The Bardeen-Cooper-Schrieffer functional of superconductivity and its mathematical properties

被引：34

作者：

Hainzl, C. ^{[1
]}

Seiringer, R. ^{[2
]}

机构：

[1] Univ Tubingen, Math Inst, Morgenstelle 10, D-72076 Tubingen, Germany

[2] IST Austria, Campus 1, A-3400 Klosterneuburg, Austria

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 02期

关键词：

LOW-DENSITY LIMIT; MICROSCOPIC DERIVATION; CRITICAL-TEMPERATURE; BOUND-STATE; BCS; OPERATORS; CONDENSATION; EQUATION; WEAK;

D O I：

10.1063/1.4941723

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2016 AIP Publishing LLC.

引用

页数：46

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