Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory
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...
| Main Authors: | , , , , , |
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| Format: | Journal Article |
| Language: | English |
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2018
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| Online Access: | https://hdl.handle.net/10356/90164 http://hdl.handle.net/10220/47201 |
| _version_ | 1811691956515897344 |
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| author | Wais, M. Eckstein, M. Fischer, R. Werner, P. Held, K. Battiato, Marco |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Wais, M. Eckstein, M. Fischer, R. Werner, P. Held, K. Battiato, Marco |
| author_sort | Wais, M. |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T06:28:08Z |
| format | Journal Article |
| id | ntu-10356/90164 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:28:08Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | ntu-10356/901642023-02-28T19:24:08Z Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory Wais, M. Eckstein, M. Fischer, R. Werner, P. Held, K. Battiato, Marco School of Physical and Mathematical Sciences DRNTU::Science::Physics Dynamical Mean Field Theory Quantum Boltzmann Equation 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. Published version 2018-12-26T05:51:54Z 2019-12-06T17:42:10Z 2018-12-26T05:51:54Z 2019-12-06T17:42:10Z 2018 Journal Article 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 2469-9950 https://hdl.handle.net/10356/90164 http://hdl.handle.net/10220/47201 10.1103/PhysRevB.98.134312 en Physical Review B © 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: [http://dx.doi.org/10.1103/PhysRevB.98.134312]. 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. 14 p. application/pdf |
| spellingShingle | DRNTU::Science::Physics Dynamical Mean Field Theory Quantum Boltzmann Equation Wais, M. Eckstein, M. Fischer, R. Werner, P. Held, K. Battiato, Marco Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory |
| title | Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory |
| title_full | Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory |
| title_fullStr | Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory |
| title_full_unstemmed | Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory |
| title_short | Quantum Boltzmann equation for strongly correlated systems : comparison to dynamical mean field theory |
| title_sort | quantum boltzmann equation for strongly correlated systems comparison to dynamical mean field theory |
| topic | DRNTU::Science::Physics Dynamical Mean Field Theory Quantum Boltzmann Equation |
| url | https://hdl.handle.net/10356/90164 http://hdl.handle.net/10220/47201 |
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