Nonequilibrium Dynamical Cluster Approximation study of the Falicov-Kimball Model

Abstract

We use a nonequilibrium implementation of the dynamical cluster approximation (DCA) to study the effect of short-range correlations on the dynamics of the two-dimensional Falicov-Kimball model after an interaction quench. As in the case of single-site dynamical mean field theory, thermalization is absent in DCA simulations, and for quenches across the metal-insulator boundary, nearest-neighbor charge correlations in the nonthermal steady state are found to be larger than in the thermal state with identical energy. We investigate to what extent it is possible to define an effective temperature of the trapped state after a quench. Based on the ratio between the lesser and retarded Green's function we conclude that a roughly thermal distribution is reached within the energy intervals corresponding to the momentum-patch dependent subbands of the spectral function. The effectively different chemical potentials of these distributions however lead to a very hot, or even negative, effective temperature in the energy intervals between these subbands.

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• Interpretable and unsupervised phase classification
• Nonequilibrium Steady States and Resonant Tunneling in Time-Periodically Driven Systems with Interactions
• Ultra-fast control of magnetic relaxation in a periodically driven Hubbard model
• Effects of frustration on the nonequilibrium dynamics of photo-excited lattice systems
• The one-dimensional Long-Range Falikov-Kimball Model: Thermal Phase Transition and Disorder-Free Localisation
• Spreading of correlations in the Falicov-Kimball model
• 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
• Enforcing conservation laws in nonequilibrium cluster perturbation theory