Spreading of correlations in the Falicov-Kimball model

Abstract

We study dynamical properties of the one- and two-dimensional Falicov-Kimball model using lattice Monte Carlo simulations. In particular, we calculate the spreading of charge correlations in the equilibrium model and after an interaction quench. The results show a reduction of the light-cone velocity with interaction strength at low temperature, while the phase velocity increases. At higher temperature, the initial spreading is determined by the Fermi velocity of the noninteracting system and the maximum range of the correlations decreases with increasing interaction strength. Charge order correlations in the disorder potential enhance the range of the correlations. We also use the numerically exact lattice Monte Carlo results to benchmark the accuracy of equilibrium and nonequilibrium dynamical cluster approximation calculations. It is shown that the bias introduced by the mapping to a periodized cluster is substantial, and that from a numerical point of view, it is more efficient to simulate the lattice model directly.

References in corpus (2)

• Spectral properties in the charge density wave phase of the half-filled Falicov-Kimball Model
• Nonequilibrium Dynamical Cluster Approximation study of the Falicov-Kimball Model

Cited by in corpus (9)

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• Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model
• Real-time evolution of static electron-phonon models in time-dependent electric fields
• Electronic transport through correlated electron systems with nonhomogeneous charge orderings
• Unsupervised Machine Learning Phase Classification for Falicov-Kimball Model
• Effects of critical correlations on quantum percolation in two dimensions