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Related papers: Vibrational dynamics of non-crystalline solids

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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

We poorly understand the properties of amorphous systems at small length scales, where a continuous elastic description breaks down. This is apparent when one considers their vibrational and transport properties, or the way forces propagate…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthieu Wyart

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

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 inelastic scattering intensities of glasses and amorphous materials has a maximum at a low frequency, the so called Boson peak. Under applied hydrostatic pressure, $P$, the Boson peak frequency, $\omega_{\rm b}$, is shifted upwards. We…

Disordered Systems and Neural Networks · Physics 2009-11-10 V. L. Gurevich , D. A. Parshin , H. R. Schober

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…

A 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…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Ciliberti , T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

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 scaling behavior of the so-called boson peak in glass-formers and its relation to the elastic properties of the system remains a source of controversy. Here, the boson peak in a binary reactive mixture is measured by Raman scattering…

Soft Condensed Matter · Physics 2013-08-06 Silvia Corezzi , Silvia Caponi , Flavio Rossi , Daniele Fioretto

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

We present a random matrix approach to study general vibrational properties of stable amorphous solids with translational invariance using the correlated Wishart ensemble. Within this approach, both analytical and numerical methods can be…

Disordered Systems and Neural Networks · Physics 2021-03-24 D. A. Conyuh , Y. M. Beltukov

The lattice dynamics of the silica polymorph {\alpha}-cristobalite has been investigated by a combination of diffuse and inelastic x-ray scattering and ab initio lattice dynamics calculations. Phonon dispersion relations and vibrational…

We proposed a non-analytic model to explain the microscopic origin of the anomalous vibrational density of states (DOS), the Boson peak (BP), in amorphous solids based on the scalar dynamical matrix of a network with springs and nodes. We…

Disordered Systems and Neural Networks · Physics 2026-05-12 Cunyuan Jiang

Vibrational spectra of proteins and topologically disordered solids display a common anomaly at low frequencies, known as Boson peak. We show that such feature in globular proteins can be deciphered in terms of an energy landscape picture,…

Soft Condensed Matter · Physics 2007-05-23 Stefano Ciliberti , Paolo De Los Rios , Francesco Piazza

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…

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

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 vibrational properties of model amorphous materials are studied by combining complete analysis of the vibration modes, dynamical structure factor and energy diffusivity with exact diagonalization of the dynamical matrix and the Kernel…

Disordered Systems and Neural Networks · Physics 2016-02-18 Y. M. Beltukov , C. Fusco , D. A. Parshin , A. Tanguy

The low-temperature thermal properties of dielectric crystals are governed by acoustic excitations with large wavelengths that are well described by plane waves. This is the Debye model, which rests on the assumption that the medium is an…

Statistical Mechanics · Physics 2015-05-13 Giulio Monaco , Stefano Mossa

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