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arXiv · 2308.07115

Enhanced Superconductivity at a Corner for the Linear BCS Equation

Barbara Roos·Robert Seiringer
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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.

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Barbara Roos, Robert Seiringer. 2023-08-14. Enhanced Superconductivity at a Corner for the Linear BCS Equation. https://doi.org/10.1017/fms.2024.145

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