Nonequilibrium Dynamical Mean-Field Theory: An Auxiliary Quantum Master Equation Approach

2012/10/31 by Enrico Arrigoni, Michael Knap, Wolfgang von der Linden · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Density functional theory #Dynamical mean field theory #Field (mathematics) #Function (biology) #Master equation #Non-equilibrium thermodynamics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum master equation #Quantum mechanics #Statistical physics #Steady state (chemistry) #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.110.086403

published as Phys. Rev. Lett. 110, 086403 (2013) · Accepted for publication in Phys. Rev. Lett. Final version including supplemental material

arxiv created 2012/12/18 · openalex publication_date 2013/02/20 · arxiv updated 2013/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We introduce a versatile method to compute electronic steady-state properties of strongly correlated extended quantum systems out of equilibrium. The approach is based on dynamical mean-field theory (DMFT), in which the original system is mapped onto an auxiliary nonequilibrium impurity problem imbedded in a Markovian environment. The steady-state Green's function of the auxiliary system is solved by full diagonalization of the corresponding Lindblad equation. The approach can be regarded as the nontrivial extension of the exact-diagonalization-based DMFT to the nonequilibrium case. As a first application, we consider an interacting Hubbard layer attached to two metallic leads and present results for the steady-state current and the nonequilibrium density of states.

Citations

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