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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: Theoretical Aspects of Condensed Matter II

MP 9.4: Talk

Wednesday, March 20, 2024, 10:50–11:10, HL 102

Boundary Superconductivity in BCS Theory — •Barbara Roos¹ and Robert Seiringer² — ¹University of Tübingen, Germany — ²ISTA, Klosterneuburg, Austria

We study the BCS theory of superconductivity for systems with a boundary. It has been observed numerically, that in BCS theory superconductivity persists at higher temperatures at the boundary than in the bulk. We give a rigorous proof that the BCS critical temperature increases in the presence of an interface in dimensions one, two and three, at least at weak coupling.

Keywords: Superconductivity; BCS theory; critical temperature