Crossover of conductance and local density of states in a single-channel disordered quantum wire

TL;DR

This paper investigates how the probability distributions of conductance and local density of states in a single-channel disordered quantum wire change as the system transitions between different symmetry classes, providing an approximate model for this crossover.

Contribution

An approximate ansatz is proposed to describe the crossover of conductance and LDOS distributions between chiral and standard symmetry classes in a disordered quantum wire.

Findings

The ansatz accurately describes the crossover behavior.

Comparison with previous large-deviation ansatz validates the approach.

Results enhance understanding of symmetry class effects on mesoscopic transport.

Abstract

The probability distribution of the mesoscopic local density of states (LDOS) for a single-channel disordered quantum wire with chiral symmetry is computed in two different geometries. An approximate ansatz is proposed to describe the crossover of the probability distributions for the conductance and LDOS between the chiral and standard symmetry classes of a single-channel disordered quantum wire. The accuracy of this ansatz is discussed by comparison with a large-deviation ansatz introduced by Schomerus and Titov in Phys. Rev. B \textbf{67}, 100201(R) (2003).