Abstract
A theory of the attenuation of longitudinal sound in electron-hole liquids in semiconductors, based on coupled electron and hole kinetic equations, is developed. The theory takes into account the existence of several bands of Fermi liquids, with differing charge and interaction with the lattice, the fact that the Fermi wave numbers are so small that the wave number of the sound can exceed them, and the effects of intraband collisions, which can be rapid enough to produce a significant reduction in the attenuation, even in the high-frequency regime. The theory is applied to sound propagating in the direction in a Ge electron-hole liquid, and the direction in a Si liquid. The former case, compared with the recent experiments by Dietsche, Kirch, and Wolfe (Phys. Rev. B 26, 780 (1982)), suggests that intraband collisions play an important role in the sound-attenuation process.
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