Impurity problems for steady-state nonequilibrium dynamical mean-field theory

Details Impurity problems for steady-state nonequilibrium dynamical mean-field theory Impurity problems for steady-state nonequilibrium dynamical mean-field theory

2009-02-24

arxiv.org/abs/0902.4055v1

Physica E 42, 520 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

(7 pages, proceedings of the Frontiers of Quantum and Mesoscopic Thermodynamics 2008, conference)

Scientific paper

10.1016/j.physe.2009.06.036

The mapping of steady-state nonequilibrium dynamical mean-field theory from the lattice to the impurity is described in detail. Our focus is on the case with current flow under a constant dc electric field of arbitrary magnitude. In addition to formulating the problem via path integrals and functional derivatives, we also describe the distribution function dependence of the retarded and advanced Green's functions. Our formal developments are exact for the Falicov-Kimball model. We also show how these formal developments are modified for more complicated models (like the Hubbard model).

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