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Ciliberti, S. ; Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Verrocchio, P. | American Physical Society | 2005-04-11We study the spectra and localization properties of Euclidean random matrices defined on a random graph. We introduce a powerful method to find the density of states and the localization threshold in topologically disordered soff-latticed system[...]texto impreso
Ciliberti, S. ; Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Verrocchio, P. | American Institute of Physics | 2003-10-21A simple model of harmonic vibrations in topologically disordered systems, such as glasses and supercooled liquids, is studied analytically by extending Euclidean random matrix theory to include vector vibrations. Rather generally, it is found t[...]texto impreso
Ciliberti, S. ; Grigera, T.S. ; Martín Mayor, Víctor ; Parisi, G. ; Verrocchio, P. | American Institute of Physics | 2004-06Despite 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 sta[...]
