Fluctuations of Transmission Distribution in Disordered Conductors

TL;DR

This paper introduces a microscopic method to analyze transmission fluctuations in disordered conductors, linking Green's functions and random matrix theory, revealing universal eigenvalue correlations and constraining future quantum transport theories.

Contribution

It presents a novel microscopic approach that connects Green's function and random matrix theories for transmission fluctuations in disordered conductors.

Findings

Transmission eigenvalue correlations follow Dyson statistics at small separations.

The approach simplifies computation of physical quantities.

Results impose constraints on future quantum transport theories.

Abstract

We developed a microscopic approach to calculate the sample-to-sample fluctuations of transmission distribution in disordered conductors. This bridges between Green's function and random matrix theories of quantum transport. The results obtained show that the correlations of transmission eigenvalues obey universal Dyson statistics at small separations between eigenvalues being non-universal otherwise. The results facilitate an easy computation of different physical quantities and impose important constrains on a future imaginable theory of quantum transport.