Phonons in Random Elastic Media and the Boson Peak

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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Scientific paper

10.1103/PhysRevLett.94.245502

We show that the density of states of random wave equations, normalized by
the square of the frequency, has a peak - sometimes narrow and sometimes broad
- in the range of wave vectors between the disorder correlation length and the
interatomic spacing. The results of this letter may be relevant for
understanding vibrational spectra and light propagation in disordered solids.

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