{"abstract":[{"lang":"eng","text":"We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers, partly in collaboration with R. Frank, E. Hamza, S. Naboko, and J. P. Solovej. Our discussion includes, in particular, an investigation of the critical temperature for a general class of interaction potentials, as well as a study of its dependence on external fields. We shall explain how the Ginzburg-Landau model can be derived from the BCS theory in a suitable parameter regime."}],"_id":"1486","oa":1,"date_created":"2018-12-11T11:52:18Z","month":"02","intvolume":"        57","publisher":"American Institute of Physics","quality_controlled":"1","author":[{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","day":"24","department":[{"_id":"RoSe"}],"article_number":"021101","title":"The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties","doi":"10.1063/1.4941723","language":[{"iso":"eng"}],"oa_version":"Preprint","date_updated":"2021-01-12T06:51:04Z","publication_status":"published","issue":"2","scopus_import":1,"status":"public","year":"2016","publist_id":"5701","publication":"Journal of Mathematical Physics","type":"journal_article","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1511.01995"}],"volume":57,"date_published":"2016-02-24T00:00:00Z","citation":{"apa":"Hainzl, C., &#38; Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.4941723\">https://doi.org/10.1063/1.4941723</a>","mla":"Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” <i>Journal of Mathematical Physics</i>, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:<a href=\"https://doi.org/10.1063/1.4941723\">10.1063/1.4941723</a>.","chicago":"Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2016. <a href=\"https://doi.org/10.1063/1.4941723\">https://doi.org/10.1063/1.4941723</a>.","ieee":"C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties,” <i>Journal of Mathematical Physics</i>, vol. 57, no. 2. American Institute of Physics, 2016.","short":"C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).","ama":"Hainzl C, Seiringer R. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. <i>Journal of Mathematical Physics</i>. 2016;57(2). doi:<a href=\"https://doi.org/10.1063/1.4941723\">10.1063/1.4941723</a>","ista":"Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101."}}