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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

The boson peak (BP), a low-energy excess in the vibrational density of states over the Debye contribution, is often identified as a characteristic of amorphous solid materials. Despite decades of efforts, its microscopic origin still…

Soft Condensed Matter · Physics 2024-06-10 Cunyuan Jiang , Matteo Baggioli , Jack F. Douglas

In amorphous solids, the vibrational density of states shows an excess of modes over the Debye model, known as the boson peak, whose origin remains unclear. Studies suggest a link to quasi-localized nonphononic vibrations or 'defects,' but…

Soft Condensed Matter · Physics 2025-10-10 Shivam Mahajan , Darryl Seow Yang Han , Cunyuan Jiang , Matteo Baggioli , Massimo Pica Ciamarra

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 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

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

The vibrational spectra of solids, both ordered and amorphous, in the low-energy regime, control the thermal and transport properties of materials, from heat capacity to heat conduction, electron-phonon couplings, conventional…

Soft Condensed Matter · Physics 2019-04-17 Matteo Baggioli , Alessio Zaccone

The boson peak is a characteristic anomaly of amorphous solids broadly defined as a low-energy excess in the density of states and heat capacity compared to the textbook predictions of Debye theory. The origin of this anomaly has long been…

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 vibrational density of states $D(\omega)$ of solids controls their thermal and transport properties. In crystals, the low-frequency modes are extended phonons distributed in frequency according to Debye's law, $D(\omega) \propto…

Soft Condensed Matter · Physics 2021-12-01 Shivam Mahajan , Massimo Pica Ciamarra

Vibrational density of states (VDOS) in a supercooled polydisperse liquid is computed by diagonalizing the Hessian matrix evaluated at the potential energy minima for systems with different values of polydispersity. An increase of…

Other Condensed Matter · Physics 2015-05-13 Sneha Elizabeth Abraham , Biman Bagchi

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

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

A theory of vibrational excitations based on power-law spatial correlations in the elastic constants (or equivalently in the internal stress) is derived, in order to determine the vibrational density of states $D(\omega)$ of disordered…

Disordered Systems and Neural Networks · Physics 2020-11-30 Bingyu Cui , Alessio Zaccone

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 origin of the excess vibrational density of states (DOS) beyond Debye's theory in amorphous solids (often referred to as the Boson peak) has been attributed to the presence of quasi-localized vibrational modes in recent years. However,…

Disordered Systems and Neural Networks · Physics 2026-01-15 Cunyuan Jiang

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

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

The nature of bosonic excitations in disordered materials has remained elusive due to the difficulties in defining key concepts such as quasi-particles in the presence of disorder. We report on the experimental observation of…

Disordered Systems and Neural Networks · Physics 2021-01-05 Luigi Casella , Matteo Baggioli , Tatsuya Mori , Alessio Zaccone
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