Interaction of Conduction Electrons with Acoustic Waves in Simple Semiconductors

概要

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A semi-classical theory is given of the interaction of conduction electrons with acoustic waves in single-valley semiconductors with spherical energy surface, using Pippard's approach to the ultrasonic absorption in monovalent metals. For longitudinal acoustic waves, the acoustoelectric effect is identical with that obtained by Weinreich-Holstein's phenomenological approach, if ql ≪ 1 and |C| ≫ mω_p^2 ≫ 2ζ/3, where q is the wave number of acoustic waves, C the deformation potential constant and l, m, ω_p, ζ are the mean free path, effective mass, plasma frequency, Fermi energy (or average thermal energy) of conduction electrons respectively. Under such conditions as ql ≫ 1 and |C| and 2ζ/3 ≫ mω_p^2/q^2, the acoustoelectric effect is essentially identical with that derived from the quantum-mechanical calculation. In the sufficiently low frequency range, where ql ≪ 1 and |C| and 2ζ/3 ≪ mω_p^2/q^2, the interaction can be described by the term of the electronic viscosity as in monovalent metals. For transverse acoustic waves, C = 0 in cubic crystals and the interaction is analogous to that in monovalent metals, with the two exceptions that there is no region in which the absorption coefficient depends linearly on the frequency of waves, and the coefficient approaches to the limiting value in the relatively low frequency range.
社団法人日本物理学会の論文
1960-06-05