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VOLUME 76 (2002) | ISSUE 9 | PAGE 650
On the theory of Boson peak in glasses
PACS: 61.43.Fs, 63.50.+x, 78.30.Ly
Abstract
A universal mechanism of the Boson peak formation in glasses is proposed. The mechanism is based on the concept of interacting quasi-local oscillators. Even in the case of weak interaction the low-frequency spectrum becomes unstable. Due to anharmonicity the system undergoes a transition into a new stable configuration. As a result, below some characteristic frequency ωc, proportional to the typical strength of interaction, the renormalized density of states becomes a universal function of ω with a Boson peak feature, i.e. the reduced density of states g(ω)/ω2 has a maximum at a frequency \omega_b\ll\omega_c. We derive an analytical form of this function.