The critical temperature for the BCS equation at weak coupling

2007/04/30 by Rupert L. Frank, Christian Hainzl, Serguei Naboko +1 · 1 citation
Physics and Astronomy · Mathematics · #cond-mat.supr-con #cond-mat.other #math-ph #math.MP

paper · pdf

published as J. Geom. Anal. 17, 559-568 (2007) · Revised Version. To appear in J. Geom. Anal

arxiv created 2007/10/24 · arxiv updated 2009/12/01

Abstract

For the BCS equation with local two-body interaction λV(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as λ→ 0. We derive necessary and sufficient conditions on V(x) for the existence of a non-trivial solution for all values of λ>0.

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