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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…

材料科学 · 物理学 2025-10-24 Alessio Zaccone

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,…

无序系统与神经网络 · 物理学 2009-11-07 V. L. Gurevich , D. A. Parshin , H. R. Schober

Boson peak (BP) dynamics refers to the universal excitation in the terahertz region of glass. In this study, the universal dynamics of BP were quantitatively evaluated in various glassy materials based on the heterogeneous elasticity theory…

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…

无序系统与神经网络 · 物理学 2009-11-10 V. L. Gurevich , D. A. Parshin , 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,…

无序系统与神经网络 · 物理学 2026-01-15 Cunyuan Jiang

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…

软凝聚态物质 · 物理学 2024-06-10 Cunyuan Jiang , Matteo Baggioli , Jack F. Douglas

Despite extensive theoretical \cite{GanterPRL1998, ElliotPRL2001,SchirmacherPRL2007, TanakaNatureM2008, MonacoPNAS2009, MarruzzoSCIRP2013} and experimental studies \cite{ChumakovPRL2011, ChumakovPRL2014, KayaScience2010,KChenPRL2010,…

软凝聚态物质 · 物理学 2016-10-20 Ling Zhang , Jie Zheng , Jie Zhang

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…

软凝聚态物质 · 物理学 2024-09-19 Cunyuan Jiang , Matteo Baggioli

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…

软凝聚态物质 · 物理学 2019-04-17 Matteo Baggioli , Alessio Zaccone

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…

材料科学 · 物理学 2007-05-23 W. Schirmacher , G. Ruocco , T. Scopigno

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…

无序系统与神经网络 · 物理学 2018-06-12 T. R. Cardoso , A. Tureanu

The Boson peak is believed to be the key to the fundamental understanding of the anomalous thermodynamic properties of glasses, notably the anomalous peak in the heat capacity at low temperatures; it is believed to be due to an excess of…

软凝聚态物质 · 物理学 2014-03-13 Rojman Zargar , John Russo , Peter Schall , Hajime Tanaka , Daniel Bonn

We construct a quantum mechanical model of perfectly isotropic amorphous solids as fuzzy crystals and establish an analytical theory of vibrations for glasses at low temperature. Our theoretical framework relies on the basic principle that…

无序系统与神经网络 · 物理学 2021-05-21 T. Cardoso e Bufalo , R. Bufalo , A. Tureanu

The boson peak appears in all amorphous solids and is an excess of vibrational states at low frequencies compared to the phonon spectrum of the corresponding crystal. Until recently, the consensus was that it originated from "defects" in…

材料科学 · 物理学 2016-12-16 Tobias Brink , Leonie Koch , Karsten Albe

A theory of phonon-mediated superconductivity in strong-coupling amorphous materials is developed based on an effective description of structural disorder and its effect on the vibrational spectrum. The theory accounts for the…

超导电性 · 物理学 2020-06-05 Matteo Baggioli , Chandan Setty , Alessio Zaccone

The vibrational anomalies of glasses, in particular the boson peak, are addressed from the standpoint of heterogeneous elasticity, namely the spatial fluctuations of elastic constants caused by the structural disorder of the amorphous…

无序系统与神经网络 · 物理学 2020-09-15 Walter Schirmacher , Giancarlo Ruocco

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…

软凝聚态物质 · 物理学 2018-11-21 Yinqiao Wang , Liang Hong , Yujie Wang , Walter Schirmacher , Jie Zhang

Disordered systems exhibit universal excitation, referred to as the boson peak, in the terahertz region. Meanwhile, the so-called fracton is expected to appear in the nanoscale region owing to the self-similar structure of monomers in…

Phonon spectra of solid substitutional solutions with finite concentrations of impurities were analyzed on the microscopic level. The local phonon densities of impurity atoms were calculated, in particular the formation of quasilocal…

We investigate the vibrational properties of topologically disordered materials by analytically studying particles that harmonically oscillate around random positions. Exploiting classical field theory in the thermodynamic limit at $T=0$,…

无序系统与神经网络 · 物理学 2023-06-09 Florian Vogel , Matthias Fuchs