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Wednesday, 20. February 2013 12:53 Age: 10 yrs

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

Category: Scientific Highlights

Published in Physical Review Letters

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.

 

Figure 1

Figure: Schematic representation of the system at study.

Arrigoni E., Knap M., von der Linden W. (2013), Nonequilibrium Dynamical Mean-Field Theory: An Auxiliary Quantum Master Equation Approach, Phys. Rev. Lett. 110, 086403. DOI:10.1103/PhysRevLett.110.086403, openAccess

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