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Random-Matrix Theory of Quantum Transport

arXiv:cond-mat/9612179 · doi:10.1103/RevModPhys.69.731

Abstract

This is a comprehensive review of the random-matrix approach to the theory of phase-coherent conduction in mesocopic systems. The theory is applied to a variety of physical phenomena in quantum dots and disordered wires, including universal conductance fluctuations, weak localization, Coulomb blockade, sub-Poissonian shot noise, reflectionless tunneling into a superconductor, and giant conductance oscillations in a Josephson junction.

85 pages including 52 figures, to be published in Rev.Mod.Phys