Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation

TL;DR

This study uses statistical dynamical mean-field theory to analyze the Anderson-Hubbard model with box disorder, revealing how local correlations and disorder induce metal-insulator transitions in high-dimensional lattices.

Contribution

It introduces a non-perturbative approach to treat local correlations in disordered systems and maps out the complete paramagnetic phase diagram including disorder and correlation effects.

Findings

Identification of correlation- and disorder-induced metal-insulator transitions

The probability distribution of local density of states deviates from log-normal in the metallic phase

Qualitative agreement with predictions from typical medium theory

Abstract

Strongly correlated electrons with box disorder in high-dimensional lattices are investigated. We apply the statistical dynamical mean-field theory, which treats local correlations non-perturbatively. The incorporation of a finite lattice connectivity allows for the detection of disorder-induced localization via the probability distribution function of the local density of states. We obtain a complete paramagnetic ground state phase diagram and find correlation-induced as well as disorder-induced metal-insulator transitions. Our results qualitatively confirm predictions obtained by typical medium theory. Moreover, we find that the probability distribution function of the local density of states in the metallic phase strongly deviates from a log-normal distribution as found for the non-interacting case.