article The BCS critical temperature at high density published yes Sven Joscha Henheik author 31d731d7-d235-11ea-ad11-b50331c8d7fb0000-0003-1106-327X GradSch department LaEr department Random matrices beyond Wigner-Dyson-Mehta project IST Austria Open Access Fund project 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. https://research-explorer.ista.ac.at/download/10623/10624/2022_MathPhyAnalGeo_Henheik.pdf application/pdfno Springer Nature2022 eng geometry and topologymathematical physics Mathematical Physics, Analysis and Geometry 1385-0172 1572-9656 2106.02015 00074138760000110.1007/s11040-021-09415-0 251 https://research-explorer.ista.ac.at/record/19540 Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 25(1), 3. 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> 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>. S. J. Henheik, “The BCS critical temperature at high density,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1. Springer Nature, 2022. 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>. 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> S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022). 106232022-01-13T15:40:53Z2026-04-07T12:37:10Z