Interaction of quasilocal harmonic modes and boson peak in glasses

Abstract

The direct proportionality relation between the boson peak maximum in glasses, ${\omega }_b$, and the Ioffe-Regel crossover frequency for phonons, ${\omega }_d$, is established. For several investigated materials ${\omega }_b=(1.5\pm 0.1){\omega }_d$. At the frequency ${\omega }_d$ 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 ${\omega }_b$ and ${\omega }_d$ holds in the general case and is a direct consequence of bilinear coupling of quasilocal oscillators with the strain field.

RevTex, 4 pages, 1 figure

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