Nonequilibrium dynamical mean-field simulation of inhomogeneous systems

Nonequilibrium dynamical mean-field theory.

The many-body formalism for dynamical mean-field theory is extended to treat nonequilibrium problems. We illustrate how the formalism works by examining the transient decay of the oscillating current that is driven by a large electric field turned on at time t=0. We show how the Bloch oscillations are quenched by the electron-electron interactions, and how their character changes dramatically f...

Nonequilibrium dynamical mean-field theory

Current biasing a multilayered device as a boundary condition for inhomogeneous nonequilibrium dynamical mean-field theory

Recently, nonequilibrium dynamical mean-field theory was developed as a new technique to solve the bulk nonequilibrium many-body problem. The computational effort needed to solve the nonequilibrium problem in the bulk is similar to the efforts needed to solve the inhomogeneous multilayered problem for current flow perpendicular to the planes. Because the leads provide the appropriate boundary c...

Nonequilibrium dynamical mean-field theory of strongly correlated electrons

We present a review of our recent work in extending the successful dynamical mean-field theory from the equilibrium case to nonequilibrium cases. In particular, we focus on the problem of turning on a spatially uniform, but possibly time varying, electric field (neglecting all magnetic field effects). We show how to work with a manifestly gauge-invariant formalism, and compare numerical calcula...

Impurity problems for steady-state nonequilibrium dynamical mean-field theory

The mapping of steady-state nonequilibrium dynamical mean-field theory from the lattice to the impurity is described in detail. Our focus is on the case with current flow under a constant dc electric field of arbitrary magnitude. In addition to formulating the problem via path integrals and functional derivatives, we also describe the distribution function dependence of the retarded and advance...