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

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

2005-03-20

arxiv.org/abs/cond-mat/0503512v2

Physics

Condensed Matter

Superconductivity

6 pages, 5 figures, published in PRB; missing reference has been added

Scientific paper

10.1103/PhysRevB.71.184513

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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