Stochastic semiclassical theory for nonequilibrium electron-phonon coupled systems
Picano A, Grandi F, Werner P, Eckstein M (2023)
Publication Type: Journal article
Publication year: 2023
Journal
Book Volume: 108
Article Number: 035115
Journal Issue: 3
DOI: 10.1103/PhysRevB.108.035115
Abstract
We discuss a semiclassical approach to solve the quantum impurity model within nonequilibrium dynamical mean-field theory for electron-lattice models. The effect of electronic fluctuations on the phonon is kept beyond Ehrenfest dynamics, leading to a stochastic phonon evolution with damping and noise terms that are self-consistently determined by the electronic correlation functions in the fluctuating phonon field. Together with a solution of the electronic model based on a nonperturbative quantum Boltzmann equation, the approach can be used to address the coupled dynamics of the electrons and the lattice during photoinduced phase transitions. Results for the Anderson-Holstein model are benchmarked against numerically exact quantum Monte Carlo data. We find good agreement for the phonon distribution function at temperatures comparable to the charge ordering temperature. The general formulation can be extended to models with electron-electron interactions or multiorbital systems.
Authors with CRIS profile
Antonio Picano
Lehrstuhl für Theoretische Festkörperphysik
Francesco Grandi
Lehrstuhl für Theoretische Festkörperphysik
Martin Eckstein
Lehrstuhl für Theoretische Festkörperphysik
Involved external institutions
Switzerland (CH)How to cite
APA:
Picano, A., Grandi, F., Werner, P., & Eckstein, M. (2023). Stochastic semiclassical theory for nonequilibrium electron-phonon coupled systems. Physical Review B, 108(3). https://dx.doi.org/10.1103/PhysRevB.108.035115
MLA:
Picano, Antonio, et al. "Stochastic semiclassical theory for nonequilibrium electron-phonon coupled systems." Physical Review B 108.3 (2023).
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