Fluctuations in quantum one-dimensional thermostatted systems with off-diagonal disorder

TL;DR

This paper studies how off-diagonal disorder in a one-dimensional quantum system influences transmission properties, revealing fluctuation behaviors and proposing a method to detect tunneling resonances.

Contribution

It introduces a detailed analysis of transmission fluctuations in disordered quantum chains and proposes an efficient detection method for tunneling resonances.

Findings

Disorder and temperature affect transmission coefficients.

Fluctuation structures vary with system size.

Tunneling resonances can be effectively detected.

Abstract

We analyze a one dimensional quantum model with off-diagonal disorder, consisting of a sequence of potential energy barriers whose width is a random variable either uniformly or normally distributed. We investigate how the disorder and the energy distribution (due to a thermostat at room temperature) affect the resulting value of the transmission coefficient, and discuss the structure of the fluctuations of such coefficient at different length scales and the onset of different size-dependent regimes. Our analysis suggests an efficient way to detect tunneling resonances in a regime of off-diagonal disorder.