P.B. Miller, P.C. Kwok
Physical Review
A Green's-function theory of the attenuation of an acoustic phonon by its interaction through the anharmonic lattice potential with thermal phonons is derived. A general mechanism scattering the thermal phonons is included by the use of the full Green's function for the thermal phonons. The theory thus provides a unified treatment for the entire range of values of the thermal-phonon lifetime. When the acoustic period is long compared to the thermal-phonon lifetime, our result reduces to the formula obtained by Akheiser only for a certain class of mechanisms scattering the thermal phonons (e.g., normal three-phonon processes). For other scattering mechanisms (e.g., random point defects), we obtain a qualitatively different result which reflects the fact that the acoustic phonon now interacts most strongly with thermal phonons of energy considerably below kT. © 1965 The American Physical Society.
P.B. Miller, P.C. Kwok
Physical Review
P.B. Miller
Physical Review Letters
P.C. Kwok, P.C. Martin, et al.
Solid State Communications
P.B. Miller, P.C. Kwok
Physical Review