Localization Effects on Bulk Superconductivity in Weakly Localized Regime

Effects of localization on the critical temperature and the upper critical field have been examined for bulk superconductors in the weakly localized regime, i.e. ε F τ≫1; ε F and τ being the Fermi energy and the life time, respectively. The life time is assumed to be short so that τ -1 >ω D ; ω D being the Debye frequency, and modifications of density of states and renormalization of effective Coulomb interaction have been investigated by perturbation to the order of ( ε F τ) -2 . The results indicate that there exists appreciable suppression of the critical temperature even in the weakly localized regime.