Quantum Boltzmann equation for strongly correlated systems: Comparison to dynamical mean field theory

Wais, Michael
Institute of Solid State Physics, Technische Universität Wien, Vienna, Austria

Eckstein, Martin
Department of Physics, University of ErlangenNürnberg, Germany

Fischer, R.
Institute of Solid State Physics, Technische Universität Wien, Vienna, Austria

Werner, Philipp
Department of Physics, University of Fribourg, Switzerland

Battiato, M.
Nanyang Technological University, Singapore, Singapore

Held, K.
Institute of Solid State Physics, Technische Universität Wien, Vienna, Austria
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Published in:
 Physical Review B.  2018, vol. 98, no. 13, p. 134312
English
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 electronelectron scattering is neglected, which yields a timedependent 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, intraHubbardband 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.

Faculty
 Faculté des sciences et de médecine

Department
 Département de Physique

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Physics

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https://folia.unifr.ch/unifr/documents/307505
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