Nonequilibrium DMFT+CPA for Correlated Disordered Systems

Abstract

We present a solution for the nonequilibrium dynamics of an interacting disordered system. The approach adapts the combination of the equilibrium dynamical mean field theory (DMFT) and the equilibrium coherent potential approximation (CPA) methods to the nonequilibrium many-body formalism, using the Kadanoff-Baym-Keldysh complex time contour, for the dynamics of interacting disordered systems away from equilibrium. We use our time domain solution to obtain the equilibrium density of states of the disordered interacting system described by the Anderson-Hubbard model, bypassing the necessity for the cumbersome analytical continuation process. We further apply the nonequilibrium solution to the interaction quench problem for an isolated disordered system. Here, the interaction is abruptly changed from zero (non-interacting system) to another constant (finite) value at which it is subsequently kept. We observe via the time-dependence of the potential, kinetic, and total energies, the effect of disorder on the relaxation of the system as a function of final interaction strength. The real-time approach has the potential to shed new light on the fundamental role of disorder in the nonequilibrium dynamics of interacting quantum systems.

8 pages, 7 figures

References in corpus (6)

• Many body localization and thermalization in quantum statistical mechanics
• Anderson Transitions
• Localization of interacting fermions at high temperature
• Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
• Quenching Bloch oscillations in a strongly correlated material
• Steady-state nonequilibrium density of states of driven strongly correlated lattice models in infinite dimensions

Cited by in corpus (7)

• Dynamical mean-field approach to disordered interacting systems and applications to quantum transport problem
• Out of Time Order Correlation of the Hubbard Model with Random Local Disorder
• Impact of disorder and phonons on the Hubbard bands of Mott insulators in strong electric fields
• Disorder Enhanced Thermalization in Interacting Many-Particle System
• Mixed-configuration approximation for multiorbital systems out of equilibrium
• Electron transport in disordered insulating lattice under nonlinear electric field
• Spectral properties of disordered insulating lattice under nonlinear electric field