The BCS Critical Temperature at High Density

Joscha Henheik

doi:10.1007/s11040-021-09415-0

The BCS Critical Temperature at High Density

Math Phys Anal Geom. 2022;25(1):3. doi: 10.1007/s11040-021-09415-0. Epub 2022 Jan 11.

Author

Joscha Henheik¹

Affiliation

¹ IST Austria, Am Campus 1, 3400 Klosterneuburg, Austria.

Abstract

We investigate the BCS critical temperature $T_{c}$ 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 $T_{c}$ 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.

Keywords: BCS theory; Critical temperature; Superconducting domes.