Correlation-Strength Driven Anderson Metal-Insulator Transition

TL;DR

This paper investigates how varying the correlation exponent in scale-free disorder can induce an Anderson metal-insulator transition, using numerical methods to analyze localization properties and critical behavior.

Contribution

It introduces a numerical approach to identify the critical correlation exponent and critical exponent for the transition driven by disorder correlations.

Findings

Critical correlation exponent identified for the transition

Localization length analysis confirms phase change

Finite-size scaling yields critical exponents

Abstract

The possibility of driving an Anderson metal-insulator transition in the presence of scale-free disorder by changing the correlation exponent is numerically investigated. We calculate the localization length for quasi-one-dimensional systems at fixed energy and fixed disorder strength using a standard transfer matrix method. From a finite-size scaling analysis we extract the critical correlation exponent and the critical exponent characterizing the phase transition.