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Vibrations in glasses and Euclidean Random Matrix theory

T. S. Grigera·V. Martin-Mayor·G. Parisi·P. Verrocchio
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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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T. S. Grigera, V. Martin-Mayor, G. Parisi, P. Verrocchio. 2001-10-21. Vibrations in glasses and Euclidean Random Matrix theory. https://doi.org/10.1088/0953-8984%2F14%2F9%2F306

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