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Title: Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory
Authors: Wais, M.
Eckstein, M.
Fischer, R.
Werner, P.
Held, K.
Battiato, Marco
Keywords: DRNTU::Science::Physics
Dynamical Mean Field Theory
Quantum Boltzmann Equation
Issue Date: 2018
Source: Wais, M., Eckstein, M., Fischer, R., Werner, P., Battiato, M., & Held, K. (2018). Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory. Physical Review B, 98(13), 134312-. doi: 10.1103/PhysRevB.98.134312
Series/Report no.: Physical Review B
Abstract: We investigate the potential of a quantum Boltzmann equation without momentum conservation for description of strongly correlated electron systems out of equilibrium. In a spirit similar to dynamical mean field theory (DMFT), the momentum conservation of the electron-electron scattering is neglected, which yields a time-dependent occupation function for the equilibrium spectral function, even in cases where well-defined quasiparticles do not exist. The main assumption of this method is that the spectral function remains sufficiently rigid under the nonequilibrium evolution. We compare the result of the quantum Boltzmann equation to nonequilibrium DMFT simulations for the case of photocarrier relaxation in Mott insulators, where processes on very different timescales emerge, i.e., impact ionization, intra-Hubbard-band thermalization, and full thermalization. Since quantum Boltzmann simulations without momentum conservation are computationally cheaper than nonequilibrium DMFT, this method allows the simulation of more complicated systems or devices, and to access much longer times.
ISSN: 2469-9950
DOI: 10.1103/PhysRevB.98.134312
Rights: © 2018 American Physical Society. This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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