Random-matrix approach to the quantum-transport theory of disordered conductors

Abstract

We show how high-order quantum peturbative corrections to transport properties of disordered conductors can be systematically evaluated in the metallic regime by means of random transfer-matrix theory. Effects of strong spin-orbit coupling and applied magnetic field are taken into acount. We obtain explicit expressions for the first, second, and third cumulants of the conductance and shot-noise power. Formulas for the variance and third cumulant of an arbitrary linear statistic are obtained.