Enhanced superconductivity at a corner for the linear BCS equation

Roos, Barbara  ; Seiringer, Robert 

Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e71

Résumé

We consider the critical temperature for superconductivity, defined via the linear BCS equation. We prove that at weak coupling the critical temperature for a sample confined to a quadrant in two dimensions is strictly larger than the one for a half-space, which in turn is strictly larger than the one for $\mathbb {R}^2$. Furthermore, we prove that the relative difference of the critical temperatures vanishes in the weak coupling limit.

Détail

DOI : 10.1017/fms.2024.145

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