Statistical Algorithms for Simulation of Electron Quantum Kinetics in Semiconductors - Part II
LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Ultra-fast Semiconductor Carrier Transport Simulation on the Grid
Large-Scale Scientific Computing
A hybrid Monte Carlo method for simulation of quantum transport
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
Electron-phonon interaction in nanowires: A Monte Carlo study of the effect of the field
Mathematics and Computers in Simulation
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The ultrafast evolution of optically excited carriers which propagate in a quantum wire and interact with three dimensional phonons is investigated. The equation, relevant to this physical problem, is derived by a first principle approach. The electron-phonon interaction is described on a quantum-kinetic level by the Levinson equation, but the evolution problem becomes inhomogeneous due to the spatial dependence of the initial condition. The initial carrier distribution is assumed Gaussian both in energy and space coordinates, an electric field can be applied along the wire. A stochastic method, described in Part II of the work, is used for solving the equation. The obtained simulation results characterize the space and energy dependence of the evolution in the zero field case. Quantum effects introduced by the early time electron-phonon interaction are analyzed.