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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…

We study, analytically and numerically, an off-lattice model of scalar harmonic vibrations for structural glasses. The model has a Boson-Peak which we argue can be considered as a prototype for materials with a Boson Peak frequency that…

Condensed Matter · Physics 2007-05-23 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

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

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 low-temperature properties of amorphous solids are widely believed to be controlled by low-frequency quasi-localized modes. What governs their spatial structure and density is however debated. We study these questions numerically in…

Disordered Systems and Neural Networks · Physics 2019-07-17 Masanari Shimada , Hideyuki Mizuno , Matthieu Wyart , Atsushi Ikeda

In this study, a new alternative model algorithm has been proposed for assembling amorphous structures, unifying the bosonic paradigm applicable at low temperatures with crystalline models relevant at room and higher temperatures. Physical…

Materials Science · Physics 2026-02-02 A. Berezner , M. Rybakov , M. Sidlyar , V. Fedorov

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

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

Experimental results on the density of states and on the acoustic modes of glasses in the THz region are compared to the predictions of two categories of models. A recent one, solely based on an elastic instability, does not account for…

Disordered Systems and Neural Networks · Physics 2011-09-16 B. Rufflé , D. A. Parshin , E. Courtens , R. Vacher

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

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

We present theoretical investigation on the high-frequency collective dynamics in liquids and glasses at microscopic length scales and terahertz frequency region based on the mode-coupling theory for ideal liquid-glass transition. We focus…

Soft Condensed Matter · Physics 2009-11-11 Song-Ho Chong

A theory for the vibrational dynamics in disordered solids [W. Schirmacher, Europhys. Lett. {\bf 73}, 892 (2006)], based on the random spatial variation of the shear modulus, has been applied to determine the wavevector ($k$) dependence of…

Materials Science · Physics 2007-05-23 W. Schirmacher , G. Ruocco , T. Scopigno

A detailed pressure-dependence study of the low-energy excitations of glassy As2S3 is reported over a wide pressure range, up to 10 GPa. The spectral features of Boson peak are analysed as a function of pressure. Pressure effects on the…

Disordered Systems and Neural Networks · Physics 2009-11-11 K. S. Andrikopoulos , D. Christofilos , G. A. Kourouklis , S. N. Yannopoulos

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

Solid materials that deviate from the harmonic crystal paradigm exhibit characteristic anomalies in the specific heat and vibrational density of states (VDOS) with respect to Debye's theory predictions. The boson peak (BP), a low-frequency…

Soft Condensed Matter · Physics 2024-09-19 Cunyuan Jiang , Matteo Baggioli

We argue that the intrinsic glassy degrees of freedom in amorphous solids giving rise to the thermal conductivity plateau and the ``boson peak'' in the heat capacity at moderately low temperatures are directly connected to those motions…

Disordered Systems and Neural Networks · Physics 2009-11-07 Vassiliy Lubchenko , Peter G. Wolynes

Amorphous materials exhibit peculiar mechanical and vibrational properties, including non-affine elastic responses and excess vibrational states, i.e., the so-called boson peak. For polymer glasses, these properties are considered to be…

Soft Condensed Matter · Physics 2021-06-01 Naoya Tomoshige , Shota Goto , Hideyuki Mizuno , Tatsuya Mori , Kang Kim , Nobuyuki Matubayasi

We show that the same physical mechanism is fundamental for two seemingly different phenomena such as the formation of two-level systems in glasses and the Boson peak in the reduced density of low-frequency vibrational states g(w)/w^2. This…

Disordered Systems and Neural Networks · Physics 2010-08-02 D. A. Parshin , V. L. Gurevich , H. R. Schober

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