Mott--Hubbard and Anderson Transitions in Dynamical Mean--Field Theory

TL;DR

This paper investigates the Anderson--Hubbard model at half-filling using dynamical mean-field theory, comparing different averaging schemes to understand the local density of states and phase diagrams at zero temperature.

Contribution

It provides a comparative analysis of geometric and arithmetic averaging schemes within DMFT for the Anderson--Hubbard model, revealing their effects on phase diagrams.

Findings

Differences in local density of states between averaging schemes.

Variation in non-magnetic ground state phase diagrams.

Insights into Mott--Hubbard and Anderson transitions.

Abstract

The Anderson--Hubbard Hamiltonian at half--filling is investigated within dynamical mean--field theory at zero temperature. The local density of states is calculated by taking the geometric and arithmetic mean, respectively. The non--magnetic ground state phase diagrams obtained within the different averaging schemes are compared.