The BCS Critical Temperature at High Density

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, Triola, and Balatsky (Phys. Rev. Lett. 122, 2019) and identify precise conditions under which superconducting domes arise in BCS theory.

24 pages; final version

References in corpus (6)

• Critical Temperature and Energy Gap for the BCS Equation
• The BCS Functional for General Pair Interactions
• The BCS Critical Temperature for Potentials with Negative Scattering Length
• Weak coupling limit for Schrödinger-type operators with degenerate kinetic energy for a large class of potentials
• The BCS Energy Gap at High Density
• The BCS Energy Gap at Low Density

Cited by in corpus (2)

• The BCS Energy Gap at High Density
• Universality in low-dimensional BCS theory