Adiabatic approach to the dynamics of nonequilibrium electron ensembles in semiconductors

A. A. Grinberg, S. Luryi, N. L. Schryer, R. K. Smith, C. Lee, Umberto Ravaioli, E. Sangiorgi

Research output: Contribution to journalArticle

Abstract

We describe an approach to the solution of the Boltzmann kinetic equation for the evolution of non- equilibrium electron ensembles in semiconductors under the influence of both phonon scattering and electron-electron interaction. This approach works well when the interaction with optical phonons is the dominant scattering mechanism. In this case, the ensemble evolution can be separated into two stages, the first of which corresponds to the establishment of an intermediate distribution, corresponding to a quasiequilibrium with the optical-phonon subsystem. To describe the subsequent evolution, we assume that this quasiequilibrium is maintained while the ensemble progresses toward the true equilibrium. This assumption implies a certain form of the time-dependent distribution function and renders the full kinetic equation tractable. The solution thus obtained has been checked against Monte Carlo simulations for both polar and nonpolar semiconductors.

Original languageEnglish (US)
Pages (from-to)10536-10545
Number of pages10
JournalPhysical Review B
Volume44
Issue number19
DOIs
StatePublished - Jan 1 1991

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Semiconductor materials
Electron-electron interactions
kinetic equations
Phonon scattering
Kinetics
Electrons
Phonons
Distribution functions
electrons
Scattering
scattering
electron scattering
phonons
distribution functions
simulation
interactions
Monte Carlo simulation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Grinberg, A. A., Luryi, S., Schryer, N. L., Smith, R. K., Lee, C., Ravaioli, U., & Sangiorgi, E. (1991). Adiabatic approach to the dynamics of nonequilibrium electron ensembles in semiconductors. Physical Review B, 44(19), 10536-10545. https://doi.org/10.1103/PhysRevB.44.10536

Adiabatic approach to the dynamics of nonequilibrium electron ensembles in semiconductors. / Grinberg, A. A.; Luryi, S.; Schryer, N. L.; Smith, R. K.; Lee, C.; Ravaioli, Umberto; Sangiorgi, E.

In: Physical Review B, Vol. 44, No. 19, 01.01.1991, p. 10536-10545.

Research output: Contribution to journalArticle

Grinberg, AA, Luryi, S, Schryer, NL, Smith, RK, Lee, C, Ravaioli, U & Sangiorgi, E 1991, 'Adiabatic approach to the dynamics of nonequilibrium electron ensembles in semiconductors', Physical Review B, vol. 44, no. 19, pp. 10536-10545. https://doi.org/10.1103/PhysRevB.44.10536
Grinberg, A. A. ; Luryi, S. ; Schryer, N. L. ; Smith, R. K. ; Lee, C. ; Ravaioli, Umberto ; Sangiorgi, E. / Adiabatic approach to the dynamics of nonequilibrium electron ensembles in semiconductors. In: Physical Review B. 1991 ; Vol. 44, No. 19. pp. 10536-10545.
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