Non-equilibrium inhomogeneous DMFT for correlated Heterostructures: Auxiliary Master Approach

The recent impressive experimental progress in tailoring different microscopically controlled quantum objects has prompted increasing interest in correlated systems out of equilibrium. Of particular importance are correlated heterostructures, quantum wires and quantum dots with atomic resolution. In this work we present results for the steady state spectral function and current-voltage characteristics for a system consisting of several monoatomic layers of correlated orbitals, attached to two metallic leads. The non-equilibrium situation is driven by a bias-voltage applied to the leads. To investigate the system we generalize a recently introduced dynamical mean-field theory (DMFT) based theoretical scheme [1] for the multilayer case. Specifically, the approach addresses the DMFT impurity problem within an auxiliary system consisting of a correlated impurity, a small number of uncorrelated bath sites and two Markovian environments described by a generalized Master equation [1,2,3].

[1] E. Arrigoni et al., PRL 110, 086403 (2013)

[2] A. Dorda et al., PRB 89, 165105 (2014)

[3] I. Titvinidze et al., arxiv:1508.02953