Enhanced Superconductivity at a Corner for the Linear BCS Equation

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.

arXiv comment36 pages, 1 figure; published version

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Cited by in corpus (1)

• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors