Nonequilibrium perturbation theory of the spinless Falicov-Kimball model

Abstract

We perform a perturbative analysis for the nonequilibrium Green functions of the spinless Falicov-Kimball model in the presence of an arbitrary external time-dependent but spatially uniform electric field. The conduction electron self-energy is found from a strictly truncated second-order perturbative expansion in the local electron-electron repulsion U. We examine the current at half-filling, and compare to both the semiclassical Boltzmann equation and exact numerical solutions for the contour-ordered Green functions from a transient-response formalism (in infinite dimensions) on the Kadanoff-Baym-Keldysh contour. We find a strictly truncated perturbation theory in the two-time formalism cannot reach the long-time limit of the steady state; instead it illustrates pathological behavior for times larger than approximately 2/U.

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• Initial correlations in nonequilibrium Falicov-Kimball model
• Quasi-universal transient behavior of a nonequilibrium Mott insulator driven by an electric field
• Nonequilibrium charge transport through Falicov-Kimball structures connected to metallic leads
• Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model
• Electronic transport through correlated electron systems with nonhomogeneous charge orderings
• Charge density wave breakdown in a heterostructure with electron-phonon coupling