Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 14, Issue 12, Pages 3143-3166Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0953-8984/14/12/306
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The spectral density for vector vibrations in the face-centred cubic lattice with force-constant disorder is analysed within the coherent potential approximation. The phase diagram showing the weak- and strong-scattering regimes is presented and compared with that for electrons. The weak- scattering regime for external long-wavelength vibrational plane waves is shown to be due to sum-rule correlations in the dynamical matrix. A secondary peak-below the Brillouin peak for sufficiently large wavevectors is found for the lattice models. The results obtained are supported by precise numerical solutions.
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