Vector vibrations and the Ioffe-Regel crossover in disordered lattices

Details Vector vibrations and the Ioffe-Regel crossover in disordered lattices Vector vibrations and the Ioffe-Regel crossover in disordered lattices

2002-04-25

arxiv.org/abs/cond-mat/0204549v1

J.Phys.: Condens.Matter, v.14, 3143-3166 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

21 pages, 13 figures

Scientific paper

10.1088/0953-8984/14/12/306

The spectral density for vector vibrations in the f.c.c. 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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