The BCS Energy Gap at High Density

Abstract

We study the BCS energy gap $\Xi$ in the high-density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential $V$ on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3 (2022)) on the critical temperature $T_c$ at high densities, we prove the universality of the ratio of the energy gap and the critical temperature.

20 pages; final version

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• 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
• The BCS Critical Temperature at High Density

Cited by in corpus (5)

• The BCS Critical Temperature at High Density
• Universal and nonuniversal features of Bardeen-Cooper-Schrieffer theory with finite-range interactions
• Universality in low-dimensional BCS theory
• Universality of mean-field antiferromagnetic order in an anisotropic 3D Hubbard model at half-filling
• Dynamics of mean-field Fermi systems with nonzero pairing