Universality in low-dimensional BCS theory Henheik, Sven Joscha ; https://orcid.org/0000-0003-1106-327X Lauritsen, Asbjørn Bækgaard ; https://orcid.org/0000-0003-4476-2288 Roos, Barbara ; https://orcid.org/0000-0002-9071-5880 ddc:510 It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature Ξ 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. World Scientific Publishing 2024 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/14542 https://research-explorer.ista.ac.at/download/14542/18786 Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory. <i>Reviews in Mathematical Physics</i>. 2024;36(9). doi:<a href="https://doi.org/10.1142/s0129055x2360005x">10.1142/s0129055x2360005x</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1142/s0129055x2360005x info:eu-repo/semantics/altIdentifier/issn/0129-055X info:eu-repo/semantics/altIdentifier/e-issn/1793-6659 info:eu-repo/semantics/altIdentifier/wos/001099640300002 info:eu-repo/semantics/altIdentifier/arxiv/2301.05621 info:eu-repo/semantics/openAccess