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We study the structure and elastic energy of the ground states of crystalline caps conforming to a spherical surface. These ground states consist of positive disclination defects in structures spanning from flat and weakly curved crystals…

Soft Condensed Matter · Physics 2019-10-09 Siyu Li , Roya Zandi , Alex Travesset , Gregory M. Grason

We study the effect of planar defects in phononic crystals of spherical scatterers. It is shown that a plane of impurity spheres introduces modes of vibration of the elastic field localized on this plane at frequencies within a frequency…

Materials Science · Physics 2009-10-31 I. E. Psarobas , N. Stefanou , A. Modinos

We introduce a field theoretic formalism enabling the direct study of dislocation and interstitial dynamics. Explicit expressions for the energies of such defects are given. We provide links to earlier numerical, discrete elastic, time…

Strongly Correlated Electrons · Physics 2009-05-20 V. Cvetkovic , Z. Nussinov , J. Zaanen

A full band gap of the longitudinal mode of elastic waves centered near 2.8 MHz with a width of ~ 1 MHz has been observed in the phononic crystals made of body centered tetragonal tungsten carbide spheres imbedded in aluminum matrix. Two…

Materials Science · Physics 2012-02-07 Ke Sun , Z. Yang

The ability to control wave propagation is of fundamental interest in many areas of physics. Photonic and phononic crystals have proved very useful for this purpose but, because they are based on Bragg interference, these artificial media…

Analysis of PDEs · Mathematics 2020-09-15 Habib Ammari , Brian Fitzpatrick , Erik Orvehed Hiltunen , Sanghyeon Yu

Charged colloidal particles - both on the nano and micron scales - have been instrumental in enhancing our understanding of both atomic and colloidal crystals. These systems can be straightforwardly realized in the lab, and tuned to…

Soft Condensed Matter · Physics 2021-05-05 Rinske M. Alkemade , Marjolein de Jager , Berend van der Meer , Frank Smallenburg , Laura Filion

Electron energy loss spectroscopy (EELS) is often utilized to characterize localized surface plasmon modes supported by plasmonic antennas. However, the spectral resolution of this technique is only mediocre, and it can be rather difficult…

In materials science, point defects play a crucial role in materials properties. This is particularly well known for the wide band gap insulators where the defect formation/compensation determines the equilibrium Fermi level and generally…

Materials Science · Physics 2023-11-29 Harshan Reddy Gopidi , Lovelesh Vashist , Oleksandr I. Malyi

Scanning transmission electron microscopy (STEM) combined with electron energy loss spectroscopy (EELS) has become a standard technique to map localized surface plasmon resonances with a nanometer spatial and a sufficient energy resolution…

Mesoscale and Nanoscale Physics · Physics 2020-06-02 Michal Horák , Tomáš Šikola

We demonstrate that disorder in photonic crystals could lead to pronounced modification of spontaneous emission rate in the frequency region corresponding to the photonic band gap (PBG). Depending on the amount of disorder, two different…

We experimentally investigate the terahertz spectrum of plasma excitations in a plasmonic crystal based on AlGaN/GaN two-dimensional electron system (2DES). While screened plasmon modes with linear dispersion are readily observed in the…

The concept of the energy gap is a fundamental characteristic of the band structure of a material and it determines its physical properties. Formally the energy gap appears in the dispersion relation $E_k$, where the vector $k$ is…

Strongly Correlated Electrons · Physics 2023-08-16 Yuriy Yerin , A. A. Varlamov , Roberto Felici , Aldo Di Carlo

We investigate the effects of crystal lattice vibrations on the dispersion of plasmons. The loss function of the homogeneous electron gas (HEG) in two and three dimensions is evaluated numerically in presence of electronic coupling to an…

Materials Science · Physics 2018-05-17 Fabio Caruso , Dino Novko , Claudia Draxl

Unique properties of plasmons in two-dimensional electron systems (2DESs) have been studied for many years. Existing theoretical approaches allow for analytical study of the properties of ungated and gated plasmons in two fundamental, ideal…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 A. A. Zabolotnykh , V. A. Volkov

Point defects play a crucial role in crystalline materials as they do not only impact the thermodynamic properties but are also central to kinetic processes. While they are necessary in thermodynamic equilibrium spontaneous defect formation…

Materials Science · Physics 2020-08-03 Erik Fransson , Paul Erhart

We report on the experimental study of the spectrum of plasma excitations in a plasmonic crystal fabricated from the two-dimensional electron system in an AlGaAs/GaAs semiconductor heterostructure. We perform a comprehensive research on the…

We investigate experimentally and numerically the defect configurations emerging when a cholesteric liquid crystal is confined to a spherical shell. We uncover a rich scenario of defect configurations, some of them non-existent in nematic…

Soft Condensed Matter · Physics 2017-09-13 Alexandre Darmon , Michael Benzaquen , Simon Čopar , Olivier Dauchot , Teresa Lopez-Leon

Defects in the atomic structure of crystalline materials may spawn electronic bound states, known as \emph{defect states}, which decay rapidly away from the defect. Simplified models of defect states typically assume the defect is…

Analysis of PDEs · Mathematics 2022-08-23 Jianfeng Lu , Jeremy L. Marzuola , Alexander B. Watson

A quantum-mechanical model to calculate the electron energy-loss spectra (EELS) for the system of a closely located metallic nanoshell and a molecule has been developed. At the resonance between the molecular excitation and plasmon modes in…

Atomic Physics · Physics 2014-10-07 I. Yu. Goliney , Ye. V. Onykienko

The recent development of subwavelength photonic and phononic crystals shows the possibility of controlling wave propagation at deep subwavelength scales. Subwavelength bandgap phononic crystals are typically created using a periodic…

Analysis of PDEs · Mathematics 2019-04-10 Habib Ammari , Erik Orvehed Hiltunen , Sanghyeon Yu