Magnetotransport Properties of AlxIn1-xAsySb1-y/GaSb and Optical Properties of GaAs1-xSbx Page: 48
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where p is the material density, u, is the velocity of the longitudinal sound waves, m* is
the effective mass of the charge carriers, and EAC is the acoustic deformation potential.
This can be conveniently rewritten as [7]
2
PAC 3.2 x 10-5 Pu/_(3.33)
(m */mo )5/2 E2cT3/2 (3.33)
2 3,
where pAC is in cm2/Vs, EAC is in e V, p is in g/cm3, u is in cm/s and T is in K. The
dependence of pAC on effective mass, deformation potential, and temperature should be
noted because it will later be seen that these dependencies are preserved even in cases
involving more complex band structures.
The simplest case of interaction between electrons and nonpolar optical phonons
involves electrons in nondegenerate ellipsoidal bands such as are found in n-Ge and n-Si.
For this case it has been shown that the nonpolar optical mobility may be written in the
form
8 7ceh 4 u2e1 --xdx
P 2eh4 xe-Xdx(3.34)
tNPO- 3 k (m */ m)E PO' O 0 ,(.T4
,,P 3Fk2M2 (m *m)2E 20OT12 X0 eT[Ir - O/x T]2 + [1 + O/xT]y2
where 0 is the characteristic temperature of the optical phonons (kBO6=h v), ENpo is a
suitably defined optical phonon deformation potential, and all other quantities have the
same meaning as in equation (3.32). Comparing equations (3.32) and (3.34), it can be
seen that the numerical prefactor involving fundamental physical constants in equation
(3.34) is 6.345x105 if tNpo is expressed in cm2/Vs and ENPo in e V. Note that the
temperature dependence of UNpo is more complicated than that of pAC at low temperatures
(6/T<1) but approaches T3/2 at higher temperatures.48
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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/m1/58/: accessed March 28, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .