### Abstract

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 electronic ensemble. In these EMC/MD simulations, Coulomb scattering events are treated continuously in the MD evolution of electron trajectories rather than by instantaneous scattering in EMC. Dynamic scattering 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 EMC/MD 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.

Original language | English (US) |
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Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Place of Publication | Bellingham, WA, United States |

Publisher | Publ by Int Soc for Optical Engineering |

Pages | 2-8 |

Number of pages | 7 |

Volume | 1677 |

ISBN (Print) | 0819408387 |

State | Published - 1992 |

Externally published | Yes |

Event | Ultrafast Laser Probe Phenomena in Semiconductors and Superconductors - Somerset, NJ, USA Duration: Mar 24 1992 → Mar 25 1992 |

### Other

Other | Ultrafast Laser Probe Phenomena in Semiconductors and Superconductors |
---|---|

City | Somerset, NJ, USA |

Period | 3/24/92 → 3/25/92 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Condensed Matter Physics

### Cite this

*Proceedings of SPIE - The International Society for Optical Engineering*(Vol. 1677, pp. 2-8). Bellingham, WA, United States: Publ by Int Soc for Optical Engineering.

**Many-body semiclassical approximation for semiconductor plasmas.** / Kriman, Alfred M.; Joshi, Ravindra P.; Ferry, David K.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of SPIE - The International Society for Optical Engineering.*vol. 1677, Publ by Int Soc for Optical Engineering, Bellingham, WA, United States, pp. 2-8, Ultrafast Laser Probe Phenomena in Semiconductors and Superconductors, Somerset, NJ, USA, 3/24/92.

}

TY - GEN

T1 - Many-body semiclassical approximation for semiconductor plasmas

AU - Kriman, Alfred M.

AU - Joshi, Ravindra P.

AU - Ferry, David K.

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 electronic ensemble. In these EMC/MD simulations, Coulomb scattering events are treated continuously in the MD evolution of electron trajectories rather than by instantaneous scattering in EMC. Dynamic scattering 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 EMC/MD 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 electronic ensemble. In these EMC/MD simulations, Coulomb scattering events are treated continuously in the MD evolution of electron trajectories rather than by instantaneous scattering in EMC. Dynamic scattering 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 EMC/MD 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

UR - http://www.scopus.com/inward/citedby.url?scp=0026961651&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026961651

SN - 0819408387

VL - 1677

SP - 2

EP - 8

BT - Proceedings of SPIE - The International Society for Optical Engineering

PB - Publ by Int Soc for Optical Engineering

CY - Bellingham, WA, United States

ER -