2015/11/06 by Christian Hainzl, C. Hainzl, Robert Seiringer +1 · 41 citations
Mathematics · Physics and Astronomy · #BCS theory #Basis (linear algebra) #Class (philosophy) #Density functional theory #Mathematical model #Mathematical theory #Physics of Superconductivity and Magnetism #Rare-earth and actinide compounds #Series (stratigraphy) #Superconductivity #Superconductivity in MgB2 and Alloys #cond-mat.supr-con #math-ph #math.MP
paper · pdf · doi:10.1063/1.4941723
published in Journal of Mathematical Physics 57(2) (American Institute of Physics) · 54 pages
arxiv created 2015/11/06 · openalex publication_date 2016/02/01 · openalex created_date 2016/06/24 · arxiv updated 2016/09/29 · openalex updated_date 2026/08/05
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.