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The boson peak (BP) is a universal feature in the Raman and inelastic scattering spectra of both disordered and crystalline materials. The current paradigm presents the boson peak as the result of a Ioffe-Regel crossover between ballistic…

Disordered Systems and Neural Networks · Physics 2022-01-14 Zeng-Yu Yang , Yun-Jiang Wang , Alessio Zaccone

A hallmark of structural glasses and other disordered solids is the emergence of excess low-frequency vibrations, on top of the Debye spectrum $D_{\rm Debye}(\omega)$ of phonons ($\omega$ denotes the vibrational frequency), which exist in…

Soft Condensed Matter · Physics 2023-08-25 Edan Lerner , Eran Bouchbinder

The boson peak (BP) is an excess of vibrational states over the Debye law appearing at terahertz frequencies. It is found in all glasses and marks the crossover between the long-wavelength behavior, where the solid can be considered as an…

Disordered Systems and Neural Networks · Physics 2020-11-23 Giacomo Baldi , Aldo Fontana , Giulio Monaco

Glasses are amorphous solids, in the sense that they display elastic behaviour. In crystals, elasticity is associated with phonons, quantized sound-wave excitations. Phonon-like excitations exist also in glasses at very high frequencies…

Condensed Matter · Physics 2016-08-31 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

A hallmark of glasses is an excess of low-frequency, nonphononic vibrations, in addition to phonons. It is associated with the intrinsically nonequilibrium and disordered nature of glasses, and is generically manifested as a THz peak -- the…

Disordered Systems and Neural Networks · Physics 2024-09-02 Avraham Moriel , Edan Lerner , Eran Bouchbinder

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

Glasses and disordered materials are known to display anomalous features in the density of states, in the specific heat and in thermal transport. Nevertheless, in recent years, the question whether these properties are really anomalous (and…

Disordered Systems and Neural Networks · Physics 2021-03-26 Matteo Baggioli , Alessio Zaccone

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…

Condensed Matter · Physics 2009-11-10 S. Ciliberti , T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

The Boson peak (BP), an excess of vibrational density of states, is ubiquitous for amorphous materials and is believed to hold the key to understanding the dynamics of glass and glass transition. Previous studies have established an energy…

Materials Science · Physics 2023-11-08 X. Y. Li , H. P. Zhang , S. Lan , D. L. Abernathy , C. H. Hu , L. R. Fan , M. Z. Li , X. -L. Wang

The boson peak (BP), a low-energy excess in the vibrational density of states over the phonon Debye contribution, is usually identified as one of the distinguishing features between ordered crystals and amorphous solid materials. Despite…

Soft Condensed Matter · Physics 2023-08-23 Cunyuan Jiang , Matteo Baggioli , Jack F. Douglas

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

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…

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

In glasses, atomic disorder combined with atomic connectivity makes understanding of the nature of the vibrations much more complex than in crystals or molecules. With a simple model, however, it is possible to show how disorder generates…

Disordered Systems and Neural Networks · Physics 2019-08-23 B. Hehlen , B. Rufflé

Two nearly universal and anomalous properties of glasses, the peak in the specific heat and plateau of the thermal conductivity, occur around the same temperature. This coincidence suggests that the two phenomena are related. Both effects…

Disordered Systems and Neural Networks · Physics 2025-04-23 Elijah Flenner , Grzegorz Szamel

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

High frequency sound is observed in lithium diborate glass, Li$_2$O--2B$_2$O$_3$, using Brillouin scattering of light and x-rays. The sound attenuation exhibits a non-trivial dependence on the wavevector, with a remarkably rapid increase…

Disordered Systems and Neural Networks · Physics 2011-09-16 B. Rufflé , G. Guimbretière , E. Courtens , R. Vacher , G. Monaco

It is widely accepted that structural glasses and disordered crystals exhibit anomalies in the their thermal, mechanical and acoustic properties as manifestations of the breakdown of the long-wavelength approximation in a disordered…

Materials Science · Physics 2020-03-24 M. Baggioli , A. Zaccone

Glasses are structurally disordered solids that host, in addition to crystalline-like phonons, vibrational excitations with no direct phononic counterpart. A long-standing universal signature is the excess vibrational density of…

Soft Condensed Matter · Physics 2026-01-28 Hideyuki Mizuno , Emi Minamitani

Amorphous solids manifest puzzling effects of mysterious degrees of freedom that give rise to a heat capacity and phonon scattering in great excess over what would be expected for a solid that has a unique vibrational ground state. Of…

Disordered Systems and Neural Networks · Physics 2018-10-11 Vassiliy Lubchenko
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