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arXiv · 1511.01995

The BCS functional of superconductivity and its mathematical properties

Christian Hainzl·Robert Seiringer
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Abstract

We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers partly in collaboration with R. Frank, E. Hamza, S. Naboko, and J.P. Solovej. Our discussion includes, in particular, an investigation of the critical temperature for a general class of interaction potentials, as well as a study of its dependence on external fields. We shall explain how the Ginzburg-Landau model can be derived from the BCS theory in a suitable parameter regime.

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Christian Hainzl, Robert Seiringer. 2015-11-06. The BCS functional of superconductivity and its mathematical properties. https://doi.org/10.1063/1.4941723

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