Transport properties of low-dimensional mesoscopic conductors: interplay of disorder, interaction and fluctuation effects.

Abstract

Transport properties of low–dimensional mesoscopic conductors are studied systematically based on the Keldysh technique, which is the most powerful theoretical framework developed for the description of interacting and out–of–equilibrium fermionic and bosonic systems. The emphasis is placed on a functional integral representation of the underlying microscopic models. A large part of the dissertation is devoted to derivation and applications of the non–linear sigma–model for disordered systems. The studies of kinetics in the normal metals include following topics: transport coefficients, mesoscopic effects, shot noise and full counting statistics, interaction corrections, kinetic equation and Coulomb drag. Chapters devoted to the disordered superconductors include: Usadel and kinetic equations, fluctuation corrections, time–dependent Ginzburg–Landau theory, proximity related phenomena, Josephson current noise, weak localization and magnetoconductivity at the onset of superconducting transition.