article published yes Sven Joscha Henheik author 31d731d7-d235-11ea-ad11-b50331c8d7fb0000-0003-1106-327X Asbjørn Bækgaard Lauritsen author e1a2682f-dc8d-11ea-abe3-81da9ac728f10000-0003-4476-2288 Barbara Roos author 5DA90512-D80F-11E9-8994-2E2EE66974250000-0002-9071-5880 GradSch department LaEr department RoSe department Random matrices beyond Wigner-Dyson-Mehta project Mathematical Challenges in BCS Theory of Superconductivity project 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. https://research-explorer.ista.ac.at/download/14542/18786/2024_ReviewsmathPhysics_Henheik.pdf application/pdfno World Scientific Publishing2024 eng 0129-055X 1793-6659 2301.05621 00109964030000210.1142/s0129055x2360005x 369 https://research-explorer.ista.ac.at/record/19540 https://research-explorer.ista.ac.at/record/18135 Henheik, S. J., Lauritsen, A. B., &#38; Roos, B. (2024). 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> Henheik, Sven Joscha, Asbjørn Bækgaard Lauritsen, and Barbara Roos. “Universality in Low-Dimensional BCS Theory.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2024. <a href="https://doi.org/10.1142/s0129055x2360005x">https://doi.org/10.1142/s0129055x2360005x</a>. Henheik SJ, Lauritsen AB, Roos B. 2024. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. 36(9), 2360005. Henheik, Sven Joscha, et al. “Universality in Low-Dimensional BCS Theory.” <i>Reviews in Mathematical Physics</i>, vol. 36, no. 9, 2360005, World Scientific Publishing, 2024, doi:<a href="https://doi.org/10.1142/s0129055x2360005x">10.1142/s0129055x2360005x</a>. S. J. Henheik, A. B. Lauritsen, and B. Roos, “Universality in low-dimensional BCS theory,” <i>Reviews in Mathematical Physics</i>, vol. 36, no. 9. World Scientific Publishing, 2024. 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> S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics 36 (2024). 145422023-11-15T23:48:14Z2026-04-07T13:01:40Z