Scaling of Coulomb pseudo-potential in s-wave narrow-band superconductors

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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5 pages, 3 figures, accepted for publication by Phys. Rev. B

Scientific paper

10.1103/PhysRevB.65.052504

The Coulomb pseudo-potential $\mu^*$ is extracted by fitting the numerically calculated transition temperature $T_c$ of the Eliashberg-Nambu equation which is extended to incorporate the narrow-band effects, that is, the vertex correction and the frequency dependence of the screened Coulomb interaction. It is shown that even for narrow-band superconductors, where the fermi energy $ \epsilon_F$ is comparable with the phonon frequency $ \omega_{ph}$, the Coulomb pseudo-potential is a pertinent parameter, and is still given by $\mu^* = \mu/[1+\mu \ln(\epsilon_F/\omega_{ph})] $, provided $\omega_{ph}$ is appropriately scaled.

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