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VOLUME 51 (1990) | ISSUE 12 | PAGE 644
Anderson localization in crystals with heavy isotopic impurities
The vibration spectrum of a harmonic crystal with heavy impurities is shown to consist of two branches, separated by a gap. Bordering the gap on each branch is a frequency interval corresponding to localized modes. The localization thresholds, the frequency dependence of the diffusion coefficient, and that of the phonon localization radius are all derived.