions that contact electrification might have a single, unified underlying description. However, the possibility of “triboelectric cycles,” i.e., series that loop back onto themselves, is seemingly at odds with such a coherent description. In this work, we propose that if multiple charge carrying species are at play, both triboelectric series and cycles are possible. We show how series arise naturally if only a single charge carrier species is involved and if the driving mechanism is approach toward thermodynamic equilibrium, and simultaneously, that cycles are forbidden under such conditions. Suspecting multiple carriers might relax the situation, we affirm this is the case by explicit construction of a cycle involving two carriers, and then extend this to show how more complex cycles emerge. Our work highlights the importance of series and cycles towards determining the underlying mechanism(s) and carrier(s) in contact electrification.","lang":"eng"}],"title":"Multiple charge carrier species as a possible cause for triboelectric cycles","day":"29","status":"public","citation":{"chicago":"Sobarzo Ponce, Juan Carlos A, and Scott R Waitukaitis. “Multiple Charge Carrier Species as a Possible Cause for Triboelectric Cycles.” <i>Physical Review E</i>. American Physical Society, 2024. <a href=\"https://doi.org/10.1103/PhysRevE.109.L032108\">https://doi.org/10.1103/PhysRevE.109.L032108</a>.","apa":"Sobarzo Ponce, J. C. A., &#38; Waitukaitis, S. R. (2024). Multiple charge carrier species as a possible cause for triboelectric cycles. <i>Physical Review E</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevE.109.L032108\">https://doi.org/10.1103/PhysRevE.109.L032108</a>","mla":"Sobarzo Ponce, Juan Carlos A., and Scott R. Waitukaitis. “Multiple Charge Carrier Species as a Possible Cause for Triboelectric Cycles.” <i>Physical Review E</i>, vol. 109, no. 3, L032108, American Physical Society, 2024, doi:<a href=\"https://doi.org/10.1103/PhysRevE.109.L032108\">10.1103/PhysRevE.109.L032108</a>.","short":"J.C.A. Sobarzo Ponce, S.R. Waitukaitis, Physical Review E 109 (2024).","ieee":"J. C. A. Sobarzo Ponce and S. R. Waitukaitis, “Multiple charge carrier species as a possible cause for triboelectric cycles,” <i>Physical Review E</i>, vol. 109, no. 3. American Physical Society, 2024.","ista":"Sobarzo Ponce JCA, Waitukaitis SR. 2024. Multiple charge carrier species as a possible cause for triboelectric cycles. Physical Review E. 109(3), L032108.","ama":"Sobarzo Ponce JCA, Waitukaitis SR. Multiple charge carrier species as a possible cause for triboelectric cycles. <i>Physical Review E</i>. 2024;109(3). doi:<a href=\"https://doi.org/10.1103/PhysRevE.109.L032108\">10.1103/PhysRevE.109.L032108</a>"},"intvolume":"       109","oa_version":"None","article_type":"letter_note","type":"journal_article","scopus_import":"1","_id":"15322","isi":1,"date_published":"2024-03-29T00:00:00Z","month":"03","language":[{"iso":"eng"}],"date_updated":"2026-07-29T13:11:24Z","publisher":"American Physical Society","department":[{"_id":"ScWa"}]},{"quality_controlled":"1","file":[{"file_id":"15175","relation":"main_file","checksum":"0524d4189fd1ed08989546511343edf3","access_level":"open_access","date_updated":"2024-03-25T07:44:30Z","file_size":927290,"date_created":"2024-03-25T07:44:30Z","content_type":"application/pdf","file_name":"2024_LIPICs_Filakovsky.pdf","creator":"dernst","success":1}],"corr_author":"1","ddc":["510"],"conference":{"location":"Clermont-Ferrand, France","end_date":"2024-03-14","name":"STACS: Symposium on Theoretical Aspects of Computer Science","start_date":"2024-03-12"},"has_accepted_license":"1","article_number":"34","year":"2024","date_created":"2024-03-24T23:00:59Z","publication":"41st International Symposium on Theoretical Aspects of Computer Science","publication_identifier":{"isbn":["9783959773119"],"eissn":["1868-8969"]},"doi":"10.4230/LIPIcs.STACS.2024.34","abstract":[{"lang":"eng","text":"A linearly ordered (LO) k-colouring of a hypergraph is a colouring of its vertices with colours 1, … , k such that each edge contains a unique maximal colour. Deciding whether an input hypergraph admits LO k-colouring with a fixed number of colours is NP-complete (and in the special case of graphs, LO colouring coincides with the usual graph colouring). Here, we investigate the complexity of approximating the \"linearly ordered chromatic number\" of a hypergraph. We prove that the following promise problem is NP-complete: Given a 3-uniform hypergraph, distinguish between the case that it is LO 3-colourable, and the case that it is not even LO 4-colourable. We prove this result by a combination of algebraic, topological, and combinatorial methods, building on and extending a topological approach for studying approximate graph colouring introduced by Krokhin, Opršal, Wrochna, and Živný (2023)."}],"external_id":{"isi":["001300393400034"],"arxiv":["2312.12981"]},"publication_status":"published","article_processing_charge":"No","title":"Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs","volume":289,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Marek","last_name":"Filakovský","id":"3E8AF77E-F248-11E8-B48F-1D18A9856A87","full_name":"Filakovský, Marek"},{"last_name":"Nakajima","first_name":"Tamio Vesa","full_name":"Nakajima, Tamio Vesa"},{"full_name":"Opršal, Jakub","id":"ec596741-c539-11ec-b829-c79322a91242","orcid":"0000-0003-1245-3456","first_name":"Jakub","last_name":"Opršal"},{"id":"0433290C-AF8F-11E9-A4C7-F729E6697425","full_name":"Tasinato, Gianluca","first_name":"Gianluca","last_name":"Tasinato"},{"orcid":"0000-0002-1494-0568","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","full_name":"Wagner, Uli","first_name":"Uli","last_name":"Wagner"}],"related_material":{"record":[{"status":"public","relation":"later_version","id":"22247"},{"id":"20339","relation":"dissertation_contains","status":"public"}]},"project":[{"grant_number":"P31312","_id":"26611F5C-B435-11E9-9278-68D0E5697425","name":"Algorithms for Embeddings and Homotopy Theory","call_identifier":"FWF"},{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program"}],"citation":{"ama":"Filakovský M, Nakajima TV, Opršal J, Tasinato G, Wagner U. Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. In: <i>41st International Symposium on Theoretical Aspects of Computer Science</i>. Vol 289. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:<a href=\"https://doi.org/10.4230/LIPIcs.STACS.2024.34\">10.4230/LIPIcs.STACS.2024.34</a>","ista":"Filakovský M, Nakajima TV, Opršal J, Tasinato G, Wagner U. 2024. Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. 41st International Symposium on Theoretical Aspects of Computer Science. STACS: Symposium on Theoretical Aspects of Computer Science, LIPIcs, vol. 289, 34.","short":"M. Filakovský, T.V. Nakajima, J. Opršal, G. Tasinato, U. Wagner, in:, 41st International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.","ieee":"M. Filakovský, T. V. Nakajima, J. Opršal, G. Tasinato, and U. Wagner, “Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs,” in <i>41st International Symposium on Theoretical Aspects of Computer Science</i>, Clermont-Ferrand, France, 2024, vol. 289.","mla":"Filakovský, Marek, et al. “Hardness of Linearly Ordered 4-Colouring of 3-Colourable 3-Uniform Hypergraphs.” <i>41st International Symposium on Theoretical Aspects of Computer Science</i>, vol. 289, 34, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:<a href=\"https://doi.org/10.4230/LIPIcs.STACS.2024.34\">10.4230/LIPIcs.STACS.2024.34</a>.","chicago":"Filakovský, Marek, Tamio Vesa Nakajima, Jakub Opršal, Gianluca Tasinato, and Uli Wagner. “Hardness of Linearly Ordered 4-Colouring of 3-Colourable 3-Uniform Hypergraphs.” In <i>41st International Symposium on Theoretical Aspects of Computer Science</i>, Vol. 289. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. <a href=\"https://doi.org/10.4230/LIPIcs.STACS.2024.34\">https://doi.org/10.4230/LIPIcs.STACS.2024.34</a>.","apa":"Filakovský, M., Nakajima, T. V., Opršal, J., Tasinato, G., &#38; Wagner, U. (2024). Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. In <i>41st International Symposium on Theoretical Aspects of Computer Science</i> (Vol. 289). Clermont-Ferrand, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.STACS.2024.34\">https://doi.org/10.4230/LIPIcs.STACS.2024.34</a>"},"ec_funded":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","day":"01","alternative_title":["LIPIcs"],"oa":1,"file_date_updated":"2024-03-25T07:44:30Z","isi":1,"department":[{"_id":"UlWa"}],"arxiv":1,"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","date_updated":"2026-07-29T13:13:17Z","month":"03","language":[{"iso":"eng"}],"date_published":"2024-03-01T00:00:00Z","acknowledgement":"Marek Filakovský: This research was supported by Charles University (project PRIMUS/\r\n21/SCI/014), the Austrian Science Fund (FWF project P31312-N35), and MSCAfellow5_MUNI\r\n(CZ.02.01.01/00/22_010/0003229). Tamio-Vesa Nakajima: This research was funded by UKRI EP/X024431/1 and by a Clarendon Fund Scholarship. All data is provided in full in the results section of this paper. Jakub Opršal: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No 101034413. Uli Wagner: This research was supported by the Austrian Science Fund (FWF project P31312-N35).","type":"conference","oa_version":"Published Version","intvolume":"       289","_id":"15168","scopus_import":"1"},{"status":"public","day":"01","OA_type":"closed access","ec_funded":1,"project":[{"call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818"}],"citation":{"ama":"Chatterjee K, Oliu-Barton M, Saona Urmeneta RJ. Value-positivity for matrix games. <i>Mathematics of Operations Research</i>. 2024;50(4):2433-3282. doi:<a href=\"https://doi.org/10.1287/moor.2022.0332\">10.1287/moor.2022.0332</a>","ista":"Chatterjee K, Oliu-Barton M, Saona Urmeneta RJ. 2024. Value-positivity for matrix games. Mathematics of Operations Research. 50(4), 2433–3282.","short":"K. Chatterjee, M. Oliu-Barton, R.J. Saona Urmeneta, Mathematics of Operations Research 50 (2024) 2433–3282.","ieee":"K. Chatterjee, M. Oliu-Barton, and R. J. Saona Urmeneta, “Value-positivity for matrix games,” <i>Mathematics of Operations Research</i>, vol. 50, no. 4. Institute for Operations Research and the Management Sciences, pp. 2433–3282, 2024.","mla":"Chatterjee, Krishnendu, et al. “Value-Positivity for Matrix Games.” <i>Mathematics of Operations Research</i>, vol. 50, no. 4, Institute for Operations Research and the Management Sciences, 2024, pp. 2433–3282, doi:<a href=\"https://doi.org/10.1287/moor.2022.0332\">10.1287/moor.2022.0332</a>.","apa":"Chatterjee, K., Oliu-Barton, M., &#38; Saona Urmeneta, R. J. (2024). Value-positivity for matrix games. <i>Mathematics of Operations Research</i>. Institute for Operations Research and the Management Sciences. <a href=\"https://doi.org/10.1287/moor.2022.0332\">https://doi.org/10.1287/moor.2022.0332</a>","chicago":"Chatterjee, Krishnendu, Miquel Oliu-Barton, and Raimundo J Saona Urmeneta. “Value-Positivity for Matrix Games.” <i>Mathematics of Operations Research</i>. Institute for Operations Research and the Management Sciences, 2024. <a href=\"https://doi.org/10.1287/moor.2022.0332\">https://doi.org/10.1287/moor.2022.0332</a>."},"_id":"18266","scopus_import":"1","type":"journal_article","acknowledgement":"This research was supported by Fondation CFM pour la Recherche, the H2020 European Research Council [Grant ERC-CoG-863818 (ForM-SMArt)], the Austrian Science Fund [Grant 10.55776/COE12], ANID Chile [Grant ACT210005], and Agence Nationale de la Recherche [Grant ANR-21-CE40-0020].","article_type":"original","oa_version":"None","intvolume":"        50","department":[{"_id":"GradSch"},{"_id":"KrCh"}],"publisher":"Institute for Operations Research and the Management Sciences","date_updated":"2026-07-29T13:14:36Z","language":[{"iso":"eng"}],"month":"10","date_published":"2024-10-01T00:00:00Z","isi":1,"publication":"Mathematics of Operations Research","issue":"4","publication_identifier":{"issn":["0364-765X"],"eissn":["1526-5471"]},"doi":"10.1287/moor.2022.0332","year":"2024","date_created":"2024-10-09T07:02:20Z","quality_controlled":"1","corr_author":"1","related_material":{"record":[{"status":"public","id":"20234","relation":"dissertation_contains"}]},"volume":50,"author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee"},{"last_name":"Oliu-Barton","first_name":"Miquel","full_name":"Oliu-Barton, Miquel"},{"first_name":"Raimundo J","last_name":"Saona Urmeneta","full_name":"Saona Urmeneta, Raimundo J","orcid":"0000-0001-5103-038X","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Value-positivity for matrix games","abstract":[{"text":"Matrix games are the most basic model in game theory, and yet robustness with respect to small perturbations of the matrix entries is not fully understood. In this paper, we introduce value positivity and uniform value positivity, two properties that refine the notion of optimality in the context of polynomially perturbed matrix games. The first concept captures how the value depends on the perturbation parameter, and the second consists of the existence of a fixed strategy that guarantees the value of the unperturbed matrix game for every sufficiently small positive parameter. We provide polynomial-time algorithms to check whether a polynomially perturbed matrix game satisfies these properties. We further provide the functional form for a parameterized optimal strategy and the value function. Finally, we translate our results to linear programming and stochastic games, where value positivity is related to the existence of robust solutions.","lang":"eng"}],"publication_status":"published","external_id":{"isi":["001328875900001"]},"page":"2433-3282","article_processing_charge":"No"},{"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19540"}]},"OA_place":"repository","author":[{"full_name":"Cipolloni, Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4901-7992","first_name":"Giorgio","last_name":"Cipolloni"},{"full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös"},{"full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","last_name":"Henheik"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","title":"Eigenstate thermalisation at the edge for Wigner matrices","abstract":[{"lang":"eng","text":"We prove the Eigenstate Thermalisation Hypothesis for Wigner matrices\r\nuniformly in the entire spectrum, in particular near the spectral edges, with a\r\nbound on the fluctuation that is optimal for any observable. This complements\r\nearlier works of Cipolloni et. al. (Comm. Math. Phys. 388, 2021; Forum Math.,\r\nSigma 10, 2022) and Benigni et. al. (Comm. Math. Phys. 391, 2022; arXiv:\r\n2303.11142) that were restricted either to the bulk of the spectrum or to\r\nspecial observables. As a main ingredient, we prove a new multi-resolvent local\r\nlaw that optimally accounts for the edge scaling."}],"external_id":{"arxiv":["2309.05488"]},"publication_status":"draft","article_processing_charge":"No","publication":"arXiv","doi":"10.48550/arXiv.2309.05488","year":"2024","date_created":"2025-04-11T08:19:22Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2309.05488","open_access":"1"}],"corr_author":"1","_id":"19545","type":"preprint","acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","oa_version":"Preprint","arxiv":1,"department":[{"_id":"LaEr"}],"date_updated":"2026-07-29T13:18:16Z","language":[{"iso":"eng"}],"month":"12","date_published":"2024-12-17T00:00:00Z","oa":1,"status":"public","day":"17","ec_funded":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"project":[{"grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020"}],"citation":{"ista":"Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for Wigner matrices. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2309.05488\">10.48550/arXiv.2309.05488</a>.","ama":"Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for Wigner matrices. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2309.05488\">10.48550/arXiv.2309.05488</a>","short":"G. Cipolloni, L. Erdös, S.J. Henheik, ArXiv (n.d.).","ieee":"G. Cipolloni, L. Erdös, and S. J. Henheik, “Eigenstate thermalisation at the edge for Wigner matrices,” <i>arXiv</i>. .","mla":"Cipolloni, Giorgio, et al. “Eigenstate Thermalisation at the Edge for Wigner Matrices.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2309.05488\">10.48550/arXiv.2309.05488</a>.","apa":"Cipolloni, G., Erdös, L., &#38; Henheik, S. J. (n.d.). Eigenstate thermalisation at the edge for Wigner matrices. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2309.05488\">https://doi.org/10.48550/arXiv.2309.05488</a>","chicago":"Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Eigenstate Thermalisation at the Edge for Wigner Matrices.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2309.05488\">https://doi.org/10.48550/arXiv.2309.05488</a>."}},{"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","author":[{"last_name":"Henheik","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha"},{"last_name":"Langmann","first_name":"Edwin","full_name":"Langmann, Edwin"},{"last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard"}],"oa_version":"Preprint","type":"preprint","OA_place":"repository","_id":"19550","related_material":{"record":[{"status":"public","id":"22290","relation":"later_version"},{"status":"public","id":"19540","relation":"dissertation_contains"}]},"article_processing_charge":"No","abstract":[{"lang":"eng","text":"We introduce a multi-band BCS free energy functional and prove that for a\r\nmulti-band superconductor the effect of inter-band coupling can only increase\r\nthe critical temperature, irrespective of its attractive or repulsive nature\r\nand its strength. Further, for weak coupling and weaker inter-band coupling, we\r\nprove that the dependence of the increase in critical temperature on the\r\ninter-band coupling is (1) linear, if there are two or more equally strongly\r\nsuperconducting bands, or (2) quadratic, if there is only one dominating band."}],"oa":1,"external_id":{"arxiv":["2409.17297"]},"publication_status":"draft","month":"10","title":"Multi-band superconductors have enhanced critical temperatures","language":[{"iso":"eng"}],"date_published":"2024-10-21T00:00:00Z","department":[{"_id":"LaEr"},{"_id":"RoSe"}],"arxiv":1,"date_updated":"2026-07-29T13:18:16Z","year":"2024","date_created":"2025-04-11T11:43:58Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"doi":"10.48550/arXiv.2409.17297","day":"21","publication":"arXiv","status":"public","corr_author":"1","citation":{"short":"S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.).","ieee":"S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors have enhanced critical temperatures,” <i>arXiv</i>. .","ama":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2409.17297\">10.48550/arXiv.2409.17297</a>","ista":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2409.17297\">10.48550/arXiv.2409.17297</a>.","chicago":"Henheik, Sven Joscha, Edwin Langmann, and Asbjørn Bækgaard Lauritsen. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2409.17297\">https://doi.org/10.48550/arXiv.2409.17297</a>.","apa":"Henheik, S. J., Langmann, E., &#38; Lauritsen, A. B. (n.d.). Multi-band superconductors have enhanced critical temperatures. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2409.17297\">https://doi.org/10.48550/arXiv.2409.17297</a>","mla":"Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2409.17297\">10.48550/arXiv.2409.17297</a>."},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2409.17297"}]},{"publication":"Journal of Functional Analysis","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"doi":"10.1016/j.jfa.2024.110495","issue":"4","article_number":"110495","date_created":"2024-05-26T22:00:57Z","year":"2024","ddc":["510"],"has_accepted_license":"1","file":[{"file_id":"19891","file_size":1374854,"date_updated":"2025-06-24T13:14:21Z","relation":"main_file","checksum":"07d3f73e0c56e68eb110851842c22ee0","access_level":"open_access","content_type":"application/pdf","file_name":"2025_JourFunctionalAnalysis_Cipolloni.pdf","date_created":"2025-06-24T13:14:21Z","creator":"dernst","success":1}],"quality_controlled":"1","corr_author":"1","related_material":{"record":[{"relation":"dissertation_contains","id":"19540","status":"public"}]},"volume":287,"OA_place":"publisher","author":[{"orcid":"0000-0002-4901-7992","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","full_name":"Cipolloni, Giorgio","first_name":"Giorgio","last_name":"Cipolloni"},{"full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László"},{"orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","last_name":"Henheik"},{"full_name":"Schröder, Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2904-1856","first_name":"Dominik J","last_name":"Schröder"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices","publication_status":"published","external_id":{"isi":["001325502400001"]},"abstract":[{"lang":"eng","text":"We consider large non-Hermitian NxN matrices with an additive independent, identically distributed (i.i.d.) noise for each matrix elements. We show that already a small noise of variance 1/N completely thermalises the bulk singular vectors, in particular they satisfy the strong form of Quantum Unique Ergodicity (QUE) with an optimal speed of convergence. In physics terms, we thus extend the Eigenstate Thermalisation Hypothesis, formulated originally by Deutsch [34] and proven for Wigner matrices in [23], to arbitrary non-Hermitian matrices with an i.i.d. noise. As a consequence we obtain an optimal lower bound on the diagonal overlaps of the corresponding non-Hermitian eigenvectors. This quantity, also known as the (square of the) eigenvalue condition number measuring the sensitivity of the eigenvalue to small perturbations, has notoriously escaped rigorous treatment beyond the explicitly computable Ginibre ensemble apart from the very recent upper bounds given in [7] and [45]. As a key tool, we develop a new systematic decomposition of general observables in random matrix theory that governs the size of products of resolvents with deterministic matrices in between."}],"article_processing_charge":"Yes (via OA deal)","day":"15","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"OA_type":"hybrid","ec_funded":1,"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"citation":{"ista":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. 2024. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 287(4), 110495.","ama":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. <i>Journal of Functional Analysis</i>. 2024;287(4). doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110495\">10.1016/j.jfa.2024.110495</a>","ieee":"G. Cipolloni, L. Erdös, S. J. Henheik, and D. J. Schröder, “Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices,” <i>Journal of Functional Analysis</i>, vol. 287, no. 4. Elsevier, 2024.","short":"G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (2024).","mla":"Cipolloni, Giorgio, et al. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” <i>Journal of Functional Analysis</i>, vol. 287, no. 4, 110495, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110495\">10.1016/j.jfa.2024.110495</a>.","chicago":"Cipolloni, Giorgio, László Erdös, Sven Joscha Henheik, and Dominik J Schröder. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” <i>Journal of Functional Analysis</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.jfa.2024.110495\">https://doi.org/10.1016/j.jfa.2024.110495</a>.","apa":"Cipolloni, G., Erdös, L., Henheik, S. J., &#38; Schröder, D. J. (2024). Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2024.110495\">https://doi.org/10.1016/j.jfa.2024.110495</a>"},"scopus_import":"1","_id":"17049","acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.\r\nSupported by the SNSF Ambizione Grant PZ00P2_209089.","type":"journal_article","intvolume":"       287","oa_version":"Published Version","article_type":"original","date_updated":"2026-07-29T13:18:17Z","department":[{"_id":"LaEr"}],"publisher":"Elsevier","date_published":"2024-08-15T00:00:00Z","month":"08","language":[{"iso":"eng"}],"file_date_updated":"2025-06-24T13:14:21Z","oa":1,"isi":1},{"article_number":"2360005 ","year":"2024","date_created":"2023-11-15T23:48:14Z","publication":"Reviews in Mathematical Physics","issue":"9","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"doi":"10.1142/s0129055x2360005x","quality_controlled":"1","file":[{"creator":"dernst","success":1,"content_type":"application/pdf","file_name":"2024_ReviewsmathPhysics_Henheik.pdf","date_created":"2025-01-09T07:56:28Z","date_updated":"2025-01-09T07:56:28Z","file_size":503910,"relation":"main_file","checksum":"2b053a4223b4db14b90520999ec56054","access_level":"open_access","file_id":"18786"}],"corr_author":"1","ddc":["510"],"has_accepted_license":"1","volume":36,"OA_place":"publisher","author":[{"full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha","last_name":"Henheik"},{"id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard"},{"last_name":"Roos","first_name":"Barbara","full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880","id":"5DA90512-D80F-11E9-8994-2E2EE6697425"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"id":"18135","relation":"dissertation_contains","status":"public"},{"status":"public","relation":"dissertation_contains","id":"19540"}]},"abstract":[{"lang":"eng","text":"It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature Ξ\r\n and the critical temperature Tc is (approximately) given by a universal constant, independent of the microscopic details of the fermionic interaction. This universality has rigorously been proven quite recently in three spatial dimensions and three different limiting regimes: weak coupling, low density and high density. The goal of this short note is to extend the universal behavior to lower dimensions d=1,2 and give an exemplary proof in the weak coupling limit."}],"publication_status":"published","external_id":{"arxiv":["2301.05621"],"isi":["001099640300002"]},"article_processing_charge":"Yes (in subscription journal)","title":"Universality in low-dimensional BCS theory","OA_type":"hybrid","ec_funded":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","day":"01","project":[{"call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331"},{"name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b"}],"citation":{"mla":"Henheik, Sven Joscha, et al. “Universality in Low-Dimensional BCS Theory.” <i>Reviews in Mathematical Physics</i>, vol. 36, no. 9, 2360005, World Scientific Publishing, 2024, doi:<a href=\"https://doi.org/10.1142/s0129055x2360005x\">10.1142/s0129055x2360005x</a>.","chicago":"Henheik, Sven Joscha, Asbjørn Bækgaard Lauritsen, and Barbara Roos. “Universality in Low-Dimensional BCS Theory.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2024. <a href=\"https://doi.org/10.1142/s0129055x2360005x\">https://doi.org/10.1142/s0129055x2360005x</a>.","apa":"Henheik, S. J., Lauritsen, A. B., &#38; Roos, B. (2024). Universality in low-dimensional BCS theory. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x2360005x\">https://doi.org/10.1142/s0129055x2360005x</a>","ista":"Henheik SJ, Lauritsen AB, Roos B. 2024. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. 36(9), 2360005.","ama":"Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory. <i>Reviews in Mathematical Physics</i>. 2024;36(9). doi:<a href=\"https://doi.org/10.1142/s0129055x2360005x\">10.1142/s0129055x2360005x</a>","short":"S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics 36 (2024).","ieee":"S. J. Henheik, A. B. Lauritsen, and B. Roos, “Universality in low-dimensional BCS theory,” <i>Reviews in Mathematical Physics</i>, vol. 36, no. 9. World Scientific Publishing, 2024."},"acknowledgement":"We thank Robert Seiringer for comments on the paper. J. H. gratefully acknowledges  partial  financial  support  by  the  ERC  Advanced  Grant  “RMTBeyond”No. 101020331.This research was funded in part by the Austrian Science Fund (FWF) grantnumber I6427.","type":"journal_article","article_type":"original","oa_version":"Published Version","intvolume":"        36","_id":"14542","scopus_import":"1","oa":1,"file_date_updated":"2025-01-09T07:56:28Z","isi":1,"arxiv":1,"publisher":"World Scientific Publishing","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"date_updated":"2026-07-29T13:18:16Z","language":[{"iso":"eng"}],"month":"10","date_published":"2024-10-01T00:00:00Z"},{"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19540"}]},"volume":28,"OA_place":"repository","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"id":"42198EFA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4901-7992","full_name":"Cipolloni, Giorgio","first_name":"Giorgio","last_name":"Cipolloni"},{"last_name":"Erdös","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","full_name":"Erdös, László"},{"full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","last_name":"Henheik","first_name":"Sven Joscha"}],"title":"Out-of-time-ordered correlators for Wigner matrices","external_id":{"arxiv":["2402.17609"]},"publication_status":"published","abstract":[{"lang":"eng","text":"We consider the time evolution of the out-of-time-ordered correlator (OTOC) of two general observables \r\n and \r\n in a mean field chaotic quantum system described by a random Wigner matrix as its Hamiltonian. We rigorously identify three time regimes separated by the physically relevant scrambling and relaxation times. The main feature of our analysis is that we express the error terms in the optimal Schatten (tracial) norms of the observables, allowing us to track the exact dependence of the errors on their rank. In particular, for significantly overlapping observables with low rank the OTOC is shown to exhibit a significant local maximum at the scrambling time, a feature that may not have been noticed in the physics literature before. Our main tool is a novel multi-resolvent local law with Schatten norms that unifies and improves previous local laws involving either the much cruder operator norm (cf. [10]) or the Hilbert-Schmidt norm (cf. [11])."}],"article_processing_charge":"No","page":"2025-2083","das_tickbox":"1","publication":"Advances in Theoretical and Mathematical Physics","publication_identifier":{"eissn":["1095-0753"],"issn":["1095-0761"]},"doi":"10.4310/ATMP.241031013250","issue":"6","date_created":"2024-12-15T23:01:51Z","year":"2024","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2402.17609","open_access":"1"}],"quality_controlled":"1","corr_author":"1","scopus_import":"1","_id":"18656","acknowledgement":"LE and JH were supported by the ERC Advanced Grant łRMTBeyondž No. 101020331","type":"journal_article","intvolume":"        28","oa_version":"Preprint","article_type":"original","date_updated":"2026-07-29T13:18:17Z","department":[{"_id":"LaEr"}],"arxiv":1,"publisher":"International Press of Boston","date_published":"2024-10-30T00:00:00Z","language":[{"iso":"eng"}],"month":"10","oa":1,"status":"public","day":"30","OA_type":"green","ec_funded":1,"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"citation":{"ama":"Cipolloni G, Erdös L, Henheik SJ. Out-of-time-ordered correlators for Wigner matrices. <i>Advances in Theoretical and Mathematical Physics</i>. 2024;28(6):2025-2083. doi:<a href=\"https://doi.org/10.4310/ATMP.241031013250\">10.4310/ATMP.241031013250</a>","ista":"Cipolloni G, Erdös L, Henheik SJ. 2024. Out-of-time-ordered correlators for Wigner matrices. Advances in Theoretical and Mathematical Physics. 28(6), 2025–2083.","short":"G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.","ieee":"G. Cipolloni, L. Erdös, and S. J. Henheik, “Out-of-time-ordered correlators for Wigner matrices,” <i>Advances in Theoretical and Mathematical Physics</i>, vol. 28, no. 6. International Press of Boston, pp. 2025–2083, 2024.","mla":"Cipolloni, Giorgio, et al. “Out-of-Time-Ordered Correlators for Wigner Matrices.” <i>Advances in Theoretical and Mathematical Physics</i>, vol. 28, no. 6, International Press of Boston, 2024, pp. 2025–83, doi:<a href=\"https://doi.org/10.4310/ATMP.241031013250\">10.4310/ATMP.241031013250</a>.","chicago":"Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Out-of-Time-Ordered Correlators for Wigner Matrices.” <i>Advances in Theoretical and Mathematical Physics</i>. International Press of Boston, 2024. <a href=\"https://doi.org/10.4310/ATMP.241031013250\">https://doi.org/10.4310/ATMP.241031013250</a>.","apa":"Cipolloni, G., Erdös, L., &#38; Henheik, S. J. (2024). Out-of-time-ordered correlators for Wigner matrices. <i>Advances in Theoretical and Mathematical Physics</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/ATMP.241031013250\">https://doi.org/10.4310/ATMP.241031013250</a>"}},{"oa_version":"Preprint","type":"preprint","acknowledgement":"Supported by the ERC Advanced Grant \"RMTBeyond\"\r\nNo. 101020331.","_id":"19547","oa":1,"date_published":"2024-11-03T00:00:00Z","language":[{"iso":"eng"}],"month":"11","date_updated":"2026-07-29T13:18:17Z","arxiv":1,"department":[{"_id":"LaEr"}],"ec_funded":1,"status":"public","day":"03","citation":{"chicago":"Erdös, László, Sven Joscha Henheik, and Volodymyr Riabov. “Cusp Universality for Correlated Random Matrices.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2410.06813\">https://doi.org/10.48550/arXiv.2410.06813</a>.","apa":"Erdös, L., Henheik, S. J., &#38; Riabov, V. (n.d.). Cusp universality for correlated random matrices. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2410.06813\">https://doi.org/10.48550/arXiv.2410.06813</a>","mla":"Erdös, László, et al. “Cusp Universality for Correlated Random Matrices.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2410.06813\">10.48550/arXiv.2410.06813</a>.","short":"L. Erdös, S.J. Henheik, V. Riabov, ArXiv (n.d.).","ieee":"L. Erdös, S. J. Henheik, and V. Riabov, “Cusp universality for correlated random matrices,” <i>arXiv</i>. .","ista":"Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2410.06813\">10.48550/arXiv.2410.06813</a>.","ama":"Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2410.06813\">10.48550/arXiv.2410.06813</a>"},"project":[{"grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020"}],"author":[{"first_name":"László","last_name":"Erdös","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László"},{"full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","last_name":"Henheik","first_name":"Sven Joscha"},{"last_name":"Riabov","first_name":"Volodymyr","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","full_name":"Riabov, Volodymyr"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","OA_place":"repository","related_material":{"record":[{"id":"20322","relation":"later_version","status":"public"},{"relation":"dissertation_contains","id":"20575","status":"public"},{"status":"public","id":"19540","relation":"dissertation_contains"}]},"article_processing_charge":"No","external_id":{"arxiv":["2410.06813"]},"publication_status":"draft","abstract":[{"lang":"eng","text":"For correlated real symmetric or complex Hermitian random matrices, we prove\r\nthat the local eigenvalue statistics at any cusp singularity are universal.\r\nSince the density of states typically exhibits only square root edge or cubic\r\nroot cusp singularities, our result completes the proof of the\r\nWigner-Dyson-Mehta universality conjecture in all spectral regimes for a very\r\ngeneral class of random matrices. Previously only the bulk and the edge\r\nuniversality were established in this generality [arXiv:1804.07744], while cusp\r\nuniversality was proven only for Wigner-type matrices with independent entries\r\n[arXiv:1809.03971, arXiv:1811.04055]. As our main technical input, we prove an\r\noptimal local law at the cusp using the Zigzag strategy, a recursive tandem of\r\nthe characteristic flow method and a Green function comparison argument.\r\nMoreover, our proof of the optimal local law holds uniformly in the spectrum,\r\nthus also re-establishing universality of the local eigenvalue statistics in\r\nthe previously studied bulk [arXiv:1705.10661] and edge [arXiv:1804.07744]\r\nregimes."}],"title":"Cusp universality for correlated random matrices","date_created":"2025-04-11T08:48:21Z","year":"2024","doi":"10.48550/arXiv.2410.06813","publication":"arXiv","corr_author":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2410.06813","open_access":"1"}]},{"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_created":"2025-04-11T11:54:56Z","year":"2024","status":"public","publication":"arXiv","day":"14","doi":"10.48550/arXiv.2410.10809","citation":{"short":"S.J. Henheik, T. Wessel, ArXiv (n.d.).","ieee":"S. J. Henheik and T. Wessel, “Response theory for locally gapped systems,” <i>arXiv</i>. .","ista":"Henheik SJ, Wessel T. Response theory for locally gapped systems. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2410.10809\">10.48550/arXiv.2410.10809</a>.","ama":"Henheik SJ, Wessel T. Response theory for locally gapped systems. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2410.10809\">10.48550/arXiv.2410.10809</a>","apa":"Henheik, S. J., &#38; Wessel, T. (n.d.). Response theory for locally gapped systems. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2410.10809\">https://doi.org/10.48550/arXiv.2410.10809</a>","chicago":"Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped Systems.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2410.10809\">https://doi.org/10.48550/arXiv.2410.10809</a>.","mla":"Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped Systems.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2410.10809\">10.48550/arXiv.2410.10809</a>."},"corr_author":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2410.10809"}],"type":"preprint","OA_place":"repository","oa_version":"Preprint","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","last_name":"Henheik"},{"full_name":"Wessel, Tom","first_name":"Tom","last_name":"Wessel"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","_id":"19551","related_material":{"record":[{"relation":"dissertation_contains","id":"19540","status":"public"}]},"external_id":{"arxiv":["2410.10809"]},"publication_status":"draft","abstract":[{"text":"We introduce a notion of a \\emph{local gap} for interacting many-body quantum lattice systems and prove the validity of response theory and Kubo's formula for localized perturbations in such settings.\r\nOn a high level, our result shows that the usual spectral gap condition, concerning the system as a whole, is not a necessary condition for understanding local properties of the system.\r\nMore precisely, we say that an equilibrium state ρ0 of a Hamiltonian H0 is locally gapped in Λgap⊂Λ, whenever the Liouvillian −i[H0,⋅] is almost invertible on local observables supported in Λgap when tested in ρ0.\r\nTo put this into context, we provide other alternative notions of a local gap and discuss their relations.\r\nThe validity of response theory is based on the construction of \\emph{non-equilibrium almost stationary states} (NEASSs).\r\nBy controlling locality properties of the NEASS construction, we show that response theory holds to any order, whenever the perturbation \\(\\epsilon V\\) acts in a region which is further than |logϵ| away from the non-gapped region Λ∖Λgap.","lang":"eng"}],"oa":1,"article_processing_charge":"No","date_updated":"2026-07-29T13:18:16Z","arxiv":1,"department":[{"_id":"LaEr"}],"date_published":"2024-10-14T00:00:00Z","month":"10","title":"Response theory for locally gapped systems","language":[{"iso":"eng"}]},{"publication_status":"published","abstract":[{"text":"Large language models (LLMs) have made tremendous progress in the past few years, from being able to generate coherent text to matching or surpassing humans in a wide variety of creative, knowledge or reasoning tasks. Much of this can be attributed to massively increased scale, both in the size of the model as well as the amount of training data, from 100s of millions to 100s of billions, or even trillions. This trend is expected to continue, which, although exciting, also raises major practical concerns. Already today's 100+ billion parameter LLMs require top-of-the-line hardware just to run. Hence, it is clear that sustaining these developments will require significant efficiency advances.\r\n\r\nHistorically, one of the most practical ways of improving model efficiency has been compression, especially in the form of sparsity or quantization. While this has been studied extensively in the past, existing accurate methods are all designed for models around 100 million parameters; scaling them up to ones literally 1000x larger is highly challenging. In this thesis, we introduce a new unified sparsification and quantization approach OBC, which through additional algorithmic enhancements leads to GPTQ and SparseGPT, the first techniques fast and accurate enough to compress 100+ billion parameter models to 4- or even 3-bit precision and 50% weight-sparsity, respectively. Additionally, we show how weight-only quantizion does not just bring space savings but also up to 4.5x faster generation speed, via custom GPU kernels.\r\n\r\nIn fact, we show for the first time that it is possible to develop an FP16 times INT4 mixed-precision matrix multiplication kernel, called Marlin, which comes close to simultaneously maximizing both memory and compute utilization, making weight-only quantization highly practical even for multi-user serving. Further, we demonstrate that GPTQ can be scaled to widely overparametrized trillion-parameter models, where extreme sub-1-bit compression rates can be achieved without any inference slow-down, by co-designing a bespoke entropy coding scheme together with an efficient kernel.\r\n\r\nFinally, we also study compression from the perspective of someone with access to massive amounts of compute resources for training large models completely from scratch. Here the key questions evolve around the joint scaling behavior between compression, model size, and amount of training data used. Based on extensive experimental results for both vision and text models, we introduce the first scaling law which accurately captures the relationship between weight-sparsity, number of non-zero weights and data. This further allows us to characterize the optimal sparsity, which we find to increase the longer a fixed cost model is being trained.\r\n\r\nOverall, this thesis presents contributions to three different angles of large model efficiency: affordable but accurate algorithms, highly efficient systems implementations, and fundamental scaling laws for compressed training.","lang":"eng"}],"article_processing_charge":"No","page":"129","doi_confirm":"1","supervisor":[{"first_name":"Dan-Adrian","last_name":"Alistarh","orcid":"0000-0003-3650-940X","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","full_name":"Alistarh, Dan-Adrian"}],"degree_awarded":"PhD","title":"Compressing large neural networks: Algorithms, systems and scaling laws","OA_place":"publisher","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","author":[{"last_name":"Frantar","first_name":"Elias","id":"09a8f98d-ec99-11ea-ae11-c063a7b7fe5f","full_name":"Frantar, Elias"}],"related_material":{"record":[{"relation":"part_of_dissertation","id":"17378","status":"public"},{"status":"public","id":"17087","relation":"part_of_dissertation"},{"id":"14458","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"18062","relation":"part_of_dissertation"},{"status":"public","relation":"part_of_dissertation","id":"18061"}]},"acknowledged_ssus":[{"_id":"ScienComp"}],"file":[{"date_created":"2024-09-05T12:04:11Z","content_type":"application/zip","file_name":"thesis-final.zip","creator":"efrantar","file_id":"17570","relation":"source_file","checksum":"5d785645805a78c5b4ce7cc3df557b09","access_level":"closed","file_size":1615167,"date_updated":"2024-09-05T12:04:11Z"},{"relation":"main_file","checksum":"a9dd1c2d23734986924eb44ebb55fd8f","access_level":"open_access","file_size":2376611,"date_updated":"2024-09-06T16:24:59Z","file_id":"17880","creator":"efrantar","success":1,"date_created":"2024-09-06T16:24:59Z","content_type":"application/pdf","file_name":"frantar_thesis_final.pdf"}],"corr_author":"1","ddc":["000"],"has_accepted_license":"1","date_created":"2024-09-02T11:01:48Z","year":"2024","doi":"10.15479/at:ista:17485","publication_identifier":{"issn":["2663-337X"]},"file_date_updated":"2024-09-06T16:24:59Z","oa":1,"date_updated":"2026-07-29T13:48:40Z","publisher":"Institute of Science and Technology Austria","department":[{"_id":"GradSch"},{"_id":"DaAl"}],"date_published":"2024-09-05T00:00:00Z","month":"09","language":[{"iso":"eng"}],"type":"dissertation","oa_version":"Published Version","_id":"17485","project":[{"name":"Elastic Coordination for Scalable Machine Learning","call_identifier":"H2020","grant_number":"805223","_id":"268A44D6-B435-11E9-9278-68D0E5697425"}],"citation":{"ama":"Frantar E. Compressing large neural networks: Algorithms, systems and scaling laws. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:17485\">10.15479/at:ista:17485</a>","ista":"Frantar E. 2024. Compressing large neural networks: Algorithms, systems and scaling laws. Institute of Science and Technology Austria.","ieee":"E. Frantar, “Compressing large neural networks: Algorithms, systems and scaling laws,” Institute of Science and Technology Austria, 2024.","short":"E. Frantar, Compressing Large Neural Networks: Algorithms, Systems and Scaling Laws, Institute of Science and Technology Austria, 2024.","mla":"Frantar, Elias. <i>Compressing Large Neural Networks: Algorithms, Systems and Scaling Laws</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:17485\">10.15479/at:ista:17485</a>.","chicago":"Frantar, Elias. “Compressing Large Neural Networks: Algorithms, Systems and Scaling Laws.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:17485\">https://doi.org/10.15479/at:ista:17485</a>.","apa":"Frantar, E. (2024). <i>Compressing large neural networks: Algorithms, systems and scaling laws</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:17485\">https://doi.org/10.15479/at:ista:17485</a>"},"ec_funded":1,"day":"05","status":"public","alternative_title":["ISTA Thesis"]},{"arxiv":1,"department":[{"_id":"DaAl"}],"date_updated":"2026-07-29T13:48:40Z","month":"01","title":"Scaling laws for sparsely-connected foundation models","language":[{"iso":"eng"}],"date_published":"2024-01-16T00:00:00Z","abstract":[{"text":"We explore the impact of parameter sparsity on the scaling behavior of Transformers trained on massive datasets (i.e., \"foundation models\"), in both vision and language domains. In this setting, we identify the first scaling law describing the relationship between weight sparsity, number of non-zero parameters, and amount of training data, which we validate empirically across model and data scales; on ViT/JFT-4B and T5/C4. These results allow us to characterize the \"optimal sparsity\", the sparsity level which yields the best performance for a given effective model size and training budget. For a fixed number of non-zero parameters, we identify that the optimal sparsity increases with the amount of data used for training. We also extend our study to different sparsity structures (such as the hardware-friendly n:m pattern) and strategies (such as starting from a pretrained dense model). Our findings shed light on the power and limitations of weight sparsity across various parameter and computational settings, offering both theoretical understanding and practical implications for leveraging sparsity towards computational efficiency improvements. We provide pruning and scaling law fitting code at: github.com/google-research/jaxpruner/tree/main/jaxpruner/projects/bigsparse.","lang":"eng"}],"oa":1,"publication_status":"published","external_id":{"arxiv":["2309.08520"]},"article_processing_charge":"No","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"17485"}]},"_id":"18062","scopus_import":"1","type":"conference","author":[{"full_name":"Frantar, Elias","id":"09a8f98d-ec99-11ea-ae11-c063a7b7fe5f","last_name":"Frantar","first_name":"Elias"},{"full_name":"Ruiz, Carlos Riquelme","last_name":"Ruiz","first_name":"Carlos Riquelme"},{"full_name":"Houlsby, Neil","last_name":"Houlsby","first_name":"Neil"},{"orcid":"0000-0003-3650-940X","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","full_name":"Alistarh, Dan-Adrian","first_name":"Dan-Adrian","last_name":"Alistarh"},{"first_name":"Utku","last_name":"Evci","full_name":"Evci, Utku"}],"oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","conference":{"name":"ICLR: International Conference on Learning Representations","start_date":"2024-05-07","location":"Vienna, Austria","end_date":"2024-05-07"},"ddc":["000"],"main_file_link":[{"open_access":"1","url":"https://openreview.net/forum?id=i9K2ZWkYIP"}],"quality_controlled":"1","corr_author":"1","citation":{"ama":"Frantar E, Ruiz CR, Houlsby N, Alistarh D-A, Evci U. Scaling laws for sparsely-connected foundation models. In: <i>The Twelfth International Conference on Learning Representations</i>. ; 2024.","ista":"Frantar E, Ruiz CR, Houlsby N, Alistarh D-A, Evci U. 2024. Scaling laws for sparsely-connected foundation models. The Twelfth International Conference on Learning Representations. ICLR: International Conference on Learning Representations.","short":"E. Frantar, C.R. Ruiz, N. Houlsby, D.-A. Alistarh, U. Evci, in:, The Twelfth International Conference on Learning Representations, 2024.","ieee":"E. Frantar, C. R. Ruiz, N. Houlsby, D.-A. Alistarh, and U. Evci, “Scaling laws for sparsely-connected foundation models,” in <i>The Twelfth International Conference on Learning Representations</i>, Vienna, Austria, 2024.","mla":"Frantar, Elias, et al. “Scaling Laws for Sparsely-Connected Foundation Models.” <i>The Twelfth International Conference on Learning Representations</i>, 2024.","apa":"Frantar, E., Ruiz, C. R., Houlsby, N., Alistarh, D.-A., &#38; Evci, U. (2024). Scaling laws for sparsely-connected foundation models. In <i>The Twelfth International Conference on Learning Representations</i>. Vienna, Austria.","chicago":"Frantar, Elias, Carlos Riquelme Ruiz, Neil Houlsby, Dan-Adrian Alistarh, and Utku Evci. “Scaling Laws for Sparsely-Connected Foundation Models.” In <i>The Twelfth International Conference on Learning Representations</i>, 2024."},"day":"16","publication":"The Twelfth International Conference on Learning Representations","status":"public","year":"2024","date_created":"2024-09-13T10:31:08Z"},{"date_created":"2024-09-13T10:01:38Z","year":"2024","das_tickbox":"1","day":"01","status":"public","publication":"Proceedings of Machine Learning and Systems","citation":{"ieee":"E. Frantar and D.-A. Alistarh, “QMoE: Sub-1-bit compression of trillion parameter models,” in <i>Proceedings of Machine Learning and Systems</i>, Santa Clara, CA, United States, 2024, vol. 6.","short":"E. Frantar, D.-A. Alistarh, in:, Proceedings of Machine Learning and Systems, 2024.","ista":"Frantar E, Alistarh D-A. 2024. QMoE: Sub-1-bit compression of trillion parameter models. Proceedings of Machine Learning and Systems. MLSys: Machine Learning and Systems vol. 6.","ama":"Frantar E, Alistarh D-A. QMoE: Sub-1-bit compression of trillion parameter models. In: <i>Proceedings of Machine Learning and Systems</i>. Vol 6. ; 2024.","apa":"Frantar, E., &#38; Alistarh, D.-A. (2024). QMoE: Sub-1-bit compression of trillion parameter models. In <i>Proceedings of Machine Learning and Systems</i> (Vol. 6). Santa Clara, CA, United States.","chicago":"Frantar, Elias, and Dan-Adrian Alistarh. “QMoE: Sub-1-Bit Compression of Trillion Parameter Models.” In <i>Proceedings of Machine Learning and Systems</i>, Vol. 6, 2024.","mla":"Frantar, Elias, and Dan-Adrian Alistarh. “QMoE: Sub-1-Bit Compression of Trillion Parameter Models.” <i>Proceedings of Machine Learning and Systems</i>, vol. 6, 2024."},"corr_author":"1","quality_controlled":"1","main_file_link":[{"url":"https://proceedings.mlsys.org/paper_files/paper/2024/hash/c74b624843218d9b6713fcf299d6d5e4-Abstract-Conference.html","open_access":"1"}],"conference":{"location":"Santa Clara, CA, United States","end_date":"2024-05-16","name":"MLSys: Machine Learning and Systems","start_date":"2024-05-13"},"ddc":["000"],"intvolume":"         6","oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Frantar","first_name":"Elias","id":"09a8f98d-ec99-11ea-ae11-c063a7b7fe5f","full_name":"Frantar, Elias"},{"last_name":"Alistarh","first_name":"Dan-Adrian","full_name":"Alistarh, Dan-Adrian","orcid":"0000-0003-3650-940X","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87"}],"volume":6,"type":"conference","related_material":{"record":[{"status":"public","id":"17485","relation":"dissertation_contains"}]},"_id":"18061","article_processing_charge":"No","publication_status":"published","oa":1,"abstract":[{"text":"Mixture-of-Experts (MoE) architectures offer a general solution to the high inference costs of large language models (LLMs) via sparse routing, bringing faster and more accurate models, at the cost of massive parameter counts. For example, the SwitchTransformer-c2048 model has 1.6 trillion parameters, requiring 3.2TB of accelerator memory to run efficiently, which makes practical deployment challenging and expensive. In this paper, we present a solution to this memory problem, in form of a new compression and execution framework called QMoE. Specifically, QMoE consists of a scalable algorithm which accurately compresses trillion-parameter MoEs to less than 1 bit per parameter, in a custom format co-designed with bespoke GPU decoding kernels to facilitate efficient end-to-end compressed inference, with minor runtime overheads relative to uncompressed execution. Concretely, QMoE can compress the 1.6 trillion parameter SwitchTransformer-c2048 model to less than 160GB (20x compression, 0.8 bits per parameter) at only minor accuracy loss, in less than a day on a single GPU. This enables, for the first time, the execution of a trillion-parameter model on affordable commodity hardware, like a single server with 4x NVIDIA A6000 or 8x NVIDIA 3090 GPUs, at less than 5% runtime overhead relative to ideal uncompressed inference. The anonymized code is available at: github.com/mlsys24-qmoe/qmoe.","lang":"eng"}],"date_published":"2024-05-01T00:00:00Z","title":"QMoE: Sub-1-bit compression of trillion parameter models","month":"05","language":[{"iso":"eng"}],"date_updated":"2026-07-29T13:48:40Z","department":[{"_id":"DaAl"}]},{"publication_status":"published","abstract":[{"text":"In this thesis, we are dealing with both arithmetic and geometric problems coming from the\r\nstudy of rational points with a particular focus on function fields over finite fields:\r\n(1) Using the circle method we produce upper bounds for the number of rational points of\r\nbounded height on diagonal cubic surfaces and fourfolds over Fq(t). This is based on\r\njoint work with Leonhard Hochfilzer.\r\n(2) We study rational points on smooth complete intersections X defined by cubic and\r\nquadratic hypersurfaces over Fq(t). We refine the Farey dissection of the “unit square”\r\ndeveloped by Vishe [202] and use the circle method with a Kloosterman refinement to\r\nestablish an asymptotic formula for the number of rational points of bounded height on\r\nX when dim(X) ≥ 23. Under the same hypotheses, we also verify weak approximation.\r\n(3) In joint work with Hochfilzer, we obtain upper bounds for the number of rational points of\r\nbounded height on del Pezzo surfaces of low degree over any global field. Our approach\r\nis to take hyperplane sections, which reduces the problem to uniform estimates for the\r\nnumber of rational points on curves.\r\n(4) We develop a version of the circle method capable of counting Fq-points on jet schemes\r\nof moduli spaces of rational curves on hypersurfaces. Combining this with a spreading\r\nout argument and a result of Mustaţă [150], this allows us to show that these moduli\r\nspaces only have canonical singularities under suitable assumptions on the degree and the\r\ndimension.\r\nIn addition, we give an overview of guiding questions and conjectures in the field of rational\r\npoints and explain the basic mechanism underlying the circle method.\r\n","lang":"eng"}],"article_processing_charge":"No","page":"195","supervisor":[{"last_name":"Browning","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D"}],"doi_confirm":"1","title":"Counting rational points over function fields","degree_awarded":"PhD","OA_place":"publisher","author":[{"full_name":"Glas, Jakob","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","last_name":"Glas","first_name":"Jakob"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","related_material":{"record":[{"relation":"part_of_dissertation","id":"18173","status":"public"},{"status":"public","id":"18295","relation":"part_of_dissertation"},{"id":"18294","relation":"part_of_dissertation","status":"public"},{"id":"18293","relation":"part_of_dissertation","status":"public"}]},"file":[{"access_level":"closed","checksum":"2f8cf5cefdab108b1979caa8146cae9a","relation":"source_file","file_size":5382106,"date_updated":"2024-09-23T18:49:22Z","file_id":"18133","creator":"jglas","date_created":"2024-09-23T18:49:22Z","file_name":"PhDthesis (3).zip","content_type":"application/x-zip-compressed"},{"file_id":"18140","file_size":2380127,"date_updated":"2024-09-25T14:08:57Z","relation":"main_file","checksum":"08bb6f14c42b47ff25882a2ce3ea0d8a","access_level":"open_access","file_name":"example-phd.pdf","content_type":"application/pdf","date_created":"2024-09-25T14:08:57Z","creator":"jglas","success":1}],"supplementarymaterial":"no","corr_author":"1","ddc":["512"],"has_accepted_license":"1","researchdata_availability":"no","date_created":"2024-09-23T18:58:08Z","year":"2024","das_tickbox":"0","doi":"10.15479/at:ista:18132","publication_identifier":{"issn":["2663-337X"]},"file_date_updated":"2024-09-25T14:08:57Z","oa":1,"date_updated":"2026-08-06T10:33:33Z","publisher":"Institute of Science and Technology Austria","department":[{"_id":"GradSch"},{"_id":"TiBr"}],"date_published":"2024-09-23T00:00:00Z","language":[{"iso":"eng"}],"month":"09","type":"dissertation","oa_version":"Published Version","_id":"18132","project":[{"name":"Rational curves via function field analytic number theory","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","grant_number":"P36278"}],"citation":{"ista":"Glas J. 2024. Counting rational points over function fields. Institute of Science and Technology Austria.","ama":"Glas J. Counting rational points over function fields. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:18132\">10.15479/at:ista:18132</a>","ieee":"J. Glas, “Counting rational points over function fields,” Institute of Science and Technology Austria, 2024.","short":"J. Glas, Counting Rational Points over Function Fields, Institute of Science and Technology Austria, 2024.","mla":"Glas, Jakob. <i>Counting Rational Points over Function Fields</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:18132\">10.15479/at:ista:18132</a>.","apa":"Glas, J. (2024). <i>Counting rational points over function fields</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:18132\">https://doi.org/10.15479/at:ista:18132</a>","chicago":"Glas, Jakob. “Counting Rational Points over Function Fields.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:18132\">https://doi.org/10.15479/at:ista:18132</a>."},"tmp":{"short":"CC BY-NC (4.0)","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","image":"/images/cc_by_nc.png","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode"},"day":"23","status":"public","alternative_title":["ISTA Thesis"]},{"volume":15,"OA_place":"publisher","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Zezhu","last_name":"Zeng","full_name":"Zeng, Zezhu","orcid":"0000-0001-5126-4928","id":"54a2c730-803f-11ed-ab7e-95b29d2680e7"},{"last_name":"Shen","first_name":"Xingchen","full_name":"Shen, Xingchen"},{"last_name":"Cheng","first_name":"Ruihuan","full_name":"Cheng, Ruihuan"},{"last_name":"Perez","first_name":"Olivier","full_name":"Perez, Olivier"},{"first_name":"Niuchang","last_name":"Ouyang","full_name":"Ouyang, Niuchang"},{"full_name":"Fan, Zheyong","first_name":"Zheyong","last_name":"Fan"},{"first_name":"Pierric","last_name":"Lemoine","full_name":"Lemoine, Pierric"},{"full_name":"Raveau, Bernard","first_name":"Bernard","last_name":"Raveau"},{"last_name":"Guilmeau","first_name":"Emmanuel","full_name":"Guilmeau, Emmanuel"},{"last_name":"Chen","first_name":"Yue","full_name":"Chen, Yue"}],"pmid":1,"publication_status":"published","external_id":{"isi":["001198902100029"],"pmid":["38589376"],"arxiv":["2310.01838"]},"abstract":[{"text":"Materials with low thermal conductivity usually have complex crystal structures. Herein we experimentally find that a simple crystal structure material AgTlI2 (I4/mcm) owns an extremely low thermal conductivity of 0.25 W/mK at room temperature. To understand this anomaly, we perform in-depth theoretical studies based on ab initio molecular dynamics simulations and anharmonic lattice dynamics. We find that the unique atomic arrangement and weak chemical bonding provide a permissive environment for strong oscillations of Ag atoms, leading to a considerable rattling behaviour and giant lattice anharmonicity. This feature is also verified by the experimental probability density function refinement of single-crystal diffraction. The particularly strong anharmonicity breaks down the conventional phonon gas model, giving rise to non-negligible wavelike phonon behaviours in AgTlI2 at 300 K. Intriguingly, unlike many strongly anharmonic materials where a small propagative thermal conductivity is often accompanied by a large diffusive thermal conductivity, we find an unusual coexistence of ultralow propagative and diffusive thermal conductivities in AgTlI2 based on the thermal transport unified theory. This study underscores the potential of simple crystal structures in achieving low thermal conductivity and encourages further experimental research to enrich the family of materials with ultralow thermal conductivity.","lang":"eng"}],"article_processing_charge":"Yes","title":"Pushing thermal conductivity to its lower limit in crystals with simple structures","article_number":"3007","researchdata_availability":"no","date_created":"2024-04-14T22:01:00Z","year":"2024","das_tickbox":"1","publication":"Nature Communications","publication_identifier":{"eissn":["2041-1723"]},"doi":"10.1038/s41467-024-46799-3","dataavailabilitystatement":"All necessary source data files generated for this study are available in the SI repository https://github.com/ZengZezhu/Thermal-conductivity-AgTlI2 see ref 72.\r\n72. Zeng, Z. et al. Source data for pushing thermal conductivity to its lower limit in crystals with simple structures. Zenodo (2024).","file":[{"checksum":"f81bd6ba42f740d060fb446eeebc1035","relation":"main_file","access_level":"open_access","file_size":3049375,"date_updated":"2024-04-26T10:34:07Z","file_id":"15346","creator":"cchlebak","success":1,"date_created":"2024-04-26T10:34:07Z","content_type":"application/pdf","file_name":"2024_NatComm_Zeng.pdf"}],"quality_controlled":"1","supplementarymaterial":"no","corr_author":"1","ddc":["530"],"has_accepted_license":"1","acknowledgement":"We thank Bingqing Cheng (IST Austria) and Terumasa Tadano (NIMS\r\nJapan) for reading the manuscript and providing insightful comments.\r\nThis work is supported by the Research Grants Council of Hong Kong\r\n(C7002-22Y and 17318122). ZZ acknowledges the European Union’s\r\nHorizon 2020 research and innovation programme under the Marie\r\nSkłodowska-Curie grant agreement No. 101034413. XS acknowledges\r\nfunding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement\r\nNo. 101034329, and the WINNING Normandy Programme supported by\r\nthe Normandy Region. The computations were performed using\r\nresearch computing facilities offered by Information Technology Services, at the University of Hong Kong.","type":"journal_article","oa_version":"Published Version","intvolume":"        15","article_type":"original","scopus_import":"1","_id":"15311","file_date_updated":"2024-04-26T10:34:07Z","DOAJ_listed":"1","oa":1,"isi":1,"date_updated":"2026-08-07T10:33:08Z","arxiv":1,"publisher":"Springer Nature","department":[{"_id":"BiCh"}],"date_published":"2024-04-08T00:00:00Z","month":"04","language":[{"iso":"eng"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ec_funded":1,"OA_type":"gold","status":"public","day":"08","project":[{"grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020"}],"citation":{"mla":"Zeng, Zezhu, et al. “Pushing Thermal Conductivity to Its Lower Limit in Crystals with Simple Structures.” <i>Nature Communications</i>, vol. 15, 3007, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1038/s41467-024-46799-3\">10.1038/s41467-024-46799-3</a>.","apa":"Zeng, Z., Shen, X., Cheng, R., Perez, O., Ouyang, N., Fan, Z., … Chen, Y. (2024). Pushing thermal conductivity to its lower limit in crystals with simple structures. <i>Nature Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41467-024-46799-3\">https://doi.org/10.1038/s41467-024-46799-3</a>","chicago":"Zeng, Zezhu, Xingchen Shen, Ruihuan Cheng, Olivier Perez, Niuchang Ouyang, Zheyong Fan, Pierric Lemoine, Bernard Raveau, Emmanuel Guilmeau, and Yue Chen. “Pushing Thermal Conductivity to Its Lower Limit in Crystals with Simple Structures.” <i>Nature Communications</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1038/s41467-024-46799-3\">https://doi.org/10.1038/s41467-024-46799-3</a>.","ista":"Zeng Z, Shen X, Cheng R, Perez O, Ouyang N, Fan Z, Lemoine P, Raveau B, Guilmeau E, Chen Y. 2024. Pushing thermal conductivity to its lower limit in crystals with simple structures. Nature Communications. 15, 3007.","ama":"Zeng Z, Shen X, Cheng R, et al. Pushing thermal conductivity to its lower limit in crystals with simple structures. <i>Nature Communications</i>. 2024;15. doi:<a href=\"https://doi.org/10.1038/s41467-024-46799-3\">10.1038/s41467-024-46799-3</a>","short":"Z. Zeng, X. Shen, R. Cheng, O. Perez, N. Ouyang, Z. Fan, P. Lemoine, B. Raveau, E. Guilmeau, Y. Chen, Nature Communications 15 (2024).","ieee":"Z. Zeng <i>et al.</i>, “Pushing thermal conductivity to its lower limit in crystals with simple structures,” <i>Nature Communications</i>, vol. 15. Springer Nature, 2024."}},{"day":"14","status":"public","ec_funded":1,"project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program"}],"citation":{"mla":"Cheng, Ruihuan, et al. “Impact of Strain-Insensitive Low-Frequency Phonon Modes on Lattice Thermal Transport in AxXB6-Type Perovskites.” <i>Physical Review B</i>, vol. 109, no. 5, 054305, American Physical Society, 2024, doi:<a href=\"https://doi.org/10.1103/physrevb.109.054305\">10.1103/physrevb.109.054305</a>.","apa":"Cheng, R., Zeng, Z., Wang, C., Ouyang, N., &#38; Chen, Y. (2024). Impact of strain-insensitive low-frequency phonon modes on lattice thermal transport in AxXB6-type perovskites. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.109.054305\">https://doi.org/10.1103/physrevb.109.054305</a>","chicago":"Cheng, Ruihuan, Zezhu Zeng, Chen Wang, Niuchang Ouyang, and Yue Chen. “Impact of Strain-Insensitive Low-Frequency Phonon Modes on Lattice Thermal Transport in AxXB6-Type Perovskites.” <i>Physical Review B</i>. American Physical Society, 2024. <a href=\"https://doi.org/10.1103/physrevb.109.054305\">https://doi.org/10.1103/physrevb.109.054305</a>.","ista":"Cheng R, Zeng Z, Wang C, Ouyang N, Chen Y. 2024. Impact of strain-insensitive low-frequency phonon modes on lattice thermal transport in AxXB6-type perovskites. Physical Review B. 109(5), 054305.","ama":"Cheng R, Zeng Z, Wang C, Ouyang N, Chen Y. Impact of strain-insensitive low-frequency phonon modes on lattice thermal transport in AxXB6-type perovskites. <i>Physical Review B</i>. 2024;109(5). doi:<a href=\"https://doi.org/10.1103/physrevb.109.054305\">10.1103/physrevb.109.054305</a>","ieee":"R. Cheng, Z. Zeng, C. Wang, N. Ouyang, and Y. Chen, “Impact of strain-insensitive low-frequency phonon modes on lattice thermal transport in AxXB6-type perovskites,” <i>Physical Review B</i>, vol. 109, no. 5. American Physical Society, 2024.","short":"R. Cheng, Z. Zeng, C. Wang, N. Ouyang, Y. Chen, Physical Review B 109 (2024)."},"_id":"15052","scopus_import":"1","type":"journal_article","acknowledgement":"This work is supported by the Research Grants Council of Hong Kong (C7002-22Y and 17318122). The authors are grateful for the research computing facilities offered by\r\nITS, HKU. Z.Z. acknowledges the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413.","article_type":"original","intvolume":"       109","oa_version":"None","department":[{"_id":"BiCh"}],"publisher":"American Physical Society","date_updated":"2026-08-07T10:30:33Z","month":"02","language":[{"iso":"eng"}],"date_published":"2024-02-14T00:00:00Z","isi":1,"publication":"Physical Review B","das_tickbox":"0","issue":"5","doi":"10.1103/physrevb.109.054305","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"researchdata_availability":"no","article_number":"054305","year":"2024","date_created":"2024-03-04T07:41:23Z","quality_controlled":"1","supplementarymaterial":"yes","volume":109,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Ruihuan","last_name":"Cheng","full_name":"Cheng, Ruihuan"},{"full_name":"Zeng, Zezhu","id":"54a2c730-803f-11ed-ab7e-95b29d2680e7","orcid":"0000-0001-5126-4928","first_name":"Zezhu","last_name":"Zeng"},{"first_name":"Chen","last_name":"Wang","full_name":"Wang, Chen"},{"full_name":"Ouyang, Niuchang","last_name":"Ouyang","first_name":"Niuchang"},{"full_name":"Chen, Yue","last_name":"Chen","first_name":"Yue"}],"title":"Impact of strain-insensitive low-frequency phonon modes on lattice thermal transport in AxXB6-type perovskites","abstract":[{"text":"Substrate induces mechanical strain on perovskite devices, which can result in alterations to its lattice dynamics and thermal transport. Herein, we have performed a theoretical investigation on the anharmonic lattice dynamics and thermal property of perovskite Rb2SnBr6 and Cs2SnBr6 under strains using perturbation theory up to the fourth-order terms and the unified thermal transport theory. We demonstrate a pronounced hardening of low-frequency optical phonons as temperature increases, indicating strong lattice anharmonicity and the necessity of adopting temperature-dependent interatomic force constants in the lattice thermal conductivity (\r\nκL) calculations. It is found that the low-lying optical phonon modes of Rb2SnBr6 are extremely soft and their phonon energies are almost strain independent, which ultimately lead to a lower \r\nκL and a weaker strain dependence than Cs2SnBr6. We further reveal that the strain dependence of these phonon modes in the A2XB6-type perovskites weakens as their ibrational frequency decreases. This study deepens the understanding of lattice thermal transport in perovskites A2XB6 and provides a perspective on the selection of materials that meet the expected thermal behaviors in practical applications.","lang":"eng"}],"external_id":{"isi":["001198615900003"]},"publication_status":"published","article_processing_charge":"No"}]
