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First-principles calculations are used in order to investigate phonon anomalies in non-magnetic and magnetic Heusler alloys. Phonon dispersions for several systems in their cubic L2$\mathrm{_1}$ structure were obtained along the [110]…

Materials Science · Physics 2016-08-31 A. T. Zayak , P. Entel , K. M. Rabe , W. A. Adeagbo , M. Acet

The anharmonic soft modes studied in recent numerical work in the glass phase of simple liquids have an unstable core, stabilized by the positive restoring forces of the surrounding elastic medium. The present paper formulates an unstable…

Disordered Systems and Neural Networks · Physics 2020-04-02 U. Buchenau

Low-temperature properties of crystalline solids can be understood using harmonic perturbations around a perfect lattice, as in Debye's theory. Low-temperature properties of amorphous solids, however, strongly depart from such descriptions,…

Soft Condensed Matter · Physics 2016-07-29 Ludovic Berthier , Patrick Charbonneau , Yuliang Jin , Giorgio Parisi , Beatriz Seoane , Francesco Zamponi

It was recently shown that different simple models of glass formers with binary interactions define a universality class in terms of the density of states of their quasi-localized low-frequency modes. Explicitly, once the hybridization with…

Soft Condensed Matter · Physics 2020-08-26 Silvia Bonfanti , Roberto Guerra , Chandana Mondal , Itamar Procaccia , Stefano Zapperi

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

We report the first measurements of the effect of pressure on vibrational modes in emulsions, which serve as a model for soft frictionless spheres at zero temperature. As a function of the applied pressure, we find that the density of…

Soft Condensed Matter · Physics 2016-11-15 Jie Lin , Ivane Jorjadze , Lea-Laetitia Pontani , Matthieu Wyart , Jasna Brujic

The attenuation of long-wavelength phonons (waves) by glassy disorder plays a central role in various glass anomalies, yet it is neither fully characterized, nor fully understood. Of particular importance is the scaling of the attenuation…

Soft Condensed Matter · Physics 2021-03-23 Avraham Moriel , Geert Kapteijns , Corrado Rainone , Jacques Zylberg , Edan Lerner , Eran Bouchbinder

Lennard-Jones glasses (made on a computer by quenching from liquid state coordinates) are studied in harmonic approximation. Vibrational eigenfrequencies and eigenvectors are found by exact diagonalization for models with periodic…

Materials Science · Physics 2007-05-23 Philip B. Allen , W. Garber , L. Angelani

We estimate numerically the normal modes of the free energy in a glass of hard discs. We observe that, near the glass transition or after a rapid quench deep in the glass phase, the density of states (i) is characteristic of a marginally…

Soft Condensed Matter · Physics 2008-05-09 Carolina Brito , Matthieu Wyart

We calculate low-frequency Raman scattering from the confined acoustic phonon modes of CdS1-xSex nanoparticles embedded in borosilicate glass. The calculation of the Raman scattering by acoustic phonons in nanoparticles has been performed…

Mesoscale and Nanoscale Physics · Physics 2009-04-16 Sanjeev K. Gupta , Prafulla K. Jha , Satyaprakash Sahoo , A. K. Arora , Y. M. Azhniuk

At low temperatures, glasses exhibit distinctive properties compared to crystalline solids. A notable example is the phonon echo, a phenomenon that motivated the two-level-system (TLS) model. This model has successfully explained many…

Disordered Systems and Neural Networks · Physics 2026-02-17 Di Zhou

We study a recently introduced and exactly solvable mean-field model for the density of vibrational states $\mathcal{D}(\omega)$ of a structurally disordered system. The model is formulated as a collection of disordered anharmonic…

Disordered Systems and Neural Networks · Physics 2021-05-10 Eran Bouchbinder , Edan Lerner , Corrado Rainone , Pierfrancesco Urbani , Francesco Zamponi

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 $T=0$,…

Disordered Systems and Neural Networks · Physics 2023-06-09 Florian Vogel , Matthias Fuchs

We show through simulations of amorphous solids prepared in open boundary conditions that they possess significantly fewer low-frequency vibrational modes compared to their periodic boundary counterparts. Specifically, using measurements of…

Soft Condensed Matter · Physics 2024-01-05 Surajit Chakraborty , Vishnu V. Krishnan , Kabir Ramola , Smarajit Karmakar

Understanding the fracture toughness of glasses is of prime importance for science and technology. We study it here using extensive atomistic simulations in which the interaction potential, glass transition cooling rate and loading geometry…

Soft Condensed Matter · Physics 2022-01-11 David Richard , Edan Lerner , Eran Bouchbinder

The disorder-induced attenuation of elastic waves is central to the universal low-temperature properties of glasses. Recent literature offers conflicting views on both the scaling of the wave attenuation rate $\Gamma(\omega)$ in the…

Soft Condensed Matter · Physics 2021-03-17 Geert Kapteijns , David Richard , Eran Bouchbinder , Edan Lerner

Low frequency quasi-localized modes of amorphous glasses appear to exhibit universal density of states, depending on the frequencies as $D(\omega) \sim \omega^4$. To date various models of glass formers with short range binary interaction,…

Statistical Mechanics · Physics 2020-07-15 Prasenjit Das , H. George E. Hentschel , Edan Lerner , Itamar Procaccia

The notion of topology in physical systems is associated with the existence of a nonlocal ordering that is insensitive to a large class of perturbations. This brings robustness to the behaviour of the system and can serve as a ground for…

Quantum Gases · Physics 2022-06-08 Marco Di Liberto , Andreas Kruckenhauser , Peter Zoller , Mikhail A. Baranov

We study a disordered vibrational model system, where the spring constants k are chosen from a distribution P(k) ~ 1/k above a cut-off value k_min > 0. We can motivate this distribution by the presence of free volume in glassy materials. We…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jan W. Kantelhardt , Stefanie Russ , Armin Bunde

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