Fermi-Surface Topology and Superconductivity Induced by Jahn-Teller Phonons

Abstract

We discuss emergence of superconductivity in a two-dimensional eg-electron system coupled with Jahn-Teller phonons in the framework of the Migdal-Eliashberg theory. Here we focus on the dependence of superconducting transition temperature Tc on the Fermi-surface structure controlled by the Slater-Koster integrals of eg-electron hopping. When the Fermi-surface structure is abruptly changed, in general, there appears the van Hove singularity in the density of states, leading to the enhancement of Tc. In addition to it, for the superconductivity induced by Jahn-Teller phonons, we also observe the increase of Tc apart from the van Hove singularity point, when the eg-electron system exhibits disconnected Fermi surfaces. Even for the pocket-like Fermi-surface structure, we find the relatively high Tc in comparison with the case of single Fermi surface. This is understood by the fact that the pair-hopping attraction between Cooper pairs on different Fermi surfaces is enhanced by Jahn-Teller phonons.