[{"title":"Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling","arxiv":1,"author":[{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"file":[{"relation":"main_file","content_type":"application/pdf","file_size":201513,"creator":"dernst","success":1,"file_name":"2023_JST_Seiringer.pdf","date_created":"2023-12-11T12:03:12Z","access_level":"open_access","date_updated":"2023-12-11T12:03:12Z","file_id":"14677","checksum":"9ce96ca87d56ea9a70d2eb9a32839f8d"}],"day":"25","publication":"Journal of Spectral Theory","scopus_import":"1","article_processing_charge":"Yes","article_type":"original","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)"},"publisher":"EMS Press","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"RoSe"}],"doi":"10.4171/JST/469","quality_controlled":"1","publication_identifier":{"eissn":["1664-0403"],"issn":["1664-039X"]},"language":[{"iso":"eng"}],"issue":"3","volume":13,"date_created":"2023-12-10T23:00:59Z","file_date_updated":"2023-12-11T12:03:12Z","page":"1045-1055","date_updated":"2023-12-11T12:12:14Z","abstract":[{"text":"We consider a class of polaron models, including the Fröhlich model, at zero total\r\nmomentum, and show that at sufficiently weak coupling there are no excited eigenvalues below\r\nthe essential spectrum.","lang":"eng"}],"type":"journal_article","month":"11","oa_version":"None","_id":"14662","year":"2023","ddc":["510"],"date_published":"2023-11-25T00:00:00Z","publication_status":"published","oa":1,"has_accepted_license":"1","intvolume":"        13","citation":{"chicago":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” <i>Journal of Spectral Theory</i>. EMS Press, 2023. <a href=\"https://doi.org/10.4171/JST/469\">https://doi.org/10.4171/JST/469</a>.","ieee":"R. Seiringer, “Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling,” <i>Journal of Spectral Theory</i>, vol. 13, no. 3. EMS Press, pp. 1045–1055, 2023.","short":"R. Seiringer, Journal of Spectral Theory 13 (2023) 1045–1055.","ama":"Seiringer R. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. <i>Journal of Spectral Theory</i>. 2023;13(3):1045-1055. doi:<a href=\"https://doi.org/10.4171/JST/469\">10.4171/JST/469</a>","apa":"Seiringer, R. (2023). Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. <i>Journal of Spectral Theory</i>. EMS Press. <a href=\"https://doi.org/10.4171/JST/469\">https://doi.org/10.4171/JST/469</a>","mla":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” <i>Journal of Spectral Theory</i>, vol. 13, no. 3, EMS Press, 2023, pp. 1045–55, doi:<a href=\"https://doi.org/10.4171/JST/469\">10.4171/JST/469</a>.","ista":"Seiringer R. 2023. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 13(3), 1045–1055."},"status":"public","external_id":{"arxiv":["2210.17123"]}},{"publication":"Journal of Spectral Theory","article_type":"original","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,"article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"EMS Press","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"arxiv":1,"title":"Boundary superconductivity in the BCS model","author":[{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"last_name":"Roos","first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880","full_name":"Roos, Barbara"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"day":"18","file":[{"file_name":"2023_EMS_Hainzl.pdf","success":1,"creator":"alisjak","file_size":304619,"relation":"main_file","content_type":"application/pdf","checksum":"5501da33be010b5c81440438287584d5","file_id":"13208","date_updated":"2023-07-11T08:19:15Z","access_level":"open_access","date_created":"2023-07-11T08:19:15Z"}],"isi":1,"issue":"4","language":[{"iso":"eng"}],"project":[{"grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"}],"doi":"10.4171/JST/439","quality_controlled":"1","publication_identifier":{"issn":["1664-039X"],"eissn":["1664-0403"]},"_id":"13207","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.","year":"2023","volume":12,"date_created":"2023-07-10T16:35:45Z","file_date_updated":"2023-07-11T08:19:15Z","page":"1507–1540","type":"journal_article","month":"05","oa_version":"Published Version","date_updated":"2023-10-27T10:37:29Z","abstract":[{"lang":"eng","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."}],"intvolume":"        12","related_material":{"record":[{"status":"public","id":"14374","relation":"dissertation_contains"}]},"citation":{"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>","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>","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>.","ista":"Hainzl C, Roos B, Seiringer R. 2023. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 12(4), 1507–1540.","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>.","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.","short":"C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540."},"external_id":{"arxiv":["2201.08090"],"isi":["000997933500008"]},"status":"public","ddc":["530"],"date_published":"2023-05-18T00:00:00Z","oa":1,"publication_status":"published","has_accepted_license":"1"}]