RANDOM-MATRIX APPROACH TO THE QUANTUM-TRANSPORT THEORY OF DISORDERED CONDUCTORS

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