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Implications of reduction procedures applied to the low energy part of the vibrational density of states in glasses and supercooled liquids are considered by advancing a detailed comparison between the excess - over the Debye limit -…

Disordered Systems and Neural Networks · Physics 2009-11-11 S. N. Yannopoulos , K. S. Andrikopoulos , G. Ruocco

Phonon spectra in solids often display anomalies that defy the simple Debye law, most prominently the van Hove singularity in crystals and the boson peak in glasses. Although traditionally regarded as distinct, both features are…

Materials Science · Physics 2025-10-24 Alessio Zaccone

All solids, whether crystalline or disordered, support elastic wave propagation with a linear dispersion relation in the long-wavelength limit. These waves, corresponding to low-frequency phonons, feature a vibrational density of states…

Soft Condensed Matter · Physics 2026-05-07 Edan Lerner , Eran Bouchbinder

We study a disordered vibrational model system, where the spring constants k are chosen from a distribution P(k) ~ 1/k above a cut-off value k_min > 0. We can motivate this distribution by the presence of free volume in glassy materials. We…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jan W. Kantelhardt , Stefanie Russ , Armin Bunde

We develop an analytical model to describe the phonon dispersion relations of host-guest lattices with heavy guest atoms (rattlers). Crucially, the model also accounts for phonon damping arising from anharmonicity. The spectrum of low…

Materials Science · Physics 2020-02-20 Matteo Baggioli , Bingyu Cui , Alessio Zaccone

The high-frequency excitations in glasses and supercooled liquids belong to the great mysteries of the physics of condensed matter. While the fast process, located at GHz-THz, can be interpreted as encaged molecular motion, the occurrence…

Soft Condensed Matter · Physics 2007-05-23 P. Lunkenheimer , A. Loidl

The Boson peak is a universal phenomenon in amorphous solids. It can be observed as an anomalous contribution to the low-temperature heat capacity over the Debye model. Amorphous phase-change materials (PCMs) such as Ge-Sb-Te are a family…

Materials Science · Physics 2024-04-29 Jens Moesgaard , Tomoki Fujita , Shuai Wei

The origin of boson peak -- an excess of density of states over Debye's model in glassy solids -- is still under intense debate, among which some theories and experiments suggest that boson peak is related to van-Hove singularity. Here we…

It is well known that amorphous solids display a phonon spectrum where the Debye $\sim \omega^2$ law at low frequency melds into an anomalous excess-mode peak (the boson peak) before entering a quasi-localized regime at higher frequencies…

Disordered Systems and Neural Networks · Physics 2016-03-22 R. Milkus , A. Zaccone

The boson peak appears in all amorphous solids and is an excess of vibrational states at low frequencies compared to the phonon spectrum of the corresponding crystal. Until recently, the consensus was that it originated from "defects" in…

Materials Science · Physics 2016-12-16 Tobias Brink , Leonie Koch , Karsten Albe

The emergence of excess vibrational modes over the Debye prediction, typically manifested as the well-known boson peak in the plot of vibrational density of states scaled by the Debye prediction, has become a hallmark of various amorphous…

Soft Condensed Matter · Physics 2026-01-08 Licun Fu , Xinyu Chang , Lijin Wang

The dynamics of a soft sphere model glass, studied by molecular dynamics, is investigated. The vibrational density of states divided by $\omega^2$ shows a pronounced boson peak. Its shape is in agreement with the universal form derived for…

Disordered Systems and Neural Networks · Physics 2009-11-11 H. R. Schober

The boson peak is an excess in the phonon density of states relative to the Debye Model, which occurs at frequencies below the Debye limit. It is present in most amorphous materials and, as was recently shown, can sometimes be found also in…

The density of vibrational states $g(\omega)$ of an amorphous system is studied by using the random-matrix theory. Taking into account the most important correlations between elements of the random matrix of the system, equations for the…

Disordered Systems and Neural Networks · Physics 2020-01-08 D. A. Conyuh , Y. M. Beltukov , D. A. Parshin

The Boson peak is believed to be the key to the fundamental understanding of the anomalous thermodynamic properties of glasses, notably the anomalous peak in the heat capacity at low temperatures; it is believed to be due to an excess of…

Soft Condensed Matter · Physics 2014-03-13 Rojman Zargar , John Russo , Peter Schall , Hajime Tanaka , Daniel Bonn

Using generalized hydrodynamics, we study the thermal behavior of dipole-compression collective oscillations in a harmonically trapped one-dimensional (1D) Bose gas across the crossover from weak to strong repulsive contact interactions. A…

Quantum Gases · Physics 2026-03-25 Caroline Mauron , Karen V. Kheruntsyan , Giulia De Rosi

Phonon spectra of solid substitutional solutions with finite concentrations of impurities were analyzed on the microscopic level. The local phonon densities of impurity atoms were calculated, in particular the formation of quasilocal…

We show that a {\em vibrational instability} of the spectrum of weakly interacting quasi-local harmonic modes creates the maximum in the inelastic scattering intensity in glasses, the Boson peak. The instability, limited by anharmonicity,…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. L. Gurevich , D. A. Parshin , H. R. Schober

A close inspection of neutron spectra of glass formers in the frequency region above the boson peak does not show the constant eigenvalue density expected for a random dynamical matrix, but a slow decrease towards higher eigenvalues. In…

Disordered Systems and Neural Networks · Physics 2007-05-23 U. Buchenau , A. Wischnewski , M. Ohl , E. Fabiani

Boson peak, the excess low energy excitations in the terahertz regime, is one of the most unique features of disordered systems and has been linked to many anomalous properties of glass materials. The nature and structural origin of the…