Energy-diffusion equation in hot-electron problems: Disturbance of the polar-optical-phonon distribution

D. K. Ferry

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

In polar semiconductors, the emission of polar optical phonons by electrons with E>ω0 is a major energy-relaxation process. At low temperatures, the large number of emitted phonons disturbs the polar mode distribution. The energy-diffusion equation for carrier flow in energy space can be used to solve the energy distribution function of the carriers. This function is then used to solve for the disturbed phonon distribution. A phonon quasitemperature is introduced to aid in the calculation of the disturbed phonon density and the hot-electron energy distribution function. At high values of the electric field, tailing of the energy distribution function occurs primarily due to the phonon disturbance. The theories are applied to n-type InSb. All optical-phonon- emission and -absorption processes are considered, even at low temperatures since the absorption processes are important for determining a balance in the distribution function. Scattering by acoustic deformation potential, piezoelectric, and ionized impurities are also considered.

Original languageEnglish (US)
Pages (from-to)1544-1555
Number of pages12
JournalPhysical Review B
Volume8
Issue number4
DOIs
StatePublished - 1973
Externally publishedYes

Fingerprint

Hot electrons
hot electrons
Distribution functions
disturbances
distribution functions
energy distribution
Phonons
phonons
energy
Tailings
Relaxation processes
Acoustics
Electric fields
Scattering
Impurities
electron energy
Semiconductor materials
impurities
Temperature
acoustics

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Energy-diffusion equation in hot-electron problems : Disturbance of the polar-optical-phonon distribution. / Ferry, D. K.

In: Physical Review B, Vol. 8, No. 4, 1973, p. 1544-1555.

Research output: Contribution to journalArticle

@article{5493f96d10084da59564767435e3852f,
title = "Energy-diffusion equation in hot-electron problems: Disturbance of the polar-optical-phonon distribution",
abstract = "In polar semiconductors, the emission of polar optical phonons by electrons with E>ω0 is a major energy-relaxation process. At low temperatures, the large number of emitted phonons disturbs the polar mode distribution. The energy-diffusion equation for carrier flow in energy space can be used to solve the energy distribution function of the carriers. This function is then used to solve for the disturbed phonon distribution. A phonon quasitemperature is introduced to aid in the calculation of the disturbed phonon density and the hot-electron energy distribution function. At high values of the electric field, tailing of the energy distribution function occurs primarily due to the phonon disturbance. The theories are applied to n-type InSb. All optical-phonon- emission and -absorption processes are considered, even at low temperatures since the absorption processes are important for determining a balance in the distribution function. Scattering by acoustic deformation potential, piezoelectric, and ionized impurities are also considered.",
author = "Ferry, {D. K.}",
year = "1973",
doi = "10.1103/PhysRevB.8.1544",
language = "English (US)",
volume = "8",
pages = "1544--1555",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "4",

}

TY - JOUR

T1 - Energy-diffusion equation in hot-electron problems

T2 - Disturbance of the polar-optical-phonon distribution

AU - Ferry, D. K.

PY - 1973

Y1 - 1973

N2 - In polar semiconductors, the emission of polar optical phonons by electrons with E>ω0 is a major energy-relaxation process. At low temperatures, the large number of emitted phonons disturbs the polar mode distribution. The energy-diffusion equation for carrier flow in energy space can be used to solve the energy distribution function of the carriers. This function is then used to solve for the disturbed phonon distribution. A phonon quasitemperature is introduced to aid in the calculation of the disturbed phonon density and the hot-electron energy distribution function. At high values of the electric field, tailing of the energy distribution function occurs primarily due to the phonon disturbance. The theories are applied to n-type InSb. All optical-phonon- emission and -absorption processes are considered, even at low temperatures since the absorption processes are important for determining a balance in the distribution function. Scattering by acoustic deformation potential, piezoelectric, and ionized impurities are also considered.

AB - In polar semiconductors, the emission of polar optical phonons by electrons with E>ω0 is a major energy-relaxation process. At low temperatures, the large number of emitted phonons disturbs the polar mode distribution. The energy-diffusion equation for carrier flow in energy space can be used to solve the energy distribution function of the carriers. This function is then used to solve for the disturbed phonon distribution. A phonon quasitemperature is introduced to aid in the calculation of the disturbed phonon density and the hot-electron energy distribution function. At high values of the electric field, tailing of the energy distribution function occurs primarily due to the phonon disturbance. The theories are applied to n-type InSb. All optical-phonon- emission and -absorption processes are considered, even at low temperatures since the absorption processes are important for determining a balance in the distribution function. Scattering by acoustic deformation potential, piezoelectric, and ionized impurities are also considered.

UR - http://www.scopus.com/inward/record.url?scp=4944262365&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4944262365&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.8.1544

DO - 10.1103/PhysRevB.8.1544

M3 - Article

AN - SCOPUS:4944262365

VL - 8

SP - 1544

EP - 1555

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 4

ER -