Resonance vibrations in three-dimensional and low-dimensional crystals containing two-parametric substitutional impurities
Mikhail IvanovB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, KharkovA. M. KosevichB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, KharkovЕ. С. СыркинB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, KharkovИ. А. ГосподаревB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, KharkovYu. V. SkripnikB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, KharkovС. Б. ФеодосьевB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, Kharkov
ABI
Abstract
The spectrum of quasilocal vibrations in three-dimensional and low-dimensional crystals containing two-parametric substitutional impurities is calculated analytically by using Green’s function technique. The results of analytic calculations are supplemented with a numerical analysis carried out for realistic lattice models in a wide range of defect parameters and anisotropy values of the crystal. Among other things, it is shown that well-defined resonance vibrations can emerge in low-dimensional systems practically in any spectral region.
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