Phonon Scattering by Lattice Defects
- 15 August 1963
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 131 (4), 1500-1510
- https://doi.org/10.1103/physrev.131.1500
Abstract
The Green's-function matrix method first developed by I. M. Lifshitz is applied to the problem of the scattering of phonons by a localized perturbation in the lattice. The scattering can be described by a matrix that is localized to the same extent as the perturbation and has similar symmetry properties. The matrix can be written in terms of the perturbation matrix and the Green's-function matrix , perhaps most easily in terms of the representation formed by the eigenvectors of the matrix , ; these vectors can often be found by symmetry considerations. Two cases are of particular interest: (1) a "singular" perturbation which leads to a matrix independent of the strength of the perturbation, and (2) resonance scattering from a low-frequency virtual local mode. The latter case is discussed for the example of decreased central-force constants between nearest neighbors and the impurity site. Some implications for thermal conductivity are mentioned.
Keywords
This publication has 24 references indexed in Scilit:
- Resonance Scattering of Lattice Waves by IsotopesProgress of Theoretical Physics, 1963
- Zwischengitterionen als wirksame störstellen in wärmeleitungsexperimenten an KCl- und KBr-einkristallenJournal of Physics and Chemistry of Solids, 1962
- Suggested Experiment on Approximate Localized Modes in CrystalsPhysical Review Letters, 1962
- Localized Moments in MetalsPhysical Review B, 1961
- Phonon Scattering in Sodium Chloride Containing OxygenPhysical Review B, 1961
- Remarks on the Vibrations of Diatomic LatticesReviews of Modern Physics, 1958
- Some problems of the dynamic theory of non-ideal crystal latticesIl Nuovo Cimento (1869-1876), 1956
- Effect of Defects on Lattice VibrationsPhysical Review B, 1955
- Theory of Scattering in SolidsPhysical Review B, 1954
- Wave Functions for Impurity LevelsPhysical Review B, 1954