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R. Elliott, J. Krumhansl, P. Leath (1974)
The theory and properties of randomly disordered crystals and related physical systemsReviews of Modern Physics, 46
M. Tinkham (1964)
Group Theory and Quantum Mechanics
K. Menn, W. Biem (1984)
Self-consistent phonons in configurationally disordered quantum crystals. I. TheoryJournal of Low Temperature Physics, 57
D. Wallace (1972)
Thermodynamics of Crystals
H. Kanzaki (1957)
Point defects in face-centred cubic lattice—I distortion around defectsJournal of Physics and Chemistry of Solids, 2
J. Warren (1968)
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Symmetry Properties of the Normal Vibrations of a CrystalReviews of Modern Physics, 40
In a foregoing publication a self-consistent phonon theory for configurationally disordered crystals was discussed by W. Biem and the author. In this article some simplifications concerning the coherent potential approximation (CPA) equations and the static relaxations are derived with the help of group-theoretic methods. Besides the familiar reduction of the relevant matrices to block-diagonal form, a very fast Fourier transformation between thek space and the space spanned by symmetry-adapted coordinates is discussed. This allows a solution of the CPA equations without using the real lattice.
Journal of Low Temperature Physics – Springer Journals
Published: Nov 6, 2004
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