Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 96: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems II

TT 96.5: Talk

Thursday, April 3, 2014, 16:00–16:15, HSZ 304

Auxiliary master equation approach to nonequilibrium correlated impurities — •Antonius Dorda, Martin Nuss, Enrico Arrigoni, and Wolfgang von der Linden — Technische Universität Graz, Graz, Österreich

A theoretical scheme for the study of correlated quantum impurity problems out of equilibrium is presented, which is particularly suited to address steate steady properties within Dynamical Mean Field Theory. The approach, recently introduced in [1], is based upon a mapping of the original impurity problem to an auxiliary open quantum system consisting of the interacting impurity coupled to bath orbitals as well as to a Markovian environment. The dynamics of the auxiliary system are governed by a Lindblad master equation whose parameters are used to optimize the mapping. The accuracy of the method can be readily estimated and systematically improved by increasing the number of auxiliary bath orbitals. To solve for the Green’s functions of the auxiliary impurity problem, a non-hermitian Lanczos diagonalization is used [2]. Results for the steady state current-voltage characteristics of the single impurity Anderson model are presented and compared against data from time evolving block decimation. Furthermore, the bias dependence of the single particle spectral function and the splitting of the Kondo resonance are discussed.
E. Arrigoni et al., Phys. Rev. Lett. 110, 086403 (2013)
A. Dorda et al., in preparation