Localization Effects in Two-Dimensional Superconductors

Abstract

Effects of localization on two-dimensional superconductors have been investigated by taking into account quantum corrections to the theory of dirty superconductors in the order of (ε_Fτ₀)⁻¹ where ε_F and τ₀ are the Fermi energy and the relaxation time of an electron, respectively. The mean field superconducting transition temperature is seen to be reduced by localization. This is because the Coulomb repulsive interaction is enhanced and the density of states of electrons is depressed in dirty systems. Recent experiments by Kobayashi et al. on granular films of tin are discussed in this context.