Impurity model for non-equilibrium steady states

Abstract

We propose an out-of-equilibrium impurity model for the dynamical mean-field description of the Hubbard model driven by a finite electric field. The out-of-equilibrium impurity environment is represented by a collection of equilibrium reservoirs at different chemical potentials. We discuss the validity of the impurity model and propose a non-perturbative method, based on a quantum Monte Carlo solver, which provides the steady-state solutions of the impurity and original lattice problems. We discuss the relevance of this approach to other non-equilibrium steady-state contexts.

5 pages, 4 figures

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• Out of equilibrium dynamics of classical and quantum complex systems
• Energy dissipation in DC-field driven electron lattice coupled to fermion baths
• Landau Theory for Non-Equilibrium Steady States
• Nonequilibrium distribution functions for quantum transport: universality and approximation for the steady state regime
• Non-equilibrium quantum transport through a dissipative resonant level
• Electrically driven insulator-to-metal transition in a correlated insulator: Electronic mechanism and thermal description
• Auxiliary master equation approach within stochastic wave functions: Application to the Interacting Resonant Level Model
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Non-equilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model