Quantum Monte Carlo calculations of electron dynamics in dissipative solid-state systems using real-time path integrals
- 15 March 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 39 (8), 5051-5069
- https://doi.org/10.1103/physrevb.39.5051
Abstract
A nonperturbative technique is developed to solve for the quantum dynamics of an electron interacting strongly with its environment. Real-time path-integral methods are used to solve numerically a quantum dissipation problem that simulates nonequilibrium electron transport in solids. A linearly coupled electron-phonon interaction is used to model the dissipation. This method is nonperturbative in both the electron-phonon coupling and the external electric field, making it useful for electron-transport calculations in cases of both high fields and large phonon-scattering rates. Monte Carlo sampling over the electron paths is done using the Feynman-Vernon influence functional as a weight. Importance-sampling methods are developed for the numerical solution of the quantum propagation. Results of the calculations are shown which include the motion of the electron, the wave-packet spread, and temperature effects.Keywords
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