Work

Enhanced superconductivity at a corner for the linear BCS equation

Year: 2025

Type: article

Abstract: 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.

Source: Forum of Mathematics Sigma

DOI: 10.1017/fms.2024.145

Authors: Barbara Roos, Robert Seiringer

Institution: Institute of Science and Technology Austria

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,650

Funder: Austrian Science Fund