Nonequilibrium dynamical mean-field theory for the charge-density-wave phase of the Falicov-Kimball model

TL;DR

This paper develops a nonequilibrium dynamical mean-field theory for the charge-density-wave phase of the Falicov-Kimball model, providing exact solutions and addressing numerical challenges in the presence of an external electric field.

Contribution

It introduces a nonequilibrium DMFT framework specifically for the charge-density-wave phase of the Falicov-Kimball model, including exact solutions and numerical methods.

Findings

Exact solution of the Falicov-Kimball model in nonequilibrium

Derivation of Green's functions on the Keldysh contour

Discussion of numerical techniques for coupled equations

Abstract

Nonequilibrium dynamical mean-field theory (DMFT) is developed for the case of the charge-density-wave ordered phase. We consider the spinless Falicov-Kimball model which can be solved exactly. This strongly correlated system is then placed in an uniform external dc electric field. We present a complete derivation for nonequilibrium dynamical mean-field theory Green's functions defined on the Keldysh-Schwinger time contour. We also discuss numerical issues involved in solving the coupled equations.