Interaction of quasilocal harmonic modes and boson peak in glasses

Details Interaction of quasilocal harmonic modes and boson peak in glasses Interaction of quasilocal harmonic modes and boson peak in glasses

2000-07-28

arxiv.org/abs/cond-mat/0007462v1

Phys. Rev. B 63, 132203 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex, 4 pages, 1 figure

Scientific paper

10.1103/PhysRevB.63.132203

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.

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