Electronic Mechanism of Superconductivity in the Cuprates, C$_{60}$, and Polyacenes

Abstract

On the basis of an analysis of theoretical and numerical studies of model systems, and of experiments on superconductivity in doped C$_{60}$, polyacenes, and the cuprate high temperature superconductors, we propose that a purely electronic mechanism of superconductivity requires structures at an intermediate or mesoscale. Specifically, we address the crucial question of how high temperature superconducting pairing on the mesoscale can arise from purely repulsive electronic interactions.