Phonons in Random Elastic Media and the Boson Peak

Abstract

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.

References in corpus (2)

• Anharmonicity, vibrational instability and Boson peak in glasses
• Magnon Localization in Mattis Glass

Cited by in corpus (8)

• The Boson Peak and its Relation with Acoustic Attenuation in Glasses
• On the analysis of the vibrational Boson peak and low-energy excitations in glasses
• Analog model for quantum gravity effects: phonons in random fluids
• Speed of sound in disordered Bose-Einstein condensates
• Analogue stochastic gravity phenomena in two-component Bose-Einstein condensates: Sound cone fluctuations
• Disorder induced transition into a one-dimensional Wigner glass
• The Fermi problem in disordered systems
• Quantum stochastic behaviour in cold Fermi gases: Phonon propagation