TY - JOUR
T1 - Many-body semiclassical approximation for semiconductor plasmas
AU - Kriman, A. M.
AU - Joshi, R. P.
AU - Ferry, D. K.
N1 - Publisher Copyright:
© 1992 Proceedings of SPIE - The International Society for Optical Engineering. All rights reserved.
PY - 1992
Y1 - 1992
N2 - Realistic simulations of semiconductor plasmas require detailed, many-species descriptions of the phonon and electronic systems. Limited numerical power then usually requires simplifying approximations. One approximation is the use of a screened Coulomb interaction. When an accurate screening function is not available, or when a better electrostatics treatment is needed, one can perform ensemble Monte Carlo (EMC) simulations that use a phase-space-Trajectories or "molecular dynamics" (MD) evolution of the electron ensemble. In these EMCIMD simulations, Coulomb scattering events are treated continuously in the MD evolution of electron trajectories rather than by instantaneous scattering in EMC. Dynamic screening effects are then included accurately by the explicit correlated motion of the electron ensemble. The electron trajectories simulated by MD have until recently been completely classical. We describe extensions of EMCTMD into the semiclassical regime, thus incorporating quantum effects such as position-momentum uncertainty. The method takes account of the Fermi statistics of the many-electron ensemble, yielding spin-dependent exchange contributions to the forces and effective mass. We describe effects of these corrections on the velocity autocorrelation function and on thermalization of satellite-valley electrons.
AB - Realistic simulations of semiconductor plasmas require detailed, many-species descriptions of the phonon and electronic systems. Limited numerical power then usually requires simplifying approximations. One approximation is the use of a screened Coulomb interaction. When an accurate screening function is not available, or when a better electrostatics treatment is needed, one can perform ensemble Monte Carlo (EMC) simulations that use a phase-space-Trajectories or "molecular dynamics" (MD) evolution of the electron ensemble. In these EMCIMD simulations, Coulomb scattering events are treated continuously in the MD evolution of electron trajectories rather than by instantaneous scattering in EMC. Dynamic screening effects are then included accurately by the explicit correlated motion of the electron ensemble. The electron trajectories simulated by MD have until recently been completely classical. We describe extensions of EMCTMD into the semiclassical regime, thus incorporating quantum effects such as position-momentum uncertainty. The method takes account of the Fermi statistics of the many-electron ensemble, yielding spin-dependent exchange contributions to the forces and effective mass. We describe effects of these corrections on the velocity autocorrelation function and on thermalization of satellite-valley electrons.
UR - http://www.scopus.com/inward/record.url?scp=0026961651&partnerID=8YFLogxK
U2 - 10.1117/12.142662
DO - 10.1117/12.142662
M3 - Conference article
AN - SCOPUS:0026961651
SN - 0277-786X
VL - 1677
SP - 2
EP - 8
JO - Proceedings of SPIE - The International Society for Optical Engineering
JF - Proceedings of SPIE - The International Society for Optical Engineering
T2 - Ultrafast Lasers Probe Phenomena in Semiconductors and Superconductors 1992
Y2 - 22 March 1992
ER -