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Analysis of Lattice and Ionized Impurity Scattering in p-Type Germanium

Analysis of Lattice and Ionized Impurity Scattering in p-Type Germanium,10.1103/PhysRev.127.1593,Physical Review,Dale Marius Brown,Ralph Bray

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Analysis of Lattice and Ionized Impurity Scattering in p-Type Germanium   (Citations: 15)
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The scattering of holes in p-type germanium by acoustical and optical phonons, and by ionized impurities has been studied over a wide range of temperature from 7 to 300°K, and for impurity concentrations from 1013 to 1017 cm-3. The mobility was analyzed on the basis of the following approximations: (1) The light- and heavy-hole valence bands are parabolic with spherical constant-energy surfaces and effective-mass ratios of 0.043 and 0.35; (2) the relaxation time for lattice scattering is the same for the heavy and light holes; and (3) the ionized impurity scattering is describable by the Brooks-Herring formula with the scattering limited to intraband transitions. The following results were obtained: (1) The expectation was substantiated that the lattice scattering at T<=70°K can be attributed to acoustical phonon interactions; the mobility muac=3.37×107 T-32 cm2/V-sec was obtained by treating it as the sole adjustable parameter in the range 10 to 70°K (2) the stronger T-2.3 dependence of mobility in the range 120 to 300°K can be attributed to the advent of optical mode scattering if the ratio of optical to acoustical mode coupling constants (EopEac)2 is chosen to be 3.8; (3) the Brooks-Herring formula describes the ionized impurity scattering very well from 30 to 300°K for impurity concentrations NI<=1015 cm-3, but overestimates the mobility for higher NI or lower T. The eventual failure of the analysis may be attributed to the neglect of carrier-carrier and interband ionized impurity scattering.
Journal: Physical Review - PHYS REV X , vol. 127, no. 5, pp. 1593-1602, 1962
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