Density matrix methods for semiconductor coulomb dynamics

James W. Dufty, Chang Sub Kim, Michael Bonitz, Rudolf Binder

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Current experiments on semiconductor devices using femtosecond lasers provide new theoretical challenges for the description of charge carrier dynamics. Among the new features of such experiments are states driven very far from equilibrium and probes on time scales short compared to scattering and other characteristic material relaxation times. Standard many-body methods must be modified and extended to accommodate these features. We propose that the quantum hierarchy for reduced density operators is an ideal formulation of such initial value problems and describe how the dominant effects of exchange and charge correlations can be accounted for in a simple and physically transparent closure of the hierarchy of equations. The transformations, approximations, and interpretation can be accomplished independent of any particular matrix representation. Decomposition into kinetic equations for band occupation densities and polarization densities follows in a straightforward way after the many-body problem has been brought under control.

Original languageEnglish (US)
Pages (from-to)929-940
Number of pages12
JournalInternational Journal of Quantum Chemistry
Volume65
Issue number5
StatePublished - 1997

Fingerprint

matrix methods
Semiconductor materials
hierarchies
Initial value problems
Semiconductor devices
Ultrashort pulses
Charge carriers
Relaxation time
many body problem
Experiments
Scattering
Polarization
Decomposition
semiconductor devices
kinetic equations
boundary value problems
occupation
closures
Kinetics
charge carriers

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Density matrix methods for semiconductor coulomb dynamics. / Dufty, James W.; Kim, Chang Sub; Bonitz, Michael; Binder, Rudolf.

In: International Journal of Quantum Chemistry, Vol. 65, No. 5, 1997, p. 929-940.

Research output: Contribution to journalArticle

Dufty, James W. ; Kim, Chang Sub ; Bonitz, Michael ; Binder, Rudolf. / Density matrix methods for semiconductor coulomb dynamics. In: International Journal of Quantum Chemistry. 1997 ; Vol. 65, No. 5. pp. 929-940.
@article{52c6376b99ba47599e267711e0d63949,
title = "Density matrix methods for semiconductor coulomb dynamics",
abstract = "Current experiments on semiconductor devices using femtosecond lasers provide new theoretical challenges for the description of charge carrier dynamics. Among the new features of such experiments are states driven very far from equilibrium and probes on time scales short compared to scattering and other characteristic material relaxation times. Standard many-body methods must be modified and extended to accommodate these features. We propose that the quantum hierarchy for reduced density operators is an ideal formulation of such initial value problems and describe how the dominant effects of exchange and charge correlations can be accounted for in a simple and physically transparent closure of the hierarchy of equations. The transformations, approximations, and interpretation can be accomplished independent of any particular matrix representation. Decomposition into kinetic equations for band occupation densities and polarization densities follows in a straightforward way after the many-body problem has been brought under control.",
author = "Dufty, {James W.} and Kim, {Chang Sub} and Michael Bonitz and Rudolf Binder",
year = "1997",
language = "English (US)",
volume = "65",
pages = "929--940",
journal = "International Journal of Quantum Chemistry",
issn = "0020-7608",
publisher = "John Wiley and Sons Inc.",
number = "5",

}

TY - JOUR

T1 - Density matrix methods for semiconductor coulomb dynamics

AU - Dufty, James W.

AU - Kim, Chang Sub

AU - Bonitz, Michael

AU - Binder, Rudolf

PY - 1997

Y1 - 1997

N2 - Current experiments on semiconductor devices using femtosecond lasers provide new theoretical challenges for the description of charge carrier dynamics. Among the new features of such experiments are states driven very far from equilibrium and probes on time scales short compared to scattering and other characteristic material relaxation times. Standard many-body methods must be modified and extended to accommodate these features. We propose that the quantum hierarchy for reduced density operators is an ideal formulation of such initial value problems and describe how the dominant effects of exchange and charge correlations can be accounted for in a simple and physically transparent closure of the hierarchy of equations. The transformations, approximations, and interpretation can be accomplished independent of any particular matrix representation. Decomposition into kinetic equations for band occupation densities and polarization densities follows in a straightforward way after the many-body problem has been brought under control.

AB - Current experiments on semiconductor devices using femtosecond lasers provide new theoretical challenges for the description of charge carrier dynamics. Among the new features of such experiments are states driven very far from equilibrium and probes on time scales short compared to scattering and other characteristic material relaxation times. Standard many-body methods must be modified and extended to accommodate these features. We propose that the quantum hierarchy for reduced density operators is an ideal formulation of such initial value problems and describe how the dominant effects of exchange and charge correlations can be accounted for in a simple and physically transparent closure of the hierarchy of equations. The transformations, approximations, and interpretation can be accomplished independent of any particular matrix representation. Decomposition into kinetic equations for band occupation densities and polarization densities follows in a straightforward way after the many-body problem has been brought under control.

UR - http://www.scopus.com/inward/record.url?scp=5644225626&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5644225626&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:5644225626

VL - 65

SP - 929

EP - 940

JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

SN - 0020-7608

IS - 5

ER -