The critical temperature for the BCS equation at weak coupling

Details The critical temperature for the BCS equation at weak coupling The critical temperature for the BCS equation at weak coupling

2007-04-26

arxiv.org/abs/0704.3564v2

J. Geom. Anal. 17, 559-568 (2007)

Physics

Condensed Matter

Superconductivity

Revised Version. To appear in J. Geom. Anal

Scientific paper

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

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