Magnetotransport Properties of AlxIn1-xAsySb1-y/GaSb and Optical Properties of GaAs1-xSbx Page: 3
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principle, quite straightforward to measure and it can, either by itself or in conjunction
with other measured parameters, yield valuable information about the impurity content,
degree of compensation, carrier scattering mechanisms, doping homogeneity, and other
factors of importance in a semiconductor alloy.
For p-type direct-gap III-V compound semiconductor compounds (e.g. InSb, InAs,
InP, GaSb, and GaAs) there is an excellent agreement between theory and experiment
[5,6]. Theoretical models for scattering by ionized impurities and acoustic phonons yield
simple analytic expressions for the mobilities in these materials [7-9]. Because of the
spherical symmetry of the electron wave functions, optical phonons affect the mobility
only through lattice polarization (i.e. there is no nonpolar optical (NPO) mode scattering).
Ehrenreich [10,11] has treated polar mode scattering and given a closed-form expression
for the polar mobility. Alloy scattering is a significant mechanism, which should be
carefully controlled and must be lowered if high mobilities are to be obtained. The
mathematical model for alloy scattering was first discussed by Brooks [8] and it was
further evaluated for some ternary and quaternary III-V semiconductor alloys by
Glicksman [12], Harrison [13] and Littlejohn [14]. It is possible to obtain approximate
agreement between theory and experiment by using these analytic expressions and
combining mobilities according to Matthiessen's rule, by adding the reciprocals of the
partial mobilities [15]. In order to obtain the best agreement between theory and
experiment, however, it is necessary to include several scattering mechanisms. When this
is done (usually through numerical solution of the Boltzmann equation), one obtains
excellent agreement between theory and experiment.
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Lukic- Zrnic, Reiko. Magnetotransport Properties of AlxIn1-xAsySb1-y/GaSb and Optical Properties of GaAs1-xSbx, dissertation, May 2003; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc5522/m1/13/: accessed April 19, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .