Superconducting Transition Temperature of Dirty Thin Wires in Weakly Localized Regime

Abstract

Effect of electron localization through the dynamically screened Coulomb interaction on the superconducting transition temperature T_c is investigated in the weakly localized regime for dirty thinmetallic wires. T_c is reduced in proportion inversely to the diameter. The effect is larger than for films because of the stronger infrared divergence of the one-dimensional Coulomb interaction.