The Role of Power-Law Correlated Disorder in the Anderson Metal-Insulator Transition

TL;DR

This paper investigates how scale-free correlated disorder affects the Anderson metal-insulator transition using transfer matrix methods and finite-size scaling to analyze localization properties and phase diagrams.

Contribution

It introduces a detailed analysis of correlated disorder's impact on the transition, including effects on critical exponents and phase diagram structure.

Findings

Correlated disorder modifies the phase diagram of the Anderson transition.

Critical exponents are influenced by the nature of the disorder correlations.

The density of states reveals changes due to scale-free correlations.

Abstract

We study the influence of scale-free correlated disorder on the metal-insulator transition in the Anderson model of localization. We use standard transfer matrix calculations and perform finite-size scaling of the largest inverse Lyapunov exponent to obtain the localization length for respective 3D tight-binding systems. The density of states is obtained from the full spectrum of eigenenergies of the Anderson Hamiltonian. We discuss the phase diagram of the metal-insulator transition and the influence of the correlated disorder on the critical exponents.