English

The critical temperature for the BCS equation at weak coupling

Superconductivity 2008-02-06 v2 Other Condensed Matter Mathematical Physics math.MP

Abstract

For the BCS equation with local two-body interaction λV(x)\lambda V(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as λ0\lambda \to 0. We derive necessary and sufficient conditions on V(x)V(x) for the existence of a non-trivial solution for all values of λ>0\lambda>0.

Cite

@article{arxiv.0704.3564,
  title  = {The critical temperature for the BCS equation at weak coupling},
  author = {Rupert L. Frank and Christian Hainzl and Serguei Naboko and Robert Seiringer},
  journal= {arXiv preprint arXiv:0704.3564},
  year   = {2008}
}
R2 v1 2026-06-21T08:22:41.217Z