Anderson Localization in 1D Systems with Correlated Disorder

TL;DR

This paper numerically investigates how long-range and short-range correlated disorder affect Anderson localization in 1D systems, revealing distinct behaviors near the band center and edge, and comparing results with analytical models.

Contribution

It provides new numerical insights into the effects of correlated disorder on localization, highlighting differences near the band center and edge in 1D systems.

Findings

Distinct localization behaviors near band center and edge

Influence of long-range correlations on localization length

Comparison of numerical results with analytical predictions

Abstract

Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the localization length and the density of states and compare our numerical results with analytical predictions. Specifically, we find two distinct characteristic behaviors in the vicinity of the band center and at the unperturbed band edge, respectively. Furthermore we address the effect of the intrinsic short-range correlations.