Interaction of quasilocal harmonic modes and boson peak in glasses
Abstract
The direct proportionality relation between the boson peak maximum in glasses, ωb, and the Ioffe-Regel crossover frequency for phonons, ωd, is established. For several investigated materials ωb = (1.5 0.1)ωd. At the frequency ωd the mean free path of the phonons l becomes equal to their wavelength because of strong resonant scattering on quasilocal harmonic oscillators. Above this frequency phonons cease to exist. We prove that the established correlation between ωb and ωd holds in the general case and is a direct consequence of bilinear coupling of quasilocal oscillators with the strain field.
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