The Boson peak and the phonons in glasses

Details The Boson peak and the phonons in glasses The Boson peak and the phonons in glasses

2003-12-02

arxiv.org/abs/cond-mat/0312073v1

Physics

Condensed Matter

to appear in the proceedings of the conference "Slow dynamics in complex sistems", Sendai (Japan) 2003

Scientific paper

10.1063/1.1764225

Despite the presence of topological disorder, phonons seem to exist also in glasses at very high frequencies (THz) and they remarkably persist into the supercooled liquid. A universal feature of such a systems is the Boson peak, an excess of states over the standard Debye contribution at the vibrational density of states. Exploiting the euclidean random matrix theory of vibrations in amorphous systems we show that this peak is the signature of a phase transition in the space of the stationary points of the energy, from a minima-dominated phase (with phonons) at low energy to a saddle-point dominated phase (without phonons). The theoretical predictions are checked by means of numeric simulations.

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