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arxiv cond-mat/0503512 v2 pith:7TOMHQ64 submitted 2005-03-20 cond-mat.supr-con

Condensation energy in Eliashberg theory -- from weak to strong coupling

Evelina Tsoncheva , Andrey V. Chubukov This is my paper
classification cond-mat.supr-con
keywords condensationenergycouplingeliashbergfirstinteractionlambdapairing
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We consider two issues related to the condensation energy in superconductors described by the Eliashberg theory for various forms of the pairing interaction, associated either with phonon or electronic mechanisms of superconductivity. First, we derive a leading correction to the BCS formula for the condensation energy to first order in the coupling $\lambda$. Second, we show that at a given $\lambda$, the value of the condensation energy strongly depends on the functional form of the effective pairing interaction $\Gamma (\omega)$.

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  1. Migdal-Eliashberg and SUS-$Y^2$-SYK

    cond-mat.str-el 2026-05 unverdicted novelty 2.0

    This note assesses the Migdal-Eliashberg approximation in the Schwinger-Dyson gap equation against variants of the Yukawa-SYK model and comments on pseudo-holographic aspects of fermion pairing.