Random-Matrix Theory of Quantum Transport

TL;DR

This paper reviews the application of random-matrix theory to quantum transport phenomena in mesoscopic systems, covering various effects like conductance fluctuations, localization, and noise.

Contribution

It provides a comprehensive overview of how random-matrix theory models phase-coherent conduction in mesoscopic quantum systems, integrating multiple phenomena.

Findings

Unified framework for quantum transport phenomena

Analysis of conductance fluctuations and localization effects

Insights into shot noise and Josephson junction oscillations

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.