Spreading of correlations in the Falicov-Kimball model
- Herrmann, Andreas J. Department of Physics, University of Fribourg, Switzerland
- Antipov, Andrey E. Station Q, Microsoft Research, Santa Barbara, Cal USA
- Werner, Philipp Department of Physics, University of Fribourg, Switzerland
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05.04.2018
Published in:
- Physical Review B. - 2018, vol. 97, no. 16, p. 165107
English
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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Physique
- Language
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- English
- Classification
- Physics
- License
- License undefined
- Identifiers
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- RERO DOC 309116
- DOI 10.1103/PhysRevB.97.165107
- Persistent URL
- https://folia.unifr.ch/unifr/documents/306579
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