The Boson peak and the phonons in glasses

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 vibrati...

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Detalhes bibliográficos
Autores: Ciliberti, S., Grigera, T.S., Martín Mayor, Víctor, Parisi, G., Verrocchio, P.
Tipo de documento: artigo
Data de publicação:2004
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/52190
Acesso em linha:https://hdl.handle.net/20.500.14352/52190
Access Level:Acceso aberto
Palavra-chave:53
Instantaneous normal-modes
Density-of-states
Dynamical structure factor
Random-matrix theory
Supercooled liquids
Vibrational excitations
Disordered-systems
Vitreous silica
Relaxation processes
Molucular-dynamics.
Física-Modelos matemáticos
Descrição
Resumo: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.