Conductance distribution in disordered quantum wires: Crossover between the metallic and insulating regimes

TL;DR

This paper analyzes the conductance distribution in disordered quantum wires during the transition from metallic to insulating behavior, using an analytical approach validated by numerical results.

Contribution

It introduces a comprehensive analytical method to describe conductance distribution across the metal-insulator crossover in quantum wires.

Findings

The conductance distribution evolves from insulating to metallic form with increasing disorder.

Results align with previous numerical studies and analytical calculations for mean and variance of conductance.

The method applies across all disorder strengths, providing a unified description.

Abstract

We calculate the distribution of the conductance P(g) for a quasi-one-dimensional system in the metal to insulator crossover regime, based on a recent analytical method valid for all strengths of disorder. We show the evolution of P(g) as a function of the disorder parameter from a insulator to a metal. Our results agree with numerical studies reported on this problem, and with analytical results for the average and variance of g.