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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…

We present in this paper a numerical study of the vibrational eigenvectors of a two-dimensional amorphous material, previously deeply studied from the point of view of mechanical properties and vibrational eigen-frequencies [7-10].…

Disordered Systems and Neural Networks · Physics 2011-06-17 F. Léonforte

Using the example of a two-dimensional macroscopic model glass in which the interparticle forces can be precisely measured, we obtain strong hints for resolving a controversy concerning the origin of the anomalous enhancement of the…

Soft Condensed Matter · Physics 2018-11-21 Yinqiao Wang , Liang Hong , Yujie Wang , Walter Schirmacher , Jie Zhang

A layered system of two-dimensional planes containing fermionic polar molecules can potentially realize a number of exotic quantum many-body states. Among the predictions, are density-wave instabilities driven by the anisotropic part of the…

Quantum Gases · Physics 2015-03-18 N. T. Zinner , G. M. Bruun

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

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 two most prominent and ubiquitous features of glasses at low temperatures, namely the presence of tunneling two-level systems and the so-called boson peak in the reduced vibrational density of states, are shown to persist essentially…

Disordered Systems and Neural Networks · Physics 2014-05-22 Tomás Pérez-Castañeda , Rafael J. Jiménez-Riobóo , Miguel A. Ramos

The low-temperature properties of glasses present important differences with respect to crystalline matter. In particular, models such as the Debye model of solids, which assume the existence of an underlying regular lattice, predict that…

Disordered Systems and Neural Networks · Physics 2023-01-03 Matteo Baggioli , Rico Milkus , Alessio Zaccone

Low-frequency Raman and inelastic neutron scattering of amorphous bis-phenol A polycarbonate is measured at low temperature, and compared. The vibrational density of states and light-vibration coupling coefficient are determined. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Saviot , E. Duval , J. F. Jal , A. J. Dianoux

We present a novel analytical model for glasses, starting from the first principle that the disorder in a glass mimics the disorder in a fluid. The origin of the boson peak is attributed to the intrinsically noncommutative geometry of the…

Disordered Systems and Neural Networks · Physics 2018-06-12 T. R. Cardoso , A. Tureanu

The interplay between an open quantum system and its environment can lead to both coherent and incoherent behaviour. We explore the extent to which strong coupling to a single bosonic mode can alter the coherence properties of a two-level…

Quantum Physics · Physics 2016-04-20 E. K. Levi , E. K. Irish , B. W. Lovett

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

We introduce an algorithm that constructs disordered mass-spring networks whose elastic properties mimic that of glasses by tuning the fluctuations of the local elastic properties, keeping fixed connectivity and controlling the prestress.…

Disordered Systems and Neural Networks · Physics 2023-08-23 Shivam Mahajan , Massimo Pica Ciamarra

The topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

Based on a description of an amorphous solid as a collection of coupled nanosize molecular clusters referred as basic blocks, we analyse the statistical properties of its Hamiltonian. The information is then used to derive the ensemble…

Statistical Mechanics · Physics 2021-08-24 Pragya Shukla

Using heterogeneous-elasticity theory (HET) and a generalisation of HET theory (GHET), obtained by applying a newly developed procedure for obtaining the continuum limit of the glass's Hessian, we investigate the nature of vibrational…

Disordered Systems and Neural Networks · Physics 2024-04-11 Walter Schirmacher , Matteo Paoluzzi , Felix Cosmin Mocanu , Dmytro Khomenko , Grzegorz Szamel , Francesco Zamponi , Giancarlo Ruocco

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 investigate the dynamics of an ensemble of inelastic hard spheres confined between two horizontal plates separated a distance smaller than twice the diameter of the particles, in such a way that the system is quasi-two-dimensional. The…

Statistical Mechanics · Physics 2019-03-27 P. Maynar , M. I. García de Soria , J. Javier Brey

Low-frequency vibrational harmonic modes of glasses are frequently used to understand their universal low-temperature properties. One well studied feature is the excess low-frequency density of states over the Debye model prediction. Here…

Disordered Systems and Neural Networks · Physics 2023-04-05 Lijin Wang , Grzegorz Szamel , Elijah Flenner

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