{"status":"public","abstract":[{"text":"We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory.","lang":"eng"}],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"citation":{"mla":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1, 3, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>.","ama":"Henheik SJ. The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. 2022;25(1). doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>","chicago":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>.","short":"S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).","ista":"Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 25(1), 3.","apa":"Henheik, S. J. (2022). The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>","ieee":"S. J. Henheik, “The BCS critical temperature at high density,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1. Springer Nature, 2022."},"scopus_import":"1","corr_author":"1","month":"01","arxiv":1,"publication_identifier":{"issn":["1385-0172"],"eissn":["1572-9656"]},"has_accepted_license":"1","date_published":"2022-01-11T00:00:00Z","ec_funded":1,"external_id":{"arxiv":["2106.02015"],"isi":["000741387600001"]},"publisher":"Springer Nature","project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"article_processing_charge":"Yes (via OA deal)","doi":"10.1007/s11040-021-09415-0","publication":"Mathematical Physics, Analysis and Geometry","type":"journal_article","year":"2022","isi":1,"_id":"10623","date_created":"2022-01-13T15:40:53Z","article_number":"3","keyword":["geometry and topology","mathematical physics"],"intvolume":"        25","volume":25,"language":[{"iso":"eng"}],"issue":"1","quality_controlled":"1","day":"11","article_type":"original","publication_status":"published","ddc":["514"],"title":"The BCS critical temperature at high density","file_date_updated":"2022-01-14T07:27:45Z","oa_version":"Published Version","oa":1,"date_updated":"2024-10-09T21:01:22Z","author":[{"orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","last_name":"Henheik"}],"file":[{"file_name":"2022_MathPhyAnalGeo_Henheik.pdf","file_id":"10624","file_size":505804,"date_created":"2022-01-14T07:27:45Z","relation":"main_file","creator":"cchlebak","access_level":"open_access","checksum":"d44f8123a52592a75b2c3b8ee2cd2435","content_type":"application/pdf","success":1,"date_updated":"2022-01-14T07:27:45Z"}],"acknowledgement":"I am very grateful to Robert Seiringer for his guidance during this project and for many valuable comments on an earlier version of the manuscript. Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions and comments, pointing out the reference [22] and for his involvement in a closely related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable comments on an earlier version of the manuscript and Andreas Deuchert for interesting discussions.","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8"}