Boson peak in an harmonic scalar model

Details Boson peak in an harmonic scalar model Boson peak in an harmonic scalar model

2001-10-07

arxiv.org/abs/cond-mat/0110129v1

Physics

Condensed Matter

4 pages, 3 postscript figures

Scientific paper

We study, analytically and numerically, an off-lattice model of scalar harmonic vibrations for structural glasses. The model has a Boson-Peak which we argue can be considered as a prototype for materials with a Boson Peak frequency that decreases with lowering temperature. The density evolution of the Boson Peak in silica is qualitatively reproduced. The dispersion relation is linear at the Boson Peak frequency, in agreement with experiments. In our model the Boson Peak is a precursor of a nearby mechanical instability. The Boson Peak is built up by the hybridization of the sound waves with extended, but non propagating (in the sense of a flat dispersion relation), modes.

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