Implicit renormalization approach to the problem of Cooper instability

Andrey Chubukov, Nikolay V. Prokof'Ev, Boris V. Svistunov

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1 Scopus citations


In the vast majority of cases, superconducting transition takes place at exponentially low temperature Tc out of the Fermi liquid regime. We discuss the problem of determining Tc from known system properties at temperatures T≫Tc, and stress that this cannot be done reliably by following the standard protocol of solving for the largest eigenvalue of the original gap-function equation. However, within the implicit renormalization approach, the gap-function equation can be used to formulate an alternative eigenvalue problem, where solving leads to an accurate prediction for both Tc and the gap function immediately below Tc. With diagrammatic Monte Carlo techniques, this eigenvalue problem can be solved without invoking the matrix inversion or even explicitly calculating the four-point vertex function.

Original languageEnglish (US)
Article number064513
JournalPhysical Review B
Issue number6
StatePublished - Aug 16 2019

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