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Physical review. B, Condensed matter

Superconductivity in the dilute electron gas

S. Küchenhoff, P. Wölfle

Published Jul 1, 1988• 18 citations
Publisher

Abstract

We determine the effective interaction of quasiparticles on the Fermi surface for the electron gas in a rigid positive background. The quasiparticle scattering amplitude is calculated from the two coupled Bethe-Salpeter equations for the two-particle vertex functions in the particle-hole ($p\ensuremath{-}h$) channels for densities from ${r}_{s}=1$ to ${r}_{s}=37$. The density and spin-density mean fields are fitted to the compressibility and spin susceptibility of Green's-function Monte Carlo calculations and the local-field factors $G(q)$ of microscopic models. We find $p$-wave superconductivity for $10<{r}_{s}<35$ and $s$-wave superconductivity for ${r}_{s}>35$.

DOI
10.1103/physrevb.38.935

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