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We compare the harmonic and anharmonic properties of the vibrational modes in 3-dimensional jammed packings of frictionless spheres interacting via repulsive, finite range potentials. A crossover frequency is apparent in the density of…

Soft Condensed Matter · Physics 2010-06-25 Ning Xu , Vincenzo Vitelli , Andrea J. Liu , Sidney R. Nagel

A microscopic theory of linear response based on the Vlasov equation is extended to systems having spheroidal equilibrium shape. The solution of the linearized Vlasov equation, which gives a semiclassical version of the random phase…

Mesoscale and Nanoscale Physics · Physics 2009-02-05 A. Dellafiore , F. Matera , F. A. Brieva

Point polarizable molecules at fixed spatial positions have solvable electrostatic properties in classical approximation, the most familiar being the Clausius-Mossotti (CM) formula. This paper generalizes the model and imagines various…

Materials Science · Physics 2009-11-10 Philip B. Allen

Hydrodynamic flow in two-dimensional electron systems has so far been probed only by dc transport and scanning gate microscopy measurements. In this work we discuss theoretically signatures of the hydrodynamic regime in near-field optical…

In this paper, we investigate the hybridization theory of plasmon resonance in metallic nanostructures, which has been validated by the authors in [31] through a series of experiments. In an electrostatic field, we establish a mathematical…

Analysis of PDEs · Mathematics 2025-05-22 Qi Lei , Hongyu Liu , Zhi-Qiang Miao , Guang-Hui Zheng

Particle plasmons in metal nanoparticles have primarily been investigated through the use of local optical response approximations. However, as nanoparticle size approaches the average distance of electrons to the metal surface, mesoscopic…

Optics · Physics 2023-06-28 Weixiang Ye

A smooth sphere-to-cube transition is experimentally, computationally and theoretically studied in plasmonic Au nanoparticles, including retardation effects. Localized surface plasmon-polariton resonances were described with precision,…

We propose a consistent approach to the definition of electric, magnetic, and toroidal multipole moments. Electric and magnetic fields are split into potential, vortex, and radiative terms, with the latter ones dropped off in the…

Classical Physics · Physics 2019-01-10 Yuri Krynytskyi , Andrij Rovenchak

We develop a perturbative approach for calculating, within the quasistatic approximation, the shift of surface resonances in response to a deformation of a dielectric volume. Our strategy is based on the conversion of the homogeneous system…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Daniel Grieser , Hannes Uecker , Svend-Age Biehs , Oliver Huth , Felix Rüting , Martin Holthaus

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…

The existence and nature of a new mode of electronic collective excitations (quadrupole plasmons) in confined one-dimensional electronic systems have been predicted by an eigen-equation method. The eigen-equation based on the time-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Reng-lai Wu , Yabin Yu , Hong-jie Xue

In plasmonics, nonlocal effects arise when the material response to optical excitations is strongly dependent on the spatial correlations of the excitation. It is well known that a classical free electron gas system supports local Drude…

Metallic nanostructures can support so-called plasma oscillations (plasmons). Plasmons allow for the concentration of the energy from light, down to sizes well below the conventional diffraction limit known from optics. Plasmonics thus…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Christian Frydendahl

Freezing of charged colloids on square or triangular two-dimensional periodic substrates has been recently shown to realize a rich variety of orientational orders. We propose a theoretical framework to analyze the corresponding structures.…

Statistical Mechanics · Physics 2009-11-10 R. Agra , F. van Wijland , E. Trizac

Non-local effects in the optical response of noble metals are shown to produce significant blueshift and near-field quenching of plasmons in nanoparticle dimers, nanoshells, and thin metal waveguides. Compared with a local description…

Other Condensed Matter · Physics 2012-11-13 F. Javier Garcia de Abajo

We develop a method for investigating the relationship between the shape of a 1-particle distribution and non-linear electrostatic oscillations in a collisionless plasma, incorporating transverse thermal motion. A general expression is…

Plasma Physics · Physics 2008-07-30 D. A. Burton , A. Noble

The coagulation enhancement factor due to electrostatic (Coulomb and polarization-induced) interaction between silicon nanoparticles was numerically computed for different nanoparticle sizes and charges in typical low-emperature…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Benjamin Santos , Laura Cacot , Claude Boucher , François Vidal

We study collective plasmon excitations and screening of disordered single- and bilayer black phosphorus beyond the low energy continuum approximation. The dynamical polarizability of phosphorene is computed using a tight-binding model that…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Fengping Jin , Rafael Roldán , Mikhail I. Katsnelson , Shengjun Yuan

We develop a microscopic quantum theory of surface plasmon polaritons valid for arbitrary metal-dielectric geometries. Our framework is based on the Power-Zienau-Woolley representation of quantum electrodynamics, which provides an optimal…

Quantum plasmonics explores how light interacts with collective charge oscillations at metal-dielectric interfaces, enabling strong confinement and enhanced quantum effects at the nanoscale. While traditional quantum optics focuses on…

Quantum Physics · Physics 2025-04-03 Mingyuan Hong