Vibrations in glasses and Euclidean Random Matrix theory
T. S. Grigera, V. Martin-Mayor, G. Parisi, P. Verrocchio
Abstract
We study numerically and analytically a simple off-lattice model of scalar harmonic vibrations by means of Euclidean random matrix theory. Since the spectrum of this model shares the most puzzling spectral features with the high-frequency domain of glasses (non-Rayleigh broadening of the Brillouin peak, boson peak and secondary peak), the Euclidean random matrix theory provide a single and fairly simple theoretical framework to their explanation.
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