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The vibrational modes of pristine and polycrystalline monolayer colloidal crystals composed of thermosensitive microgel particles are measured using video microscopy and covariance matrix analysis. At low frequencies, the Debye relation for…

We present two developments for the numerical integration of a function over the Brillouin zone. First, we introduce a nonuniform grid, which we refer to as the Farey grid, that generalizes regular grids. Second, we introduce…

Other Condensed Matter · Physics 2026-01-21 Siyu Chen , Pascal T. Salzbrenner , Bartomeu Monserrat

A large class of phononic crystals and mechanical metamaterials exhibit glide symmetry that dictates their functionality or exceptional performance. The glide symmetry gives rise to a number of intriguing phenomena like sticking-bands and…

Materials Science · Physics 2018-10-17 Pu Zhang

Thermal properties are of great interest in modern electronic devices and nanostructures. Calculating these properties is straightforward when the device is made from a pure material, but problems arise when alloys are used. Specifically,…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Timothy B. Boykin , Arvind Ajoy , Hesameddin Ilatikhameneh , Michael Povolotskyi , Gerhard Klimeck

Phonons are usually introduced by choosing a local displacement field. This paper keeps that local description, but identifies the global geometric object represented by it. The aim is not to change the local acoustic equations, but to…

Mathematical Physics · Physics 2026-05-12 Aleksey Prots

We propose a new optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems combining density-matrix and Lanczos algorithms. We demonstrate the reliablity of this approach by calculating the phase…

Strongly Correlated Electrons · Physics 2007-05-23 A. Weisse , H. Fehske , G. Wellein , A. R. Bishop

An algorithm for mapping the true phonon modes of a film, which are defined by a two-dimensional (2D) Brillouin zone, to the modes of the corresponding bulk material, which are defined by a three-dimensional (3D) Brillouin zone, is…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Hyun-Young Kim , Kevin D. Parish , Alan J. H. McGaughey

We observe anharmonic decay of the photoexcited coherent A1g phonon in bismuth to points in the Brillouin zone where conservation of momentum and energy are satisfied for three-phonon scattering. The decay of a coherent phonon can be…

The phonon density of states (DOS) of graphene with different types of point defects (carbon isotopes, substitution atoms, vacancies) is considered. Using a solvable model which is based on the harmonic approximation and the assumption that…

Materials Science · Physics 2010-12-21 Vadym M Adamyan , Vladimir V Zavalniuk

An optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems is proposed. The variational method is based on an expansion in coherent states that leads to a dramatic truncation in the phonon space.…

Strongly Correlated Electrons · Physics 2009-11-10 V. Cataudella , G. De Filippis , F. Martone , C. A. Perroni

Long-living coupled transverse and longitudinal phonon modes are explored in dense and regular arrangements of flat microfluidic droplets. The collective oscillations are driven by hydrodynamic interactions between the confined droplets and…

Soft Condensed Matter · Physics 2024-06-03 Jean-Baptiste Fleury , Ulf D Schiller , Shashi Thutupalli , Gerhard Gompper , Ralf Seemann

We propose and demonstrate phonon-number-resolving detection of the multiple local phonon modes in a trapped-ion chain. To mitigate the effect of phonon hopping during the detection process, the probability amplitude of each local phonon…

Quantum Physics · Physics 2019-12-11 Ryutaro Ohira , Takashi Mukaiyama , Kenji Toyoda

We introduce a unified approach to states of matter (solid, liquid and gas) and describe the thermodynamics of the pressure-temperature phase diagram in terms of phonon excitations. We derive the effective Hamiltonian with low-energy cutoff…

Statistical Mechanics · Physics 2015-12-23 Dima Bolmatov , Dmitry Zavyalov , Mikhail Zhernenkov , Edvard T. Musaev , Yong Q. Cai

The impact of dispersion relations, anisotropy, and Brillouin zone structure on intrinsic phonon scattering rates has been assessed within the harmonic approximation-perturbation theory approach for lattice dynamics. Anisotropic nonlinear…

Materials Science · Physics 2022-06-15 Ahmed Hamed , Anter El-Azab

We present a first-principles approach for calculating phonon-polariton dispersion relations. In this approach, phonon-photon interaction is described by quantization of a Hamiltonian that describes harmonic lattice vibrations coupled with…

Materials Science · Physics 2026-01-13 Olle Hellman , Leeor Kronik

We analyze the phonon spectra of periodic structures formed by two-dimensional mixtures of dipolar colloidal particles. These mixtures display an enormous variety of complex ordered configurations [J. Fornleitner {\it et al.}, Soft Matter…

Soft Condensed Matter · Physics 2013-05-29 J. Fornleitner , G. Kahl , C. N. Likos

Digital video-microscopy measurements are reported of both elastic bandstructures and overdamped phonon decay times in two-dimensional colloidal crystals. Both quantities together allow to determine the friction coefficients along various…

Other Condensed Matter · Physics 2008-05-13 Joerg Baumgartl , Julian Dietrich , Jure Dobnikar , Clemens Bechinger , Hans Hennig von Gruenberg

We develop a mathematical and numerical framework for studying evanescent waves in subwavelength band gap materials. By establishing a link between the complex Brillouin zone and various Hermitian and non-Hermitian phenomena, including…

Analysis of PDEs · Mathematics 2025-02-11 Yannick De Bruijn , Erik Orvehed Hiltunen

We propose complete tailoring procedures with analytical precision for band degeneracies in one-dimensional (1D) nonlocal phononic crystals, focusing on the role of beyond-nearest-neighbor (BNN) interactions. Unlike trivial Dirac cones at…

Soft Condensed Matter · Physics 2025-03-28 Sharat Paul , Md Nahid Hasan , Pai Wang

We calculate the phonon-dispersion relations of several two-dimensional materials and diamond using the density-functional based tight-binding approach (DFTB). Our goal is to verify if this numerically efficient method provides sufficiently…

Materials Science · Physics 2019-09-04 Thomas A. Niehaus , Sigismund T. A. G. Melissen , Balint Aradi , S. Mehdi Vaez Allaei
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