Open AccessA Backward Monte Carlo Method for Simulationof the Electron Quantum Kinetics in Semiconductors
Author(s) -
Mihail Nedjalkov,
Hans Kosina,
S. Selberherr,
Ivan Dimov
Publication year - 2001
Publication title -
vlsi design
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.123
H-Index - 24
eISSN - 1065-514X
pISSN - 1026-7123
DOI - 10.1155/2001/54247
Subject(s) - path integral formulation , quantum monte carlo , statistical physics , monte carlo method , kinetic monte carlo , electron , master equation , physics , quantum master equation , path integral monte carlo , quantum , collision , dynamic monte carlo method , integral equation , kinetic energy , mathematics , quantum mechanics , computer science , mathematical analysis , computer security , statistics
A quantum-kinetic equation accounting for the electron-phonon interaction is solved bya stochastic approach. Analyzed are three analytically equivalent integral formulationof the equation which appear to have different numerical properties. Particularly thepath-integral formulation is found to be advantageous for the numerical treatment. Theanalysis is supported by the presented simulation results. A variety of physical effectssuch as collisional broadening and collision retardation introduced by the equation arediscussed
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