RT Journal Article T1 The Boson peak and the phonons in glasses A1 Ciliberti, S. A1 Grigera, T.S. A1 Martín Mayor, Víctor A1 Parisi, G. A1 Verrocchio, P. AB Despite 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 states over the standard Debye contribution at the vibrational density of states. Exploiting the euclidean random matrix theory of vibrations in amorphous systems, we show that this peak is the signature of a phase transition in the space of the stationary points of the energy, from a minima-dominated phase (with phonons) at low energy to a saddle-point dominated phase (without phonons). The theoretical predictions are checked by means of numeric simulations. PB American Institute of Physics SN 0094-243x YR 2004 FD 2004-06 LK https://hdl.handle.net/20.500.14352/52190 UL https://hdl.handle.net/20.500.14352/52190 LA eng NO © 2004 American Institute of Physics. International Symposium on Slow Dynamics in Complex Systems (3rd. 2004. Sendai, Japan). V.M.-M. is a Ramón y Cajal research fellow (MCyT, Spain). P.V. was supported through the European Community's Human Potential Programme under contract HPRN-CT-2002-00307, DYGLAGEMEM. NO Ramón y Cajal research fellow (MCyT, Spain) NO European Community's Human Potential Programme DS Docta Complutense RD 4 may 2024