Ohm's law for hot carriers: The role of carrier-carrier scattering at high fields

Ned S. Wingreen; Monique Combescot

doi:10.1016/0038-1098(89)90971-X

Ohm's law for hot carriers: The role of carrier-carrier scattering at high fields

Research output: Contribution to journal › Article › peer-review

Abstract

A large electric field version of Ohm's law is presented for non-polar semiconductors including a carrier-carrier scattering time τ^*. Both the drift momentum 〈k〉 and average carrier energy 〈E〉 decrease with τ^*, but only slightly. Nothing that for carrier-carrier scattering as fast as carrier-phonon scattering, the spherical part of the distribution function is well approximated by a Gaussian at all fields, we obtain an expression for 〈k〉 and 〈E〉 in good agreement with the exact numerical results over the entire range of electric fields.

Original language	English (US)
Pages (from-to)	185-189
Number of pages	5
Journal	Solid State Communications
Volume	70
Issue number	2
DOIs	https://doi.org/10.1016/0038-1098(89)90971-X
State	Published - Apr 1989
Externally published	Yes

All Science Journal Classification (ASJC) codes

Chemistry(all)
Condensed Matter Physics
Materials Chemistry

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10.1016/0038-1098(89)90971-X

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title = "Ohm's law for hot carriers: The role of carrier-carrier scattering at high fields",

abstract = "A large electric field version of Ohm's law is presented for non-polar semiconductors including a carrier-carrier scattering time τ*. Both the drift momentum 〈k〉 and average carrier energy 〈E〉 decrease with τ*, but only slightly. Nothing that for carrier-carrier scattering as fast as carrier-phonon scattering, the spherical part of the distribution function is well approximated by a Gaussian at all fields, we obtain an expression for 〈k〉 and 〈E〉 in good agreement with the exact numerical results over the entire range of electric fields.",

author = "Wingreen, {Ned S.} and Monique Combescot",

year = "1989",

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AB - A large electric field version of Ohm's law is presented for non-polar semiconductors including a carrier-carrier scattering time τ*. Both the drift momentum 〈k〉 and average carrier energy 〈E〉 decrease with τ*, but only slightly. Nothing that for carrier-carrier scattering as fast as carrier-phonon scattering, the spherical part of the distribution function is well approximated by a Gaussian at all fields, we obtain an expression for 〈k〉 and 〈E〉 in good agreement with the exact numerical results over the entire range of electric fields.

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