Mott transition in the Hubbard model away from particle-hole symmetry

TL;DR

This paper uses advanced numerical methods to analyze the Hubbard model away from particle-hole symmetry, revealing coexistence regions and optical properties in strongly correlated electron systems.

Contribution

It introduces a precise DMRG-based approach to solve DMFT equations for the Hubbard model with finite doping, mapping coexistence boundaries.

Findings

Identified coexistence region boundaries in the doped Hubbard model.

Calculated frequency-dependent optical conductivity spectra.

Demonstrated the accuracy of the DMRG method in this context.

Abstract

We solve the Dynamical Mean Field Theory equations for the Hubbard model away from the particle-hole symmetric case using the Density Matrix Renormalization Group method. We focus our study on the region of strong interactions and finite doping where two solutions coexist. We obtain precise predictions for the boundaries of the coexistence region. In addition, we demonstrate the capabilities of this precise method by obtaining the frequency dependent optical conductivity spectra.