Ensemble Averaged Conductance Fluctuations in Anderson Localized Systems

TL;DR

This paper investigates energy-dependent conductance fluctuations in Anderson localized systems, revealing how disorder distribution influences these fluctuations and their impact on quantum wire transmission at high temperatures.

Contribution

It introduces an analysis of ensemble averaged conductance fluctuations influenced by disorder distribution, providing an improved analytical expression for localization length across disorder strengths.

Findings

Binary disorder causes stronger fluctuations than Gaussian or uniform distributions.

Fluctuations persist at high temperatures in quantum wire transmission.

An improved analytical formula for localization length is derived.

Abstract

We demonstrate the presence of energy dependent fluctuations in the localization length, which depend on the disorder distribution. These fluctuations lead to Ensemble Averaged Conductance Fluctuations (EACF) and are enhanced by large disorder. For the binary distribution the fluctuations are strongly enhanced in comparison to the Gaussian and uniform distributions. These results have important implications on ensemble averaged quantities, such as the transmission through quantum wires, where fluctuations can subsist to very high temperatures. For the non-fluctuating part of the localization length in one dimension we obtained an improved analytical expression valid for all disorder strengths by averaging the probability density.