The critical temperature for the BCS equation at weak coupling
classification
❄️ cond-mat.supr-con
cond-mat.othermath-phmath.MP
keywords
lambdacriticalequationtemperatureanalysisasymptoticbehaviorconditions
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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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