English

Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach

Strongly Correlated Electrons 2013-03-05 v2 Mesoscale and Nanoscale Physics

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 non-equilibrium 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 non-equilibrium 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 non-equilibrium density of states.

Keywords

Cite

@article{arxiv.1210.4167,
  title  = {Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach},
  author = {Enrico Arrigoni and Michael Knap and Wolfgang von der Linden},
  journal= {arXiv preprint arXiv:1210.4167},
  year   = {2013}
}

Comments

Accepted for publication in Phys. Rev. Lett. Final version including supplemental material

R2 v1 2026-06-21T22:22:09.320Z