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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

The nature of dielectric echoes in amorphous solids at low temperatures is investigated. It is shown that at long delay times the echo amplitude is determined by a small subset of two level systems (TLS) having negligible relaxation and…

The unconventional thermal properties of jammed amorphous solids are directly related to their density of vibrational states. While the vibrational spectrum of jammed soft sphere solids has been fully described, the vibrational spectrum of…

Soft Condensed Matter · Physics 2020-07-01 Francesco Arceri , Eric I. Corwin

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…

The Boson peak is a universal phenomenon in amorphous solids. It can be observed as an anomalous contribution to the low-temperature heat capacity over the Debye model. Amorphous phase-change materials (PCMs) such as Ge-Sb-Te are a family…

Materials Science · Physics 2024-04-29 Jens Moesgaard , Tomoki Fujita , Shuai Wei

Optical phonons in nanoparticles with the randomness of interatomic bonds are considered both analytically and numerically. For weak dilute disorder two qualitatively different regimes of separated and overlapped levels are observed,…

Mesoscale and Nanoscale Physics · Physics 2021-08-27 Oleg I. Utesov , Sergei V. Koniakhin , Andrey G. Yashenkin

We present a general harmonic theory for the temperature dependence of phonon-renormalized properties of solids. Firstly, we formulate a perturbation theory in phonon-phonon interactions to calculate the phonon renormalization of physical…

Materials Science · Physics 2015-10-28 Bartomeu Monserrat , G. J. Conduit , R. J. Needs

A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincar\'e symmetry. In this paper we derive new soft theorems constraining the tree-level scattering of…

High Energy Physics - Theory · Physics 2024-05-13 Clifford Cheung , Maria Derda , Andreas Helset , Julio Parra-Martinez

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

Amorphous solids, and many disordered lattices, exhibit a remarkable qualitative and quantitative universality in their acoustic properties at temperature $\lesssim 3$K. This phenomenon is attributed to the existence of tunneling two level…

Mesoscale and Nanoscale Physics · Physics 2014-03-11 A. Churkin , D. Barash , M. Schechter

Controlling the vibrations in solids is crucial to tailor their mechanical properties and their interaction with light. Thermal vibrations represent a source of noise and dephasing for many physical processes at the quantum level. One…

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), 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

Crystalline solids are generally known as excellent heat conductors, amorphous materials or glasses as thermal insulators. It has thus come as a surprise that certain crystal structures defy this paradigm. A prominent example are type-I…

Strongly Correlated Electrons · Physics 2019-02-22 M. Ikeda , H. Euchner , X. Yan , P. Tomes , A. Prokofiev , L. Prochaska , G. Lientschnig , R. Svagera , S. Hartmann , E. Gati , M. Lang , S. Paschen

The emergence of phonon frequency combs exemplifies a rare and intriguing phenomenon in quantum solids. Materials with distinctive phonon band structures are especially promising for hosting such states, as their vibrational dispersion…

We study amorphous solids with strong elastic disorder and find an un-jamming instability that exists, inter alia, in an harmonic model built using Euclidean random matrices (ERM). Employing the Zwanzig-Mori projection operator formalism…

Soft Condensed Matter · Physics 2024-05-13 Florian Vogel , Philipp Baumgärtel , Matthias Fuchs

Knowledge of lattice anharmonicity is essential to elucidate distinctive thermal properties in crystalline solids. Yet, accurate \textit{ab initio} investigations of lattice anharmonicity encounter difficulties owing to the cumbersome…

Materials Science · Physics 2022-04-13 Zhen Zhang , Dong-Bo Zhang , Tao Sun , Renata M. Wentzcovitch

All solids, whether crystalline or disordered, support elastic wave propagation with a linear dispersion relation in the long-wavelength limit. These waves, corresponding to low-frequency phonons, feature a vibrational density of states…

Soft Condensed Matter · Physics 2026-05-07 Edan Lerner , Eran Bouchbinder

Amorphous solids are dynamically inhomogeneous due to in lack of translational symmetry and hence exhibit vibrational properties different from crystalline solids with anomalous low frequency vibrational density of states (VDOS) and related…

Soft Condensed Matter · Physics 2025-08-01 Cunyuan Jiang

It is argued that the specific heat of amorphous solids at low temperatures can be understood to arise from a single branch of collective modes. The idea is illustrated in a model of a correlated spin glass for which magnetic anisotropies…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Hector Ochoa