Isotope scattering of dispersive phonons in Ge

Shin-ichiro Tamura
Phys. Rev. B 27, 858 – Published 15 January 1983
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Abstract

With the use of a lattice-dynamical model which reproduces observed phonon dispersion curves very accurately, the isotope scattering of near-zone-boundary acoustic phonons in Ge is investigated theoretically. We show that the lattice dispersion which becomes appreciable in the THz-frequency region leads to the phonon relaxation time that decreases more rapidly than ω4. This deviation from the ω4 dependence (the ω4 behavior is predicted by the continuum elasticity theory) amounts to about 20% at 1 THz and is enhanced heavily at the zone boundaries. Calculations are based on the lowest-order perturbation theory. Higherorder corrections are estimated as well and shown to be negligibly small.

  • Received 13 September 1982

DOI:https://doi.org/10.1103/PhysRevB.27.858

©1983 American Physical Society

Authors & Affiliations

Shin-ichiro Tamura

  • Department of Engineering Science, Hokkaido University, Sapporo 060, Japan

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Issue

Vol. 27, Iss. 2 — 15 January 1983

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