{"related_material":{"record":[{"id":"14374","relation":"dissertation_contains","status":"public"}]},"intvolume":"        12","language":[{"iso":"eng"}],"quality_controlled":"1","oa":1,"tmp":{"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)","image":"/images/cc_by.png"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file_date_updated":"2023-07-11T08:19:15Z","page":"1507–1540","file":[{"success":1,"date_created":"2023-07-11T08:19:15Z","file_id":"13208","checksum":"5501da33be010b5c81440438287584d5","file_name":"2023_EMS_Hainzl.pdf","relation":"main_file","access_level":"open_access","file_size":304619,"date_updated":"2023-07-11T08:19:15Z","creator":"alisjak","content_type":"application/pdf"}],"date_published":"2023-05-18T00:00:00Z","day":"18","publication_status":"published","publication":"Journal of Spectral Theory","author":[{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880","last_name":"Roos","full_name":"Roos, Barbara"},{"first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"doi":"10.4171/JST/439","_id":"13207","volume":12,"external_id":{"arxiv":["2201.08090"],"isi":["000997933500008"]},"project":[{"grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"}],"issue":"4","publisher":"EMS Press","abstract":[{"text":"We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical temperature is strictly larger than the bulk value, at least at weak coupling. In particular, the Cooper-pair wave function localizes near the boundary, an effect that cannot be modeled by effective Neumann boundary conditions on the order parameter as often imposed in Ginzburg–Landau theory. We also show that the relative shift in critical temperature vanishes if the coupling constant either goes to zero or to infinity.","lang":"eng"}],"ddc":["530"],"year":"2023","publication_identifier":{"issn":["1664-039X"],"eissn":["1664-0403"]},"oa_version":"Published Version","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"ec_funded":1,"status":"public","article_type":"original","date_created":"2023-07-10T16:35:45Z","has_accepted_license":"1","citation":{"apa":"Hainzl, C., Roos, B., &#38; Seiringer, R. (2023). Boundary superconductivity in the BCS model. <i>Journal of Spectral Theory</i>. EMS Press. <a href=\"https://doi.org/10.4171/JST/439\">https://doi.org/10.4171/JST/439</a>","chicago":"Hainzl, Christian, Barbara Roos, and Robert Seiringer. “Boundary Superconductivity in the BCS Model.” <i>Journal of Spectral Theory</i>. EMS Press, 2023. <a href=\"https://doi.org/10.4171/JST/439\">https://doi.org/10.4171/JST/439</a>.","mla":"Hainzl, Christian, et al. “Boundary Superconductivity in the BCS Model.” <i>Journal of Spectral Theory</i>, vol. 12, no. 4, EMS Press, 2023, pp. 1507–1540, doi:<a href=\"https://doi.org/10.4171/JST/439\">10.4171/JST/439</a>.","ama":"Hainzl C, Roos B, Seiringer R. Boundary superconductivity in the BCS model. <i>Journal of Spectral Theory</i>. 2023;12(4):1507–1540. doi:<a href=\"https://doi.org/10.4171/JST/439\">10.4171/JST/439</a>","ieee":"C. Hainzl, B. Roos, and R. Seiringer, “Boundary superconductivity in the BCS model,” <i>Journal of Spectral Theory</i>, vol. 12, no. 4. EMS Press, pp. 1507–1540, 2023.","ista":"Hainzl C, Roos B, Seiringer R. 2023. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 12(4), 1507–1540.","short":"C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540."},"type":"journal_article","date_updated":"2023-10-27T10:37:29Z","month":"05","title":"Boundary superconductivity in the BCS model","acknowledgement":"We thank Egor Babaev for encouraging us to study this problem, and Rupert Frank for many fruitful discussions. scussions. Funding. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (Barbara Roos and Robert Seiringer) is gratefully acknowledged.","article_processing_charge":"No","isi":1}