Effect of Particle-Hole Asymmetry on the Mott-Hubbard Metal-Insulator Transition

TL;DR

This paper investigates how particle-hole asymmetry influences the Mott-Hubbard metal-insulator transition, revealing key differences from symmetric cases and enhancing understanding of real material behaviors.

Contribution

It extends the study of the metal-insulator transition to particle-hole asymmetric systems using the Falicov-Kimball model, highlighting the effects of finite bandwidth.

Findings

Features of the transition change with finite bandwidth.

Particle-hole asymmetry impacts the self-energy behavior.

Results are relevant for real materials with broken symmetry.

Abstract

The Mott-Hubbard metal-insulator transition is one of the most important problems in correlated electron systems. In the past decade, much progress has been made on examining a particle-hole symmetric form of the transition in the Hubbard model with dynamical mean field theory where it was found that the electronic self energy develops a pole at the transition. We examine the particle-hole asymmetric metal-insulator transition in the Falicov-Kimball model, and find that a number of features change when the noninteracting density of states has a finite bandwidth. Since, generically particle-hole symmetry is broken in real materials, our results have an impact on understanding the metal-insulator transition in real materials.