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

C. Hainzl, R. Seiringer
2016 Journal of Mathematical Physics  
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
more » ... erived from the BCS theory in a suitable parameter regime.
doi:10.1063/1.4941723 fatcat:5wfaynvjgrav7dgkyq4wjul6ye