Metal--Insulator Transitions in the Falicov--Kimball Model with Disorder

TL;DR

This paper investigates how disorder and electron interactions influence metal-insulator transitions in the Falicov-Kimball model, revealing continuous phase changes and the interplay between different insulating states.

Contribution

It introduces a phase diagram for the disordered Falicov-Kimball model using dynamical mean-field theory and typical density of states, highlighting the continuous transitions and phase connections.

Findings

Identified correlated metal, Mott insulator, and Anderson insulator phases.

Discovered continuous metal-insulator transitions.

Showed competition between interaction and disorder stabilizes metallic phase.

Abstract

The ground state phase diagrams of the Falicov--Kimball model with local disorder is derived within the dynamical mean--field theory and using the geometrically averaged (''typical'') local density of states. Correlated metal, Mott insulator and Anderson insulator phases are identified. The metal--insulator transitions are found to be continuous. The interaction and disorder compete with each other stabilizing the metallic phase against occurring one of the insulators. The Mott and Anderson insulators are found to be continuously connected.