Energy diffusion equation for an electron gas interacting with polar optical phonons: Non-parabolic case

J. P. Leburton; J. Tang; K. Hess

doi:10.1016/0038-1098(83)90166-7

Energy diffusion equation for an electron gas interacting with polar optical phonons: Non-parabolic case

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Abstract

A novel method previously presented to explicitly solve the Boltzmann equation for highly energetic electrons interacting with polar optical phonons is improved in order to take into account the non-parabolicity of the conduction band. For the case of field free spatial diffusion, the carrier velocity is compared with Monte Carlo simulations. For GaAs the agreement between the analytical and the numerical method is quite good at 77 and 300 K. Also, the results derived for a parabolic band structure show a strong overestimation of the carrier velocity.

Original language	English (US)
Pages (from-to)	517-519
Number of pages	3
Journal	Solid State Communications
Volume	45
Issue number	6
DOIs	https://doi.org/10.1016/0038-1098(83)90166-7
State	Published - Feb 1983

ASJC Scopus subject areas

Chemistry(all)
Condensed Matter Physics
Materials Chemistry

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title = "Energy diffusion equation for an electron gas interacting with polar optical phonons: Non-parabolic case",

abstract = "A novel method previously presented to explicitly solve the Boltzmann equation for highly energetic electrons interacting with polar optical phonons is improved in order to take into account the non-parabolicity of the conduction band. For the case of field free spatial diffusion, the carrier velocity is compared with Monte Carlo simulations. For GaAs the agreement between the analytical and the numerical method is quite good at 77 and 300 K. Also, the results derived for a parabolic band structure show a strong overestimation of the carrier velocity.",

author = "Leburton, {J. P.} and J. Tang and K. Hess",

note = "Funding Information: Acknowledgements - Financial support of the U.S. Army Research Office and the Electronics Technology and Devices Laboratory, Fort Monmouth, is gratefully acknowledged. We also would like to thank K.F. Brennan for reading and correcting the manuscript.",

year = "1983",

month = feb,

doi = "10.1016/0038-1098(83)90166-7",

language = "English (US)",

volume = "45",

pages = "517--519",

journal = "Solid State Communications",

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TY - JOUR

T1 - Energy diffusion equation for an electron gas interacting with polar optical phonons

T2 - Non-parabolic case

AU - Leburton, J. P.

AU - Tang, J.

AU - Hess, K.

N1 - Funding Information: Acknowledgements - Financial support of the U.S. Army Research Office and the Electronics Technology and Devices Laboratory, Fort Monmouth, is gratefully acknowledged. We also would like to thank K.F. Brennan for reading and correcting the manuscript.

PY - 1983/2

Y1 - 1983/2

N2 - A novel method previously presented to explicitly solve the Boltzmann equation for highly energetic electrons interacting with polar optical phonons is improved in order to take into account the non-parabolicity of the conduction band. For the case of field free spatial diffusion, the carrier velocity is compared with Monte Carlo simulations. For GaAs the agreement between the analytical and the numerical method is quite good at 77 and 300 K. Also, the results derived for a parabolic band structure show a strong overestimation of the carrier velocity.

AB - A novel method previously presented to explicitly solve the Boltzmann equation for highly energetic electrons interacting with polar optical phonons is improved in order to take into account the non-parabolicity of the conduction band. For the case of field free spatial diffusion, the carrier velocity is compared with Monte Carlo simulations. For GaAs the agreement between the analytical and the numerical method is quite good at 77 and 300 K. Also, the results derived for a parabolic band structure show a strong overestimation of the carrier velocity.

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U2 - 10.1016/0038-1098(83)90166-7

DO - 10.1016/0038-1098(83)90166-7

M3 - Article

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JO - Solid State Communications

JF - Solid State Communications

SN - 0038-1098

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ER -

Energy diffusion equation for an electron gas interacting with polar optical phonons: Non-parabolic case

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