Realistic model of correlated disorder and Anderson localization

TL;DR

This paper models correlated disorder in low-dimensional conductors using a long-range electric field from dipoles, showing that correlations affect localization length but do not eliminate Anderson localization.

Contribution

It introduces a realistic model of correlated disorder based on electric dipoles and analyzes its impact on Anderson localization in 1D and 2D systems.

Findings

Correlations modify the localization length in 1D systems.

Anderson localization persists despite correlated disorder.

The potential correlation decays as 1/k with distance.

Abstract

A conducting 1D line or 2D plane 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)> decaying as 1/k . In the 1D case such correlations give essential corrections to the localization length but do not destroy Anderson localization.