Steady-state nonequilibrium density of states of driven strongly correlated lattice models in infinite dimensions

TL;DR

This paper develops an exact formalism within dynamical mean-field theory to calculate the nonequilibrium density of states of strongly correlated lattice models under electric fields, demonstrated on the Hubbard model.

Contribution

It introduces a new method for calculating Green's functions in nonequilibrium conditions for strongly correlated systems in infinite dimensions.

Findings

Successfully computed the nonequilibrium density of states for the Hubbard model.

Demonstrated the method in both metallic and Mott insulating phases.

Applicable to a wide class of strongly correlated lattice models.

Abstract

The formalism for exactly calculating the retarded and advanced Green's functions of strongly correlated lattice models in a uniform electric field is derived within dynamical mean-field theory. To illustrate the method, we solve for the nonequilibrium density of states of the Hubbard model in both the metallic and Mott insulating phases at half-filling (with an arbitrary strength electric field) by employing the numerical renormalization group as the impurity solver. This general approach can be applied to any strongly correlated lattice model in the limit of large dimensions.