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Wiley, 2026. https://doi.org/10.1002/cpa.70039.","short":"R.L. Frank, M. Lewin, R. Seiringer, Communications on Pure and Applied Mathematics (2026).","mla":"Frank, Rupert L., et al. “Liquid Drop Model for Nuclear Matter in the Low Density Limit.” Communications on Pure and Applied Mathematics, Wiley, 2026, doi:10.1002/cpa.70039."},"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1097-0312"],"issn":["0010-3640"]},"abstract":[{"text":"We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the dilute limit. Our proof justifies the expectation that optimal configurations consist of droplets of unit size that arrange themselves according to minimizers for the Jellium problem for point particles. In particular, we provide the first rigorous derivation of what is known as the gnocchi phase in astrophysics.","lang":"eng"}],"date_updated":"2026-06-02T06:58:54Z","publisher":"Wiley","day":"01","_id":"21933","date_created":"2026-05-31T22:02:13Z","oa":1,"status":"public","article_processing_charge":"No","scopus_import":"1","type":"journal_article","date_published":"2026-01-01T00:00:00Z","publication":"Communications on Pure and Applied Mathematics","OA_place":"repository","title":"Liquid drop model for nuclear matter in the low density limit","OA_type":"green","author":[{"full_name":"Frank, Rupert L.","first_name":"Rupert L.","last_name":"Frank"},{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"arxiv":1,"external_id":{"arxiv":["2507.14012"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2507.14012"}],"publication_status":"epub_ahead","oa_version":"Preprint","department":[{"_id":"RoSe"}],"article_type":"original","year":"2026","month":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"month":"06","PlanS_conform":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","year":"2026","article_type":"original","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"dataavailabilitystatement":"Data sharing is not applicable to this article as no new data were created or analyzed in this study.","department":[{"_id":"LaEr"},{"_id":"RoSe"}],"oa_version":"Published Version","publication_status":"epub_ahead","supplementarymaterial":"not applicable","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331"},{"grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"arxiv":1,"author":[{"orcid":"0000-0003-1106-327X","last_name":"Henheik","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha"},{"last_name":"Langmann","full_name":"Langmann, Edwin","first_name":"Edwin"},{"last_name":"Lauritsen","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s00023-026-01706-y"}],"external_id":{"arxiv":["2409.17297"]},"OA_type":"hybrid","OA_place":"publisher","ddc":["500"],"has_accepted_license":"1","title":"Multi-band superconductors have enhanced critical temperatures","das_tickbox":"1","date_published":"2026-06-29T00:00:00Z","ec_funded":1,"publication":"Annales Henri Poincaré","researchdata_availability":"not applicable","scopus_import":"1","related_material":{"record":[{"id":"19550","relation":"earlier_version","status":"public"}]},"type":"journal_article","article_processing_charge":"Yes (via OA deal)","status":"public","acknowledgement":"We would like to thank J. Lenells and R. Seiringer for their interest and helpful discussions, E. Babaev and Y. Yerin for useful comments about the literature, and the anonymous referee for their comments. J.H. gratefully acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond” No. 101020331 and the ERC Consollidator Grant “ProbQuant” (jointly with the Swiss State Secretariat for Education, Research and Innovation). E.L. gratefully acknowledges support from the Swedish Research Council, Grant No. 2023-04726. A.B.L. gratefully acknowledges partial financial support by the Austrian Science Fund (FWF) through grant DOI: 10.55776/I6427 (as part of the SFB/TRR 352) and by the French State support managed by ANR under the France 2030 program through the MaQuI CNRS Risky and High-Impact Research programme (RI)^2 (grant agreement ANR-24-RRII-0001). Open access funding provided by Royal Institute of Technology.","_id":"22290","day":"29","publisher":"Springer Nature","date_created":"2026-07-13T09:42:22Z","oa":1,"publication_identifier":{"issn":["1424-0637"],"eissn":["1424-0661"]},"date_updated":"2026-07-13T11:34:08Z","abstract":[{"lang":"eng","text":"We introduce a multi-band BCS free energy functional and prove that for a multi-band superconductor the effect of inter-band coupling can only increase the critical temperature, irrespective of its attractive or repulsive nature and its strength. Further, for weak coupling and weaker inter-band coupling, we prove that the dependence of the increase in critical temperature on the inter-band coupling is (1) linear, if there are two or more equally strongly superconducting bands, or (2) quadratic, if there is only one dominating band."}],"doi":"10.1007/s00023-026-01706-y","citation":{"mla":"Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” Annales Henri Poincaré, Springer Nature, 2026, doi:10.1007/s00023-026-01706-y.","short":"S.J. Henheik, E. Langmann, A.B. Lauritsen, Annales Henri Poincaré (2026).","ista":"Henheik SJ, Langmann E, Lauritsen AB. 2026. Multi-band superconductors have enhanced critical temperatures. Annales Henri Poincaré.","ama":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. 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Seiringer, Journal of Mathematical Physics 67 (2026).","mla":"De Wilde, Michiel, and Robert Seiringer. “Arbitrary Harmonic Functions as Bose–Einstein Condensates.” Journal of Mathematical Physics, vol. 67, no. 6, 061901, AIP Publishing, 2026, doi:10.1063/5.0325354.","ieee":"M. De Wilde and R. Seiringer, “Arbitrary harmonic functions as Bose–Einstein condensates,” Journal of Mathematical Physics, vol. 67, no. 6. AIP Publishing, 2026.","ista":"De Wilde M, Seiringer R. 2026. Arbitrary harmonic functions as Bose–Einstein condensates. Journal of Mathematical Physics. 67(6), 061901.","ama":"De Wilde M, Seiringer R. Arbitrary harmonic functions as Bose–Einstein condensates. Journal of Mathematical Physics. 2026;67(6). doi:10.1063/5.0325354","chicago":"De Wilde, Michiel, and Robert Seiringer. “Arbitrary Harmonic Functions as Bose–Einstein Condensates.” Journal of Mathematical Physics. AIP Publishing, 2026. https://doi.org/10.1063/5.0325354.","apa":"De Wilde, M., & Seiringer, R. (2026). Arbitrary harmonic functions as Bose–Einstein condensates. Journal of Mathematical Physics. 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This work was partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via the TRR 352 – Project-ID 470903074. PTN was partially supported by the European Research Council via the ERC Consolidator Grant RAMBAS – Project-Nr. 10104424.\r\nOpen access publishing facilitated by Università degli Studi di Milano, as part of the Wiley - CRUI-CARE agreement.","oa":1,"date_created":"2026-03-22T23:04:33Z","_id":"21472","publisher":"Wiley","day":"01","date_updated":"2026-07-27T11:40:33Z","abstract":[{"text":"We study the ground state energy of a gas of spin 1/2 fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density e, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low-density expansion, and in particular the Huang–Yang correction term of order e^7/3. Our trial state is constructed using an adaptation of the bosonic Bogoliubov theory to the Fermi system, where the correlation structure of fermionic particles is incorporated by quasi-bosonic Bogoliubov transformations. In the latter, it is important to consider a modified zero-energy scattering equation that takes into account the presence of the Fermi sea, in the spirit of the Bethe–Goldstone equation.","lang":"eng"}],"publication_identifier":{"issn":["0010-3640"],"eissn":["1097-0312"]},"language":[{"iso":"eng"}],"volume":79,"file_date_updated":"2026-07-27T11:38:57Z","doi":"10.1002/cpa.70040","citation":{"ieee":"E. L. Giacomelli, C. Hainzl, P. T. Nam, and R. Seiringer, “The Huang–Yang formula for the low-density Fermi gas: Upper bound,” Communications on Pure and Applied Mathematics, vol. 79, no. 8. Wiley, pp. 1919–1972, 2026.","apa":"Giacomelli, E. L., Hainzl, C., Nam, P. T., & Seiringer, R. (2026). The Huang–Yang formula for the low-density Fermi gas: Upper bound. 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Seiringer, Communications on Pure and Applied Mathematics 79 (2026) 1919–1972.","mla":"Giacomelli, Emanuela L., et al. “The Huang–Yang Formula for the Low-Density Fermi Gas: Upper Bound.” Communications on Pure and Applied Mathematics, vol. 79, no. 8, Wiley, 2026, pp. 1919–72, doi:10.1002/cpa.70040."},"OA_type":"hybrid","title":"The Huang–Yang formula for the low-density Fermi gas: Upper bound","has_accepted_license":"1","OA_place":"publisher","ddc":["510"],"publication":"Communications on Pure and Applied Mathematics","das_tickbox":"0","date_published":"2026-08-01T00:00:00Z","type":"journal_article","researchdata_availability":"no","scopus_import":"1","file":[{"date_updated":"2026-07-27T11:38:57Z","content_type":"application/pdf","file_name":"2026_CommPureApplMath_Giacomelli.pdf","checksum":"4ef624157c2f6cb837be229dd6b912cc","date_created":"2026-07-27T11:38:57Z","file_id":"22423","access_level":"open_access","creator":"dernst","success":1,"relation":"main_file","file_size":2224756}],"oa_version":"Published Version","supplementarymaterial":"no","page":"1919-1972","publication_status":"published","intvolume":" 79","external_id":{"arxiv":["2409.17914"]},"arxiv":1,"author":[{"first_name":"Emanuela L.","full_name":"Giacomelli, Emanuela L.","last_name":"Giacomelli"},{"full_name":"Hainzl, Christian","first_name":"Christian","last_name":"Hainzl"},{"last_name":"Nam","first_name":"Phan Thành","full_name":"Nam, Phan Thành"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"issue":"8","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"08","year":"2026","quality_controlled":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_type":"original","department":[{"_id":"RoSe"}]},{"quality_controlled":"1","year":"2026","month":"08","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"4","dataavailabilitystatement":"Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.","department":[{"_id":"RoSe"},{"_id":"GradSch"}],"article_type":"original","article_number":"82","publication_status":"published","supplementarymaterial":"no","oa_version":"Preprint","author":[{"last_name":"Marcelli","first_name":"Giovanna","full_name":"Marcelli, Giovanna"},{"full_name":"Pigozzi, Lorenzo","id":"efb8f850-3208-11ee-ac71-8c4f5803b9c6","first_name":"Lorenzo","last_name":"Pigozzi"},{"first_name":"Marcello","full_name":"Porta, Marcello","last_name":"Porta"}],"arxiv":1,"external_id":{"arxiv":["2503.01381"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2503.01381"}],"intvolume":" 116","OA_place":"repository","mathsc":["81V70"],"title":"Longitudinal conductivity at integer quantum Hall transitions","OA_type":"green","researchdata_availability":"not applicable","scopus_import":"1","type":"journal_article","date_published":"2026-08-01T00:00:00Z","das_tickbox":"1","publication":"Letters in Mathematical Physics","publisher":"Springer Nature","day":"01","_id":"22404","date_created":"2026-07-26T22:01:40Z","oa":1,"acknowledgement":"G. M. and M. P. acknowledge support by the European Research Council through the ERC-StG MaMBoQ, n. 802901. G. M. acknowledges financial support from the Independent Research Fund Denmark–Natural Sciences, grant DFF–10.46540/2032-00005B and from the European Research Council through the ERC CoG UniCoSM, grant agreement n.724939. M. P. acknowledges support from the MUR, PRIN 2022 project MaIQuFi cod. 20223J85K3. This work has been carried out under the auspices of the GNFM of INdAM. We thank the anonymous referees for comments on a previous version of this manuscript.","status":"public","article_processing_charge":"No","citation":{"ieee":"G. Marcelli, L. Pigozzi, and M. Porta, “Longitudinal conductivity at integer quantum Hall transitions,” Letters in Mathematical Physics, vol. 116, no. 4. Springer Nature, 2026.","ama":"Marcelli G, Pigozzi L, Porta M. Longitudinal conductivity at integer quantum Hall transitions. Letters in Mathematical Physics. 2026;116(4). doi:10.1007/s11005-026-02087-3","ista":"Marcelli G, Pigozzi L, Porta M. 2026. Longitudinal conductivity at integer quantum Hall transitions. Letters in Mathematical Physics. 116(4), 82.","chicago":"Marcelli, Giovanna, Lorenzo Pigozzi, and Marcello Porta. “Longitudinal Conductivity at Integer Quantum Hall Transitions.” Letters in Mathematical Physics. Springer Nature, 2026. https://doi.org/10.1007/s11005-026-02087-3.","apa":"Marcelli, G., Pigozzi, L., & Porta, M. (2026). Longitudinal conductivity at integer quantum Hall transitions. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-026-02087-3","short":"G. Marcelli, L. Pigozzi, M. Porta, Letters in Mathematical Physics 116 (2026).","mla":"Marcelli, Giovanna, et al. “Longitudinal Conductivity at Integer Quantum Hall Transitions.” Letters in Mathematical Physics, vol. 116, no. 4, 82, Springer Nature, 2026, doi:10.1007/s11005-026-02087-3."},"doi":"10.1007/s11005-026-02087-3","volume":116,"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"abstract":[{"text":"We consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transitions between quantum Hall phases. We consider the longitudinal conductivity, as given by Kubo formula, describing the variation of the current after introducing a space-homogeneous electric field, in an adiabatic way. We obtain an explicit expression for the longitudinal conductivity, completely determined by the number of conical intersections and by the shape of the cones. In particular, the formula reproduces the known quantized values found for graphene and for the critical Haldane model. Furthermore, we discuss the validity of Kubo formula in presence of conical intersections in the spectrum, starting from the time-dependent Schrödinger equation. For electric fields which are weak and slowly varying in space and in time, we prove the validity of linear response from quantum dynamics.","lang":"eng"}],"date_updated":"2026-07-29T10:51:55Z"},{"date_created":"2026-08-03T13:21:14Z","oa":1,"corr_author":"1","_id":"22639","publisher":"Springer Nature","day":"17","article_processing_charge":"Yes (via OA deal)","status":"public","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).","volume":116,"language":[{"iso":"eng"}],"citation":{"mla":"Desio, Davide, and Robert Seiringer. “Dyson Expansion for Form-Bounded Perturbations and Applications to the Polaron Problem.” Letters in Mathematical Physics, vol. 116, no. 4, 87, Springer Nature, 2026, doi:10.1007/s11005-026-02107-2.","short":"D. Desio, R. Seiringer, Letters in Mathematical Physics 116 (2026).","apa":"Desio, D., & Seiringer, R. (2026). Dyson expansion for form-bounded perturbations and applications to the polaron problem. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-026-02107-2","chicago":"Desio, Davide, and Robert Seiringer. “Dyson Expansion for Form-Bounded Perturbations and Applications to the Polaron Problem.” Letters in Mathematical Physics. Springer Nature, 2026. https://doi.org/10.1007/s11005-026-02107-2.","ista":"Desio D, Seiringer R. 2026. Dyson expansion for form-bounded perturbations and applications to the polaron problem. Letters in Mathematical Physics. 116(4), 87.","ama":"Desio D, Seiringer R. Dyson expansion for form-bounded perturbations and applications to the polaron problem. Letters in Mathematical Physics. 2026;116(4). doi:10.1007/s11005-026-02107-2","ieee":"D. Desio and R. Seiringer, “Dyson expansion for form-bounded perturbations and applications to the polaron problem,” Letters in Mathematical Physics, vol. 116, no. 4. Springer Nature, 2026."},"file_date_updated":"2026-08-04T05:55:58Z","doi":"10.1007/s11005-026-02107-2","date_updated":"2026-08-04T05:57:21Z","abstract":[{"text":"We present an abstract Dyson expansion for perturbations that are merely relatively form-bounded, and apply it to the polaron problem. For a large class of polaron-type models, including the Fröhlich and Nelson models, we prove that the vacuum expectation value of the heat semi-group is a completely monotone function of the square of the total momentum. Consequently, the ground-state energy is a concave function of the square of the momentum, a result recently proved for the Fröhlich model in [14] using a probabilistic approach via Wiener integrals.","lang":"eng"}],"publication_identifier":{"issn":["1573-0530"]},"has_accepted_license":"1","title":"Dyson expansion for form-bounded perturbations and applications to the polaron problem","OA_place":"publisher","ddc":["510"],"OA_type":"hybrid","type":"journal_article","scopus_import":"1","researchdata_availability":"no","publication":"Letters in Mathematical Physics","das_tickbox":"0","date_published":"2026-07-17T00:00:00Z","supplementarymaterial":"no","publication_status":"published","file":[{"relation":"main_file","file_size":371840,"success":1,"creator":"dernst","file_id":"22641","access_level":"open_access","date_created":"2026-08-04T05:55:58Z","file_name":"2026_LettersMathPhysics_Desio.pdf","checksum":"1b90ff7da16b9604d6fe2c6281493456","content_type":"application/pdf","date_updated":"2026-08-04T05:55:58Z"}],"oa_version":"Published Version","external_id":{"arxiv":["2512.13443"]},"arxiv":1,"author":[{"last_name":"Desio","orcid":"0000-0001-9840-3809","full_name":"Desio, Davide","id":"ea10a57b-23f6-11ef-9085-80d8596d52ef","first_name":"Davide"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"intvolume":" 116","year":"2026","quality_controlled":"1","PlanS_conform":"1","issue":"4","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"07","department":[{"_id":"RoSe"},{"_id":"GradSch"}],"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_type":"original","article_number":"87"},{"publication_status":"published","oa_version":"Preprint","external_id":{"arxiv":["2506.02440 "]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2506.02440 "}],"author":[{"first_name":"J.","full_name":"Taylor, J.","last_name":"Taylor"},{"full_name":"Čufar, M.","first_name":"M.","last_name":"Čufar"},{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"},{"full_name":"Pahl, E.","first_name":"E.","last_name":"Pahl"},{"last_name":"Brand","first_name":"J.","full_name":"Brand, J."}],"arxiv":1,"intvolume":" 112","year":"2025","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"18","month":"11","department":[{"_id":"RoSe"}],"article_number":"184312","article_type":"original","oa":1,"date_created":"2026-02-17T07:56:20Z","publisher":"American Physical Society","day":"18","_id":"21270","status":"public","acknowledgement":"We are grateful to Dmytro Kolisnyk for his help in working out the spectrum of the Hessian. This work was supported by the Marsden Fund of New Zealand (Contract No. MAU2007) from government funding administered by the Royal Society Te Apārangi and by a summer scholarship from Te Whai Ao – Dodd-Walls Centre for Photonic and Quantum Technologies and the Physics Department, University of Auckland. We acknowledge support by the New Zealand eScience Infrastructure (NeSI) high-performance computing facilities in the form of a merit project allocation.","article_processing_charge":"No","language":[{"iso":"eng"}],"volume":112,"doi":"10.1103/s9p9-jflq","citation":{"ama":"Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. Bound excited states of Fröhlich polarons in one dimension. Physical Review B. 2025;112(18). doi:10.1103/s9p9-jflq","ista":"Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. 2025. Bound excited states of Fröhlich polarons in one dimension. Physical Review B. 112(18), 184312.","apa":"Taylor, J., Čufar, M., Mitrouskas, D. J., Seiringer, R., Pahl, E., & Brand, J. (2025). Bound excited states of Fröhlich polarons in one dimension. Physical Review B. American Physical Society. https://doi.org/10.1103/s9p9-jflq","chicago":"Taylor, J., M. Čufar, David Johannes Mitrouskas, Robert Seiringer, E. Pahl, and J. Brand. “Bound Excited States of Fröhlich Polarons in One Dimension.” Physical Review B. American Physical Society, 2025. https://doi.org/10.1103/s9p9-jflq.","ieee":"J. Taylor, M. Čufar, D. J. Mitrouskas, R. Seiringer, E. Pahl, and J. Brand, “Bound excited states of Fröhlich polarons in one dimension,” Physical Review B, vol. 112, no. 18. American Physical Society, 2025.","mla":"Taylor, J., et al. “Bound Excited States of Fröhlich Polarons in One Dimension.” Physical Review B, vol. 112, no. 18, 184312, American Physical Society, 2025, doi:10.1103/s9p9-jflq.","short":"J. Taylor, M. Čufar, D.J. Mitrouskas, R. Seiringer, E. Pahl, J. Brand, Physical Review B 112 (2025)."},"abstract":[{"lang":"eng","text":"The one-dimensional Fröhlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the existence of an arbitrarily large number of bound excited states in the strong-coupling limit and calculate their excitation energies. Numerical simulations of a discretized model demonstrate the complete amelioration of the projector Monte Carlo sign problem by walker annihilation in an infinite Hilbert space. They reveal the threshold for the occurrence of the first bound excited states at a value of 𝛼≈1.73 for the dimensionless coupling constant. This puts the threshold into the regime of intermediate interaction strength. We find a significant spectral weight and increased phonon number of the bound excited state at threshold."}],"date_updated":"2026-02-18T08:23:59Z","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"title":"Bound excited states of Fröhlich polarons in one dimension","OA_place":"repository","OA_type":"green","type":"journal_article","scopus_import":"1","publication":"Physical Review B","date_published":"2025-11-18T00:00:00Z"},{"article_type":"original","department":[{"_id":"RoSe"}],"month":"02","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"1","quality_controlled":"1","year":"2025","intvolume":" 6","author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris","full_name":"Brooks, Morris","last_name":"Brooks","orcid":"0000-0002-6249-0928"},{"last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes"}],"arxiv":1,"external_id":{"arxiv":["2306.16373"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.16373","open_access":"1"}],"oa_version":"Preprint","publication_status":"published","page":"281-325","date_published":"2025-02-23T00:00:00Z","publication":"Probability and Mathematical Physics","scopus_import":"1","type":"journal_article","OA_type":"green","OA_place":"repository","title":" Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling","publication_identifier":{"eissn":["2690-1005"],"issn":["2690-0998"]},"abstract":[{"lang":"eng","text":"We consider the confined Fröhlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the series are derived through a two-fold perturbation approach, involving expansions around the electron Pekar minimizer and the excitations of the quantum field."}],"date_updated":"2025-03-10T07:19:02Z","doi":"10.2140/pmp.2025.6.281","citation":{"ieee":"M. Brooks and D. J. Mitrouskas, “ Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling,” Probability and Mathematical Physics, vol. 6, no. 1. Mathematical Sciences Publishers, pp. 281–325, 2025.","chicago":"Brooks, Morris, and David Johannes Mitrouskas. “ Asymptotic Series for Low-Energy Excitations of the Fröhlich Polaron at Strong Coupling.” Probability and Mathematical Physics. Mathematical Sciences Publishers, 2025. https://doi.org/10.2140/pmp.2025.6.281.","apa":"Brooks, M., & Mitrouskas, D. J. (2025). Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. Mathematical Sciences Publishers. https://doi.org/10.2140/pmp.2025.6.281","ista":"Brooks M, Mitrouskas DJ. 2025. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 6(1), 281–325.","ama":"Brooks M, Mitrouskas DJ. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 2025;6(1):281-325. doi:10.2140/pmp.2025.6.281","short":"M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025) 281–325.","mla":"Brooks, Morris, and David Johannes Mitrouskas. “ Asymptotic Series for Low-Energy Excitations of the Fröhlich Polaron at Strong Coupling.” Probability and Mathematical Physics, vol. 6, no. 1, Mathematical Sciences Publishers, 2025, pp. 281–325, doi:10.2140/pmp.2025.6.281."},"volume":6,"language":[{"iso":"eng"}],"status":"public","acknowledgement":"M.B. gratefully acknowledges funding from the ERC Advanced Grant ERC-AdG CLaQS, grant agreement n. 83478.","article_processing_charge":"No","publisher":"Mathematical Sciences Publishers","day":"23","_id":"19372","corr_author":"1","date_created":"2025-03-09T23:01:28Z","oa":1},{"OA_type":"hybrid","OA_place":"publisher","ddc":["510"],"has_accepted_license":"1","title":"BCS critical temperature on half-spaces","date_published":"2025-04-01T00:00:00Z","publication":"Archive for Rational Mechanics and Analysis","scopus_import":"1","type":"journal_article","article_processing_charge":"Yes (via OA deal)","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Financial support by the Austrian Science Fund (FWF) through project number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.","status":"public","_id":"19403","day":"01","publisher":"Springer Nature","oa":1,"date_created":"2025-03-16T23:01:24Z","corr_author":"1","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"date_updated":"2025-09-30T11:01:08Z","abstract":[{"lang":"eng","text":"We study the BCS critical temperature on half-spaces in dimensions d =1, 2, 3 with Dirichlet or Neumann boundary conditions. We prove that the critical temperature on a half-space is strictly higher than on Rd, at least at weak coupling in d = 1, 2 and weak coupling and small chemical potential in d = 3. Furthermore, we show that the relative shift in critical temperature vanishes in the weak coupling limit."}],"citation":{"apa":"Roos, B., & Seiringer, R. (2025). BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02088-x","chicago":"Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.” Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02088-x.","ama":"Roos B, Seiringer R. BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. 2025;249. doi:10.1007/s00205-025-02088-x","ista":"Roos B, Seiringer R. 2025. BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. 249, 20.","ieee":"B. Roos and R. Seiringer, “BCS critical temperature on half-spaces,” Archive for Rational Mechanics and Analysis, vol. 249. Springer Nature, 2025.","mla":"Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.” Archive for Rational Mechanics and Analysis, vol. 249, 20, Springer Nature, 2025, doi:10.1007/s00205-025-02088-x.","short":"B. Roos, R. Seiringer, Archive for Rational Mechanics and Analysis 249 (2025)."},"file_date_updated":"2025-03-17T10:07:45Z","doi":"10.1007/s00205-025-02088-x","language":[{"iso":"eng"}],"volume":249,"month":"04","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","quality_controlled":"1","year":"2025","pmid":1,"article_number":"20","article_type":"original","isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"department":[{"_id":"RoSe"}],"oa_version":"Published Version","file":[{"success":1,"file_size":1224282,"relation":"main_file","file_id":"19412","access_level":"open_access","creator":"dernst","file_name":"2025_ArchiveRatMech_Roos.pdf","checksum":"66803fb63a57987eb4f13ee2949bea77","date_created":"2025-03-17T10:07:45Z","content_type":"application/pdf","date_updated":"2025-03-17T10:07:45Z"}],"publication_status":"published","project":[{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427"}],"intvolume":" 249","arxiv":1,"author":[{"orcid":"0000-0002-9071-5880","last_name":"Roos","full_name":"Roos, Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","first_name":"Barbara"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"external_id":{"arxiv":["2306.05824"],"pmid":["40041541"],"isi":["001435380100001"]}},{"arxiv":1,"author":[{"last_name":"Roos","orcid":"0000-0002-9071-5880","first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","full_name":"Roos, Barbara"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"arxiv":["2308.07115"],"isi":["001465985500001"]},"project":[{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427"}],"intvolume":" 13","publication_status":"published","oa_version":"Published Version","file":[{"success":1,"relation":"main_file","file_size":631645,"access_level":"open_access","file_id":"19651","creator":"dernst","checksum":"b0919b3a14f2cb39f8df0e3f41b8d6f1","file_name":"2025_ForumMathSigma_Roos.pdf","date_created":"2025-05-05T09:41:42Z","content_type":"application/pdf","date_updated":"2025-05-05T09:41:42Z"}],"department":[{"_id":"RoSe"}],"article_number":"e71","article_type":"original","isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"quality_controlled":"1","year":"2025","month":"04","PlanS_conform":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file_date_updated":"2025-05-05T09:41:42Z","doi":"10.1017/fms.2024.145","citation":{"ieee":"B. Roos and R. Seiringer, “Enhanced superconductivity at a corner for the linear BCS equation,” Forum of Mathematics, Sigma, vol. 13. Cambridge University Press, 2025.","ama":"Roos B, Seiringer R. Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. 2025;13. doi:10.1017/fms.2024.145","ista":"Roos B, Seiringer R. 2025. Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. 13, e71.","chicago":"Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” Forum of Mathematics, Sigma. Cambridge University Press, 2025. https://doi.org/10.1017/fms.2024.145.","apa":"Roos, B., & Seiringer, R. (2025). Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2024.145","short":"B. Roos, R. Seiringer, Forum of Mathematics, Sigma 13 (2025).","mla":"Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” Forum of Mathematics, Sigma, vol. 13, e71, Cambridge University Press, 2025, doi:10.1017/fms.2024.145."},"language":[{"iso":"eng"}],"volume":13,"publication_identifier":{"eissn":["2050-5094"]},"date_updated":"2025-09-30T12:20:22Z","abstract":[{"lang":"eng","text":"We consider the critical temperature for superconductivity, defined via the linear BCS equation. We prove that at weak coupling the critical temperature for a sample confined to a quadrant in two dimensions is strictly larger than the one for a half-space, which in turn is strictly larger than the one for R^2. Furthermore, we prove that the relative difference of the critical temperatures vanishes in the weak coupling limit."}],"_id":"19628","day":"14","publisher":"Cambridge University Press","oa":1,"date_created":"2025-04-27T22:02:14Z","corr_author":"1","article_processing_charge":"Yes","status":"public","scopus_import":"1","type":"journal_article","date_published":"2025-04-14T00:00:00Z","publication":"Forum of Mathematics, Sigma","OA_place":"publisher","ddc":["510"],"has_accepted_license":"1","title":"Enhanced superconductivity at a corner for the linear BCS equation","DOAJ_listed":"1","OA_type":"gold"},{"file":[{"date_created":"2025-05-05T11:38:34Z","checksum":"90031b93459af54a6e63ddf2818c6f42","file_name":"2025_RevistaMat_Gerhat.pdf","creator":"dernst","file_id":"19656","access_level":"open_access","file_size":555474,"relation":"main_file","success":1,"date_updated":"2025-05-05T11:38:34Z","content_type":"application/pdf"}],"oa_version":"Published Version","page":"1173-1200","publication_status":"published","intvolume":" 41","external_id":{"arxiv":["2307.09919"],"isi":["001476507600013"]},"author":[{"full_name":"Gerhát, Borbála M","id":"00ffceaa-f31d-11ee-93bd-f7e13e61af5e","first_name":"Borbála M","last_name":"Gerhát"},{"first_name":"David","full_name":"Krejčiřík, David","last_name":"Krejčiřík"},{"last_name":"Štampach","full_name":"Štampach, František","first_name":"František"}],"arxiv":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","issue":"3","month":"01","year":"2025","quality_controlled":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"isi":1,"article_type":"original","department":[{"_id":"RoSe"}],"status":"public","acknowledgement":"We are grateful to Petr Siegl for a helpful suggestion leading to Hardy weights with the expected optimal decay rate.\r\nThe authors acknowledge the support of the EXPRO grant no. 20-17749X of the Czech Science Foundation.\r\n","article_processing_charge":"Yes","corr_author":"1","date_created":"2025-05-04T22:02:32Z","oa":1,"publisher":"EMS Press","day":"23","_id":"19642","abstract":[{"text":"We study the criticality and subcriticality of powers (−Δ) α with α>0 of the discrete Laplacian −Δ acting on ℓ 2 (N). We prove that these positive powers of the Laplacian are critical if and only if α≥3/2. We complement our analysis with Hardy-type inequalities for (−Δ) α in the subcritical regimes α∈(0,3/2). As an illustration of the critical case α≥3/2, we analyze asymptotic properties of discrete eigenvalues emerging by coupling (−Δ) α with a localized potential.","lang":"eng"}],"date_updated":"2025-09-30T12:23:41Z","publication_identifier":{"issn":["0213-2230"],"eissn":["2235-0616"]},"volume":41,"language":[{"iso":"eng"}],"doi":"10.4171/RMI/1523","file_date_updated":"2025-05-05T11:38:34Z","citation":{"short":"B.M. Gerhát, D. Krejčiřík, F. Štampach, Revista Matematica Iberoamericana 41 (2025) 1173–1200.","mla":"Gerhát, Borbála M., et al. “Criticality Transition for Positive Powers of the Discrete Laplacian on the Half Line.” Revista Matematica Iberoamericana, vol. 41, no. 3, EMS Press, 2025, pp. 1173–200, doi:10.4171/RMI/1523.","ieee":"B. M. Gerhát, D. Krejčiřík, and F. Štampach, “Criticality transition for positive powers of the discrete Laplacian on the half line,” Revista Matematica Iberoamericana, vol. 41, no. 3. EMS Press, pp. 1173–1200, 2025.","apa":"Gerhát, B. M., Krejčiřík, D., & Štampach, F. (2025). Criticality transition for positive powers of the discrete Laplacian on the half line. Revista Matematica Iberoamericana. EMS Press. https://doi.org/10.4171/RMI/1523","chicago":"Gerhát, Borbála M, David Krejčiřík, and František Štampach. “Criticality Transition for Positive Powers of the Discrete Laplacian on the Half Line.” Revista Matematica Iberoamericana. EMS Press, 2025. https://doi.org/10.4171/RMI/1523.","ista":"Gerhát BM, Krejčiřík D, Štampach F. 2025. Criticality transition for positive powers of the discrete Laplacian on the half line. Revista Matematica Iberoamericana. 41(3), 1173–1200.","ama":"Gerhát BM, Krejčiřík D, Štampach F. Criticality transition for positive powers of the discrete Laplacian on the half line. Revista Matematica Iberoamericana. 2025;41(3):1173-1200. doi:10.4171/RMI/1523"},"OA_type":"gold","has_accepted_license":"1","DOAJ_listed":"1","title":"Criticality transition for positive powers of the discrete Laplacian on the half line","ddc":["510"],"OA_place":"publisher","publication":"Revista Matematica Iberoamericana","date_published":"2025-01-23T00:00:00Z","type":"journal_article","scopus_import":"1"},{"scopus_import":"1","type":"journal_article","date_published":"2025-06-01T00:00:00Z","publication":"Archive for Rational Mechanics and Analysis","OA_place":"publisher","ddc":["530"],"has_accepted_license":"1","title":"The weakly coupled two-dimensional Fermi polaron","OA_type":"hybrid","file_date_updated":"2025-05-12T07:27:28Z","citation":{"short":"D.J. Mitrouskas, Archive for Rational Mechanics and Analysis 249 (2025).","mla":"Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.” Archive for Rational Mechanics and Analysis, vol. 249, no. 3, 30, Springer Nature, 2025, doi:10.1007/s00205-025-02098-9.","ieee":"D. J. Mitrouskas, “The weakly coupled two-dimensional Fermi polaron,” Archive for Rational Mechanics and Analysis, vol. 249, no. 3. Springer Nature, 2025.","ama":"Mitrouskas DJ. The weakly coupled two-dimensional Fermi polaron. Archive for Rational Mechanics and Analysis. 2025;249(3). doi:10.1007/s00205-025-02098-9","ista":"Mitrouskas DJ. 2025. The weakly coupled two-dimensional Fermi polaron. Archive for Rational Mechanics and Analysis. 249(3), 30.","chicago":"Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.” Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02098-9.","apa":"Mitrouskas, D. J. (2025). The weakly coupled two-dimensional Fermi polaron. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02098-9"},"doi":"10.1007/s00205-025-02098-9","volume":249,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"date_updated":"2025-09-30T12:25:19Z","abstract":[{"text":"We analyze the ground state energy of N fermions in a two-dimensional box interacting with an impurity particle via two-body point interactions. We show that for weak coupling, the ground state energy is asymptotically described by the polaron energy, as proposed by F. Chevy in the physics literature. The polaron energy is the solution of a nonlinear equation involving the Green’s function of the free Fermi gas and the binding energy of the two-body point interaction. We provide quantitative error estimates that are uniform in the thermodynamic limit.","lang":"eng"}],"_id":"19660","day":"01","publisher":"Springer Nature","oa":1,"date_created":"2025-05-11T22:02:37Z","corr_author":"1","article_processing_charge":"Yes (via OA deal)","acknowledgement":"The author would like to thank Ulrich Linden for introducing him to the Fermi polaron and for his valuable contributions in the early stages of this project. Additionally, the author is grateful to Krzysztof Myśliwy for helpful comments. Open access funding provided by Institute of Science and Technology (IST Austria).","status":"public","department":[{"_id":"RoSe"}],"article_number":"30","article_type":"original","isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"quality_controlled":"1","year":"2025","month":"06","issue":"3","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas"}],"external_id":{"isi":["001482770500001"]},"intvolume":" 249","publication_status":"published","oa_version":"Published Version","file":[{"content_type":"application/pdf","date_updated":"2025-05-12T07:27:28Z","relation":"main_file","file_size":886318,"success":1,"creator":"dernst","access_level":"open_access","file_id":"19676","date_created":"2025-05-12T07:27:28Z","checksum":"3606ebd34d59d03f8c66a3a1794c3e4f","file_name":"2025_ArchiveRatioMechanics_Mitrouskas.pdf"}]},{"year":"2025","quality_controlled":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","issue":"17","month":"04","department":[{"_id":"RoSe"}],"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"isi":1,"article_type":"original","article_number":"175201","publication_status":"published","file":[{"date_created":"2025-05-12T07:13:07Z","checksum":"a181e1c2d8df08eb683a355e81c5e85a","file_name":"2025_JourPhysicsA_Cardenas.pdf","file_size":551190,"relation":"main_file","success":1,"creator":"dernst","file_id":"19675","access_level":"open_access","content_type":"application/pdf","date_updated":"2025-05-12T07:13:07Z"}],"oa_version":"Published Version","external_id":{"arxiv":["2412.01670"],"isi":["001474094200001"]},"author":[{"last_name":"Cárdenas","full_name":"Cárdenas, Esteban","first_name":"Esteban"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas"}],"arxiv":1,"intvolume":" 58","title":"The renormalized Nelson model in the weak coupling limit","has_accepted_license":"1","ddc":["530"],"OA_place":"publisher","OA_type":"hybrid","type":"journal_article","scopus_import":"1","publication":"Journal of Physics A: Mathematical and Theoretical","date_published":"2025-04-28T00:00:00Z","corr_author":"1","date_created":"2025-05-11T22:02:37Z","oa":1,"publisher":"IOP Publishing","day":"28","_id":"19661","acknowledgement":"D M thanks Nataˇsa Pavlovi´c for the invitation to the University of Texas at Austin and for the\r\nhospitality offered by the department, where part of this work was performed. E C gratefully\r\nacknowledges support from NSF under Grant Nos DMS-2009549 and DMS-2052789 through\r\nNataˇsa Pavlovi´","status":"public","article_processing_charge":"Yes (in subscription journal)","volume":58,"language":[{"iso":"eng"}],"doi":"10.1088/1751-8121/adcdd9","citation":{"ieee":"E. Cárdenas and D. J. Mitrouskas, “The renormalized Nelson model in the weak coupling limit,” Journal of Physics A: Mathematical and Theoretical, vol. 58, no. 17. IOP Publishing, 2025.","chicago":"Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing, 2025. https://doi.org/10.1088/1751-8121/adcdd9.","apa":"Cárdenas, E., & Mitrouskas, D. J. (2025). The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. IOP Publishing. https://doi.org/10.1088/1751-8121/adcdd9","ista":"Cárdenas E, Mitrouskas DJ. 2025. The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. 58(17), 175201.","ama":"Cárdenas E, Mitrouskas DJ. The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. 2025;58(17). doi:10.1088/1751-8121/adcdd9","short":"E. Cárdenas, D.J. Mitrouskas, Journal of Physics A: Mathematical and Theoretical 58 (2025).","mla":"Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical, vol. 58, no. 17, 175201, IOP Publishing, 2025, doi:10.1088/1751-8121/adcdd9."},"file_date_updated":"2025-05-12T07:13:07Z","abstract":[{"lang":"eng","text":"The Nelson model describes non-relativistic particles coupled to a relativistic Bose scalar field. In this article, we study the renormalized version of the Nelson model with massless bosons in Davies' weak coupling limit. Our main result states that the two-body Coulomb potential emerges as an effective pair interaction between the particles, which arises from the exchange of virtual excitations of the quantum field."}],"date_updated":"2025-09-30T12:24:45Z","publication_identifier":{"issn":["1751-8113"],"eissn":["1751-8121"]}},{"oa":1,"date_created":"2025-05-18T22:02:51Z","_id":"19705","day":"01","publisher":"World Scientific Publishing","article_processing_charge":"Yes (in subscription journal)","status":"public","acknowledgement":"Thanks belong to Johannes Ageskov and Matˇej Tuˇsek for helpful discussions on some technical details. M. F. would further like to acknowledge support for research on this paper from the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 101034413 as well as support by funding from Villum Fonden through the QMATH Centreof Excellence Grant No. 10059. D. K. was supported by the EXPRO Grant No.20-17749X of the Czech Science Foundation (GACR).","volume":37,"language":[{"iso":"eng"}],"citation":{"ieee":"M. Fialova and D. Krejčiřík, “Virtual bound states of the Pauli operator with an Aharonov–Bohm potential,” Reviews in Mathematical Physics, vol. 37, no. 6. World Scientific Publishing, 2025.","chicago":"Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli Operator with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics. World Scientific Publishing, 2025. https://doi.org/10.1142/S0129055X25500114.","apa":"Fialova, M., & Krejčiřík, D. (2025). Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X25500114","ista":"Fialova M, Krejčiřík D. 2025. Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. 37(6), 2550011.","ama":"Fialova M, Krejčiřík D. Virtual bound states of the Pauli operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics. 2025;37(6). doi:10.1142/S0129055X25500114","short":"M. Fialova, D. Krejčiřík, Reviews in Mathematical Physics 37 (2025).","mla":"Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli Operator with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics, vol. 37, no. 6, 2550011, World Scientific Publishing, 2025, doi:10.1142/S0129055X25500114."},"file_date_updated":"2025-12-30T08:23:12Z","doi":"10.1142/S0129055X25500114","date_updated":"2026-05-06T13:03:25Z","abstract":[{"text":"A maximal realization of the two-dimensional Pauli operator, subject to Aharonov–Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the Pauli operator are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric (not necessarily self-adjoint) perturbations, are derived.","lang":"eng"}],"publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]},"title":"Virtual bound states of the Pauli operator with an Aharonov–Bohm potential","has_accepted_license":"1","OA_place":"publisher","ddc":["530","510"],"OA_type":"hybrid","APC_amount":"2320,48 EUR","type":"journal_article","scopus_import":"1","ec_funded":1,"publication":"Reviews in Mathematical Physics","date_published":"2025-07-01T00:00:00Z","publication_status":"published","file":[{"checksum":"559d97ee2da28bf0bd2c6af507f3a914","file_name":"2025_ReviewsMathPhysics_Fialova.pdf","date_created":"2025-12-30T08:23:12Z","success":1,"relation":"main_file","file_size":484646,"file_id":"20893","access_level":"open_access","creator":"dernst","content_type":"application/pdf","date_updated":"2025-12-30T08:23:12Z"}],"oa_version":"Published Version","external_id":{"isi":["001481012500001"],"arxiv":["2501.17029"]},"arxiv":1,"author":[{"last_name":"Fialova","full_name":"Fialova, Marie","first_name":"Marie","id":"e9c9844d-9e21-11ec-b482-f96fc09f7c4d"},{"full_name":"Krejčiřík, David","first_name":"David","last_name":"Krejčiřík"}],"intvolume":" 37","project":[{"call_identifier":"H2020","grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program"}],"year":"2025","quality_controlled":"1","issue":"6","PlanS_conform":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"07","department":[{"_id":"RoSe"}],"isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"2550011","article_type":"original"},{"publication":"Annales de l'Institut Henri Poincaré C","date_published":"2025-05-06T00:00:00Z","type":"journal_article","OA_type":"green","DOAJ_listed":"1","title":"Renormalized Bogoliubov theory for the Nelson model","OA_place":"repository","date_updated":"2025-12-30T07:31:09Z","abstract":[{"lang":"eng","text":"We consider the time evolution of the renormalized Nelson model, which describes N bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles N≫1 with coupling constant proportional to N^−1/2. First, we show that initial states exhibiting Bose–Einstein condensation for the particles and approximating a coherent state for the quantum field retain their structure under the many-body time evolution. Concretely, the dynamics of the reduced densities are approximated by solutions of two coupled PDEs, the Schrödinger–Klein–Gordon equations. Second, we construct a renormalized Bogoliubov evolution that describes the quantum fluctuations around the Schrödinger–Klein–Gordon equations. This evolution is used to extend the approximation of the evolved many-body state to the full norm topology. In summary, we provide a comprehensive analysis of the Nelson model that reveals the role of renormalization in the mean-field Bogoliubov theory."}],"publication_identifier":{"issn":["0294-1449"],"eissn":["1873-1430"]},"language":[{"iso":"eng"}],"citation":{"ieee":"M. Falconi, J. Lampart, N. Leopold, and D. J. Mitrouskas, “Renormalized Bogoliubov theory for the Nelson model,” Annales de l’Institut Henri Poincaré C. EMS Press, 2025.","ista":"Falconi M, Lampart J, Leopold N, Mitrouskas DJ. 2025. Renormalized Bogoliubov theory for the Nelson model. Annales de l’Institut Henri Poincaré C.","ama":"Falconi M, Lampart J, Leopold N, Mitrouskas DJ. Renormalized Bogoliubov theory for the Nelson model. Annales de l’Institut Henri Poincaré C. 2025. doi:10.4171/aihpc/154","chicago":"Falconi, Marco, Jonas Lampart, Nikolai Leopold, and David Johannes Mitrouskas. “Renormalized Bogoliubov Theory for the Nelson Model.” Annales de l’Institut Henri Poincaré C. EMS Press, 2025. https://doi.org/10.4171/aihpc/154.","apa":"Falconi, M., Lampart, J., Leopold, N., & Mitrouskas, D. J. (2025). Renormalized Bogoliubov theory for the Nelson model. Annales de l’Institut Henri Poincaré C. EMS Press. https://doi.org/10.4171/aihpc/154","short":"M. Falconi, J. Lampart, N. Leopold, D.J. Mitrouskas, Annales de l’Institut Henri Poincaré C (2025).","mla":"Falconi, Marco, et al. “Renormalized Bogoliubov Theory for the Nelson Model.” Annales de l’Institut Henri Poincaré C, EMS Press, 2025, doi:10.4171/aihpc/154."},"doi":"10.4171/aihpc/154","article_processing_charge":"No","status":"public","oa":1,"date_created":"2025-07-21T07:59:16Z","_id":"20045","day":"06","publisher":"EMS Press","article_type":"original","department":[{"_id":"RoSe"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"05","year":"2025","quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2305.06722","open_access":"1"}],"external_id":{"arxiv":["2305.06722"]},"arxiv":1,"author":[{"last_name":"Falconi","first_name":"Marco","full_name":"Falconi, Marco"},{"last_name":"Lampart","first_name":"Jonas","full_name":"Lampart, Jonas"},{"full_name":"Leopold, Nikolai","first_name":"Nikolai","last_name":"Leopold"},{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"}],"oa_version":"Preprint","publication_status":"epub_ahead"},{"author":[{"full_name":"Carlen, Eric","first_name":"Eric","last_name":"Carlen"},{"full_name":"Lewin, Mathieu","first_name":"Mathieu","last_name":"Lewin"},{"full_name":"Lieb, Elliott H.","first_name":"Elliott H.","last_name":"Lieb"},{"full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"arxiv":1,"external_id":{"arxiv":["2410.20113"],"isi":["001558641300006"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2410.20113","open_access":"1"}],"intvolume":" 64","publication_status":"published","oa_version":"Preprint","department":[{"_id":"RoSe"}],"article_type":"original","article_number":"226","isi":1,"quality_controlled":"1","year":"2025","month":"09","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","issue":"7","doi":"10.1007/s00526-025-03062-x","citation":{"ieee":"E. Carlen, M. Lewin, E. H. Lieb, and R. Seiringer, “Stability estimate for the Lane–Emden inequality,” Calculus of Variations and Partial Differential Equations, vol. 64, no. 7. Springer Nature, 2025.","ista":"Carlen E, Lewin M, Lieb EH, Seiringer R. 2025. Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. 64(7), 226.","ama":"Carlen E, Lewin M, Lieb EH, Seiringer R. Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. 2025;64(7). doi:10.1007/s00526-025-03062-x","apa":"Carlen, E., Lewin, M., Lieb, E. H., & Seiringer, R. (2025). Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. Springer Nature. https://doi.org/10.1007/s00526-025-03062-x","chicago":"Carlen, Eric, Mathieu Lewin, Elliott H. Lieb, and Robert Seiringer. “Stability Estimate for the Lane–Emden Inequality.” Calculus of Variations and Partial Differential Equations. Springer Nature, 2025. https://doi.org/10.1007/s00526-025-03062-x.","short":"E. Carlen, M. Lewin, E.H. Lieb, R. Seiringer, Calculus of Variations and Partial Differential Equations 64 (2025).","mla":"Carlen, Eric, et al. “Stability Estimate for the Lane–Emden Inequality.” Calculus of Variations and Partial Differential Equations, vol. 64, no. 7, 226, Springer Nature, 2025, doi:10.1007/s00526-025-03062-x."},"language":[{"iso":"eng"}],"volume":64,"publication_identifier":{"issn":["0944-2669"],"eissn":["1432-0835"]},"abstract":[{"lang":"eng","text":"The Lane–Emden inequality controls (math. formular) in terms of the L^1 and L^p norms of p. We provide a remainder estimate for this inequality in terms of a suitable distance of p to the manifold of optimizers."}],"date_updated":"2025-09-30T14:27:35Z","publisher":"Springer Nature","day":"01","_id":"20251","date_created":"2025-08-31T22:01:31Z","oa":1,"status":"public","acknowledgement":"We are grateful to Rupert Frank and Enno Lenzmann for helpful discussions.","article_processing_charge":"No","scopus_import":"1","type":"journal_article","date_published":"2025-09-01T00:00:00Z","publication":"Calculus of Variations and Partial Differential Equations","OA_place":"repository","title":"Stability estimate for the Lane–Emden inequality","OA_type":"green"},{"month":"10","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","year":"2025","article_type":"original","isi":1,"department":[{"_id":"RoSe"}],"oa_version":"Preprint","publication_status":"epub_ahead","arxiv":1,"author":[{"full_name":"Cárdenas, Esteban","first_name":"Esteban","last_name":"Cárdenas"},{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2405.05251"}],"external_id":{"arxiv":["2405.05251"],"isi":["001586237500001"]},"OA_type":"green","OA_place":"repository","title":"Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field","date_published":"2025-10-03T00:00:00Z","publication":"Annales Henri Poincare","scopus_import":"1","type":"journal_article","article_processing_charge":"No","acknowledgement":"E.C. is deeply grateful to Robert Seiringer for his hospitality at ISTA, without which this project would not have been possible. E.C. is thankful to Thomas Chen for valuable comments and for pointing out useful references. E.C gratefully acknowledges support from the Provost’s Graduate Excellence Fellowship at The University of Texas at Austin and from the NSF grant DMS-2009549, and the NSF grant DMS-2009800 through T. Chen. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1928930, while E.C was in residence at the Simons Laufer Mathematical Sciences Institute in Berkeley, California, during the Fall 2025 semester.","status":"public","_id":"20495","day":"03","publisher":"Springer Nature","oa":1,"date_created":"2025-10-19T22:01:32Z","publication_identifier":{"issn":["1424-0637"]},"date_updated":"2025-12-01T12:56:12Z","abstract":[{"text":"We consider a tracer particle coupled to a Bose scalar field and study the regime where the field’s propagation speed approaches infinity. For initial states devoid of field excitations, we introduce an effective approximation of the time-evolved wave function and prove its validity in Hilbert space norm. In this approximation, the field remains in the vacuum state, while the tracer particle propagates with a modified dispersion relation. Physically, the new dispersion relation can be understood as the effect of radiative corrections due to interactions with virtual bosons. Mathematically, it is defined as the solution of a self-consistent nonlinear equation, whose form depends on the relevant time scale.","lang":"eng"}],"doi":"10.1007/s00023-025-01626-3","citation":{"mla":"Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” Annales Henri Poincare, Springer Nature, 2025, doi:10.1007/s00023-025-01626-3.","short":"E. Cárdenas, D.J. Mitrouskas, Annales Henri Poincare (2025).","apa":"Cárdenas, E., & Mitrouskas, D. J. (2025). Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-025-01626-3","chicago":"Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” Annales Henri Poincare. Springer Nature, 2025. https://doi.org/10.1007/s00023-025-01626-3.","ama":"Cárdenas E, Mitrouskas DJ. Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare. 2025. doi:10.1007/s00023-025-01626-3","ista":"Cárdenas E, Mitrouskas DJ. 2025. Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare.","ieee":"E. Cárdenas and D. J. Mitrouskas, “Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field,” Annales Henri Poincare. Springer Nature, 2025."},"language":[{"iso":"eng"}]},{"month":"01","PlanS_conform":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","quality_controlled":"1","year":"2025","pmid":1,"article_type":"original","isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"department":[{"_id":"RoSe"}],"oa_version":"Published Version","file":[{"date_updated":"2025-08-05T11:42:27Z","content_type":"application/pdf","checksum":"01b6572f55f721e97498522c85072ed2","file_name":"2025_AnnalesHenriPoincare_Lauritsen.pdf","date_created":"2025-08-05T11:42:27Z","file_id":"20125","access_level":"open_access","creator":"dernst","success":1,"file_size":797241,"relation":"main_file"}],"publication_status":"published","page":"203-243","project":[{"name":"Mathematical Challenges in BCS Theory of Superconductivity","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","grant_number":"I06427"}],"intvolume":" 26","author":[{"full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","orcid":"0000-0003-4476-2288"}],"external_id":{"pmid":["39926012"],"isi":["001261197700002"]},"OA_type":"hybrid","OA_place":"publisher","ddc":["510"],"title":"Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion","has_accepted_license":"1","date_published":"2025-01-01T00:00:00Z","publication":"Annales Henri Poincare","related_material":{"record":[{"id":"18135","relation":"dissertation_contains","status":"public"}]},"scopus_import":"1","type":"journal_article","article_processing_charge":"Yes (via OA deal)","status":"public","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nWe thank Alessandro Giuliani and Robert Seiringer for helpful discussions and Robert Seiringer for his comments on the manuscript. Financial support by the Austrian Science Fund (FWF) through Grant https://doi.org/10.55776/I6427 (as part of the SFB/TRR 352) is gratefully acknowledged.","_id":"17240","day":"01","publisher":"Springer Nature","date_created":"2024-07-14T22:01:12Z","oa":1,"corr_author":"1","publication_identifier":{"issn":["1424-0637"]},"date_updated":"2026-04-07T13:01:40Z","abstract":[{"lang":"eng","text":"We prove an upper bound on the energy density of the dilute spin-\\(\\frac {1}{2}\\) Fermi gas capturing the leading correction to the kinetic energy\\(8\\pi a\\rho _\\uparrow\\rho _\\downarrow\\) with an error of size smaller than\\(a\\rho^{2}(a^ 3\\rho)^{1/3-\\varepsilon}\\) for any\\(\\varepsilon> 0\\), where a denotes the scattering length of the interaction. The result is valid for a large class of interactions including interactions with a hard core. A central ingredient in the proof is a rigorous version of a fermionic cluster expansion adapted from the formal expansion of Gaudin et al. (Nucl Phys A 176(2):237–260, 1971. https://doi.org/10.1016/0375-9474(71)90267-3)."}],"doi":"10.1007/s00023-024-01450-1","file_date_updated":"2025-08-05T11:42:27Z","citation":{"short":"A.B. Lauritsen, Annales Henri Poincare 26 (2025) 203–243.","mla":"Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground State Energy of a Dilute Fermi Gas via Cluster Expansion.” Annales Henri Poincare, vol. 26, Springer Nature, 2025, pp. 203–43, doi:10.1007/s00023-024-01450-1.","ieee":"A. B. Lauritsen, “Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion,” Annales Henri Poincare, vol. 26. Springer Nature, pp. 203–243, 2025.","apa":"Lauritsen, A. B. (2025). Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-024-01450-1","chicago":"Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground State Energy of a Dilute Fermi Gas via Cluster Expansion.” Annales Henri Poincare. Springer Nature, 2025. https://doi.org/10.1007/s00023-024-01450-1.","ama":"Lauritsen AB. Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. 2025;26:203-243. doi:10.1007/s00023-024-01450-1","ista":"Lauritsen AB. 2025. Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. 26, 203–243."},"language":[{"iso":"eng"}],"volume":26},{"PlanS_conform":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"08","year":"2025","quality_controlled":"1","isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_type":"original","department":[{"_id":"RoSe"}],"file":[{"date_created":"2025-08-05T11:24:25Z","checksum":"d8d2d6dbce293c9ee6eaa9262e597147","file_name":"2025_AnnalesHenriPoincare_Fialova.pdf","relation":"main_file","file_size":728124,"success":1,"creator":"dernst","access_level":"open_access","file_id":"20124","content_type":"application/pdf","date_updated":"2025-08-05T11:24:25Z"}],"oa_version":"Published Version","page":"2859-2900","publication_status":"published","intvolume":" 26","project":[{"name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","call_identifier":"H2020"}],"external_id":{"arxiv":["2304.13373"],"isi":["001304370000001"]},"arxiv":1,"author":[{"last_name":"Fialova","full_name":"Fialova, Marie","id":"e9c9844d-9e21-11ec-b482-f96fc09f7c4d","first_name":"Marie"}],"OA_type":"hybrid","has_accepted_license":"1","title":"Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition","OA_place":"publisher","ddc":["510"],"ec_funded":1,"publication":"Annales Henri Poincare","date_published":"2025-08-01T00:00:00Z","type":"journal_article","scopus_import":"1","article_processing_charge":"Yes (via OA deal)","acknowledgement":"First and foremost I am grateful to Jan Philip Solovej for fruitful meetings during (and after) my PhD programme, when this work was done. Further I would like to thank Joshua Hunt, Anna Sisak, Jakub Löwit, Błażej Ruba, Volodymir Riabov, Lukas Schimmer and Georgios Koutentakis for valuable discussions. Many thanks belong to Rafael Benguria for hosting my visit, during which some of the work has been done. I am also grateful to Marina Prokhorova who first initiated the discussion of this project topic and to Annemarie Luger for her valuable comments during my PhD defence and in particular pointing out the qualitative difference in our two main results. I would like to acknowledge support for research on this paper from VILLUM FONDEN through the QMATH Centre of Excellence grant. nr. 10059. This project also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101034413. I am grateful to the two reviewers for reading carefully my manuscript and pointing out several issues contributing thus significantly to the readability and clarity of this paper.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","status":"public","date_created":"2024-09-15T22:01:42Z","oa":1,"corr_author":"1","_id":"18074","day":"01","publisher":"Springer Nature","date_updated":"2025-09-30T10:22:14Z","abstract":[{"lang":"eng","text":"The Aharonov–Casher theorem is a result on the number of the so-called zero modes of a system described by the magnetic Pauli operator in R2. In this paper we address the same question for the Dirac operator on a flat two-dimensional manifold with boundary and Atiyah–Patodi–Singer boundary condition. More concretely we are interested in the plane and a disc with a finite number of circular holes cut out. We consider a smooth compactly supported magnetic field on the manifold and an arbitrary magnetic field inside the holes."}],"publication_identifier":{"issn":["1424-0637"]},"volume":26,"language":[{"iso":"eng"}],"doi":"10.1007/s00023-024-01482-7","file_date_updated":"2025-08-05T11:24:25Z","citation":{"short":"M. Fialova, Annales Henri Poincare 26 (2025) 2859–2900.","mla":"Fialova, Marie. “Aharonov–Casher Theorems for Dirac Operators on Manifolds with Boundary and APS Boundary Condition.” Annales Henri Poincare, vol. 26, Springer Nature, 2025, pp. 2859–900, doi:10.1007/s00023-024-01482-7.","ieee":"M. Fialova, “Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition,” Annales Henri Poincare, vol. 26. Springer Nature, pp. 2859–2900, 2025.","ama":"Fialova M. Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition. Annales Henri Poincare. 2025;26:2859-2900. doi:10.1007/s00023-024-01482-7","ista":"Fialova M. 2025. Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition. Annales Henri Poincare. 26, 2859–2900.","apa":"Fialova, M. (2025). Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-024-01482-7","chicago":"Fialova, Marie. “Aharonov–Casher Theorems for Dirac Operators on Manifolds with Boundary and APS Boundary Condition.” Annales Henri Poincare. Springer Nature, 2025. https://doi.org/10.1007/s00023-024-01482-7."}},{"file":[{"content_type":"application/pdf","date_updated":"2025-04-11T09:13:31Z","file_name":"Henheik_JSpectralTheory_2025.pdf","checksum":"f49e06e8dba819f7ad52a202e287ebca","date_created":"2025-04-11T09:13:31Z","success":1,"relation":"main_file","file_size":779158,"file_id":"19549","access_level":"open_access","creator":"cchlebak"}],"oa_version":"Published Version","page":"305–352","publication_status":"published","intvolume":" 15","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331"},{"grant_number":"I06427","name":"Mathematical Challenges in BCS Theory of Superconductivity","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b"}],"external_id":{"arxiv":["2312.11310"],"isi":["001438931600009"]},"author":[{"orcid":"0000-0003-1106-327X","last_name":"Henheik","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha"},{"full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen","orcid":"0000-0003-4476-2288"}],"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"1","month":"01","year":"2025","quality_controlled":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"isi":1,"article_type":"original","department":[{"_id":"LaEr"},{"_id":"RoSe"}],"status":"public","acknowledgement":"We thank Andreas Deuchert, Christian Hainzl, Edwin Langmann, Marius Lemm, Robert Seiringer, and Jan Philip Solovej for helpful discussions,\r\nand Edwin Langmann and Robert Seiringer for valuable comments on an earlier version of the manuscript.\r\nFunding. Joscha Henheik gratefully acknowledges partial financial support by the\r\nERC Advanced Grant “RMTBeyond” No. 101020331. Asbjørn Bækgaard Lauritsen\r\ngratefully acknowledges partial financial support by the Austrian Science Fund (FWF)\r\nthrough grant DOI 10.55776/I6427 (as part of the SFB/TRR 352).\r\n","article_processing_charge":"No","corr_author":"1","date_created":"2025-04-11T09:19:28Z","oa":1,"day":"09","publisher":"EMS Press","_id":"19548","abstract":[{"lang":"eng","text":"We consider the BCS energy gap „.T / (essentially given by „.T / \u0019 .T; p\u0016/,\r\nthe BCS order parameter) at all temperatures 0 \u0014 T \u0014 Tc up to the critical one, Tc, and show\r\nthat, in the limit of weak coupling, the ratio „.T /=Tc is given by a universal function of the relative temperature T =Tc. On the one hand, this recovers a recent result by Langmann and Triola\r\n[Phys. Rev. B 108 (2023), no. 10, article no. 104503] on three-dimensional s-wave superconductors for temperatures bounded uniformly away from Tc. On the other hand, our result lifts these\r\nrestrictions, as we consider arbitrary spatial dimensions d 2 ¹1; 2; 3º, discuss superconductors\r\nwith non-zero angular momentum (primarily in two dimensions), and treat the perhaps physically most interesting (due to the occurrence of the superconducting phase transition) regime of\r\ntemperatures close to Tc.\r\n\r\n\r\n ."}],"date_updated":"2026-07-29T13:18:17Z","publication_identifier":{"eissn":["1664-0403"]},"volume":15,"language":[{"iso":"eng"}],"file_date_updated":"2025-04-11T09:13:31Z","citation":{"ieee":"S. J. Henheik and A. B. Lauritsen, “Universal behavior of the BCS energy gap,” Journal of Spectral Theory, vol. 15, no. 1. EMS Press, pp. 305–352, 2025.","ama":"Henheik SJ, Lauritsen AB. Universal behavior of the BCS energy gap. Journal of Spectral Theory. 2025;15(1):305–352. doi:10.4171/JST/540","ista":"Henheik SJ, Lauritsen AB. 2025. Universal behavior of the BCS energy gap. Journal of Spectral Theory. 15(1), 305–352.","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “Universal Behavior of the BCS Energy Gap.” Journal of Spectral Theory. EMS Press, 2025. https://doi.org/10.4171/JST/540.","apa":"Henheik, S. J., & Lauritsen, A. B. (2025). Universal behavior of the BCS energy gap. Journal of Spectral Theory. EMS Press. https://doi.org/10.4171/JST/540","short":"S.J. Henheik, A.B. Lauritsen, Journal of Spectral Theory 15 (2025) 305–352.","mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “Universal Behavior of the BCS Energy Gap.” Journal of Spectral Theory, vol. 15, no. 1, EMS Press, 2025, pp. 305–352, doi:10.4171/JST/540."},"doi":"10.4171/JST/540","OA_type":"gold","title":"Universal behavior of the BCS energy gap","DOAJ_listed":"1","has_accepted_license":"1","ddc":["500"],"OA_place":"publisher","publication":"Journal of Spectral Theory","ec_funded":1,"date_published":"2025-01-09T00:00:00Z","type":"journal_article","related_material":{"record":[{"relation":"dissertation_contains","id":"19540","status":"public"}]},"scopus_import":"1"}]