[{"external_id":{"arxiv":["2301.05621"]},"date_updated":"2023-11-20T10:04:38Z","citation":{"ista":"Henheik SJ, Lauritsen AB, Roos B. 2023. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics., 2360005.","mla":"Henheik, Sven Joscha, et al. “Universality in Low-Dimensional BCS Theory.” <i>Reviews in Mathematical Physics</i>, 2360005, World Scientific Publishing, 2023, doi:<a href=\"https://doi.org/10.1142/s0129055x2360005x\">10.1142/s0129055x2360005x</a>.","short":"S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).","ieee":"S. J. Henheik, A. B. Lauritsen, and B. Roos, “Universality in low-dimensional BCS theory,” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2023.","chicago":"Henheik, Sven Joscha, Asbjørn Bækgaard Lauritsen, and Barbara Roos. “Universality in Low-Dimensional BCS Theory.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2023. <a href=\"https://doi.org/10.1142/s0129055x2360005x\">https://doi.org/10.1142/s0129055x2360005x</a>.","ama":"Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory. <i>Reviews in Mathematical Physics</i>. 2023. doi:<a href=\"https://doi.org/10.1142/s0129055x2360005x\">10.1142/s0129055x2360005x</a>","apa":"Henheik, S. J., Lauritsen, A. B., &#38; Roos, B. (2023). Universality in low-dimensional BCS theory. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x2360005x\">https://doi.org/10.1142/s0129055x2360005x</a>"},"year":"2023","abstract":[{"lang":"eng","text":"It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature Ξ\r\n and the critical temperature Tc is (approximately) given by a universal constant, independent of the microscopic details of the fermionic interaction. This universality has rigorously been proven quite recently in three spatial dimensions and three different limiting regimes: weak coupling, low density and high density. The goal of this short note is to extend the universal behavior to lower dimensions d=1,2 and give an exemplary proof in the weak coupling limit."}],"arxiv":1,"doi":"10.1142/s0129055x2360005x","day":"31","acknowledgement":"We thank Robert Seiringer for comments on the paper. J. H. gratefully acknowledges  partial  financial  support  by  the  ERC  Advanced  Grant  “RMTBeyond”No. 101020331.This research was funded in part by the Austrian Science Fund (FWF) grantnumber I6427.","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X"},{"full_name":"Lauritsen, Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"},{"id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880","full_name":"Roos, Barbara","first_name":"Barbara","last_name":"Roos"}],"_id":"14542","scopus_import":"1","title":"Universality in low-dimensional BCS theory","publication_status":"epub_ahead","article_processing_charge":"Yes (in subscription journal)","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"date_created":"2023-11-15T23:48:14Z","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"World Scientific Publishing","date_published":"2023-10-31T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1142/S0129055X2360005X"}],"publication":"Reviews in Mathematical Physics","has_accepted_license":"1","month":"10","article_number":"2360005 ","oa_version":"Published Version","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"},{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427"}],"language":[{"iso":"eng"}]},{"publication":"Reviews in Mathematical Physics","article_number":"2060012","month":"02","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"oa_version":"Preprint","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"type":"journal_article","date_published":"2021-02-01T00:00:00Z","oa":1,"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.12509"}],"issue":"01","author":[{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"scopus_import":"1","_id":"10852","intvolume":"        33","title":"The polaron at strong coupling","date_created":"2022-03-18T08:11:34Z","article_processing_charge":"No","department":[{"_id":"RoSe"}],"publication_status":"published","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"World Scientific Publishing","external_id":{"isi":["000613313200013"],"arxiv":["1912.12509"]},"isi":1,"year":"2021","citation":{"mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>.","short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.","ama":"Seiringer R. The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. 2021;33(01). doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>","apa":"Seiringer, R. (2021). The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>","ieee":"R. Seiringer, “The polaron at strong coupling,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01. World Scientific Publishing, 2021.","chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>."},"date_updated":"2023-09-05T16:08:02Z","abstract":[{"lang":"eng","text":" We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass."}],"day":"01","arxiv":1,"doi":"10.1142/s0129055x20600120","volume":33,"acknowledgement":"This work was supported by the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo. 694227)."},{"language":[{"iso":"eng"}],"publication":"Reviews in Mathematical Physics","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"oa_version":"Preprint","article_number":"2060009","month":"01","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.08190"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","type":"journal_article","date_published":"2021-01-01T00:00:00Z","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"oa":1,"quality_controlled":"1","ec_funded":1,"publisher":"World Scientific","article_type":"original","scopus_import":"1","_id":"7900","issue":"1","author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","last_name":"Benedikter","first_name":"Niels P","full_name":"Benedikter, Niels P","orcid":"0000-0002-1071-6091"}],"date_created":"2020-05-28T16:47:55Z","article_processing_charge":"No","department":[{"_id":"RoSe"}],"publication_status":"published","intvolume":"        33","title":"Bosonic collective excitations in Fermi gases","volume":33,"citation":{"mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060009, World Scientific, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>.","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009.","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. World Scientific. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>","ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>","chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>. World Scientific, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>.","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific, 2021."},"year":"2021","date_updated":"2023-09-05T16:07:40Z","external_id":{"isi":["000613313200010"],"arxiv":["1910.08190"]},"isi":1,"day":"01","doi":"10.1142/s0129055x20600090","arxiv":1,"abstract":[{"text":"Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation.","lang":"eng"}]}]