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.
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页数：46
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