Realistic model of correlated disorder and Anderson localization

TL;DR

This paper models a 1D or 2D conducting system influenced by long-range correlated disorder from dipole-induced electric fields, showing that such correlations affect localization length but do not eliminate Anderson localization.

Contribution

It introduces a realistic model of correlated disorder from dipoles affecting Anderson localization in low-dimensional systems.

Findings

Correlated disorder modifies the localization length in 1D systems.

Anderson localization remains robust despite long-range correlations.

The model captures realistic impurity-induced electric field effects.

Abstract

A conducting 1D chain or 2D film inside (or on the surface of) an insulator is considered. Impurities displace the charges inside the insulator. This results in a long-range fluctuating electric field acting on the conducting line (plane). This field can be modeled by that of randomly distributed electric dipoles. This model provides a random correlated potential with <U(r)U(r+k)> \propto 1/k. In the 1D case such correlations may essentially influence the localization length but do not destroy Anderson localization.