Anderson localization on Falicov-Kimball model with next-nearest-neighbor hopping and long-range correlated disorder

TL;DR

This paper investigates how next-nearest-neighbor hopping and long-range correlated disorder influence Anderson localization in the Falicov-Kimball model, revealing that increased correlated disorder diminishes the extended electronic phase.

Contribution

It introduces a detailed phase diagram analysis incorporating long-range correlated disorder and next-nearest-neighbor hopping within the dynamical mean-field theory framework.

Findings

Correlated disorder reduces the extended phase.

Next-nearest-neighbor hopping affects localization properties.

Long-range correlations mimic effects of random disorder.

Abstract

The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory for the Anderson-Falicov-Kimball model with nearest-neighbors and next-nearest-neighbors hopping. The half-filled band is analyzed in terms of the chemical potential of the system using the geometric and arithmetic averages. We also introduce the on-site energies exhibiting a long-range correlated disorder, which generates a system with similar characteristics as the one created by a random independent variable distribution. A decrease in the correlated disorder reduces the extended phase.