Renormalization Group Approach to the Coulomb Pseudopotential for C_{60}

Abstract

A numerical renormalization group technique recently developed by one of us is used to analyse the Coulomb pseudopotential (${μ^*}$) in ${{\rm C}_{60}}$ for a variety of bare potentials. We find a large reduction in ${μ^*}$ due to intraball screening alone, leading to an interesting non-monotonic dependence of ${μ^*}$ on the bare interaction strength. We find that ${μ^*}$ is positive for physically reasonable bare parameters, but small enough to make the electron-phonon coupling a viable mechanism for superconductivity in alkali-doped fullerides. We end with some open problems.