Mott-Hubbard and Anderson metal-insulator transitions in correlated lattice fermions with binary disorder

TL;DR

This paper explores how binary disorder and strong correlations influence metal-insulator transitions in lattice fermions, revealing a phase diagram with metallic, Anderson-Mott insulating, and band insulating states.

Contribution

It introduces a comprehensive phase diagram for correlated lattice fermions with binary disorder using statistical dynamical mean-field theory, combining disorder and correlation effects.

Findings

Identification of disordered correlated metal phase

Mapping of Anderson-Mott insulator region

Determination of band insulator state

Abstract

Strongly correlated fermions in a crystal or in an optical lattice in the presence of binary alloy disorder are investigated. We employ the statistical dynamical mean-field theory, which incorporates both, local fluctuations due to disorder and local correlations due to interaction, to solve the Anderson-Hubbard model. Localization due to disorder is studied by means of the probability distribution function of the local density of states. We obtain a complete paramagnetic ground state phase diagram consisting of disordered correlated metal, Anderson-Mott insulator, and band insulator.