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Sub-wavelength graphene structures support localized plasmonic resonances in the terahertz and mid-infrared spectral regimes. The strong field confinement at the resonant frequency is predicted to significantly enhance the light-graphene…

By using a non-local, quantum mechanical response function we study graphene plasmons in a one-dimensional superlattice (SL) potential $V_0 \cos G_0x$. The SL introduces a quantum energy scale $E_G \sim \hbar v_F G_0$ associated to…

Mesoscale and Nanoscale Physics · Physics 2020-06-25 Luis Brey , T. Stauber , L. Martín-Moreno , G. Gómez-Santos

Whereas electromagnetic surface waves are confined to a planar interface between two media, line waves exist at the one-dimensional interface between three materials. Here we derive a non-local integral equation for computing the properties…

Optics · Physics 2023-06-23 S. A. R. Horsley , A. Dwivedi

Plasmonic response in metals, defined as the ability to support subwavelength confinement of surface plasmon modes, is typically limited to a narrow frequency range below the metals' plasma frequency. This places severe limitations on the…

Starting from the Vlasov-Maxwell equations describing the dynamics of various species in a quasi-neutral plasma immersed in an external solenoidal magnetic field and utilizing a technique known as the hydrodynamic substitution, a…

Plasma Physics · Physics 2024-02-28 Stephan I. Tzenov

It is commonly assumed that photocurrent in two-dimensional systems with centrosymmetric lattice is generated at structural inhomogenities, such as p-n junctions. Here, we study an alternative mechanism of photocurrent generation associated…

Mesoscale and Nanoscale Physics · Physics 2021-11-01 Vladimir Silkin , Dmitry Svintsov

Motivated by recent work on approximation of diffusion equations by deterministic interacting particle systems, we develop a nonlocal approximation for a range of linear and nonlinear diffusion equations and prove convergence of the method…

Analysis of PDEs · Mathematics 2024-04-05 Katy Craig , Matt Jacobs , Olga Turanova

We study the quasistatic evolution of a linear peridynamic Kelvin-Voigt viscoelastic material. More specifically, we consider the gradient flow of a nonlocal elastic energy with respect to a nonlocal viscous dissipation. Following an…

Analysis of PDEs · Mathematics 2024-02-27 Manuel Friedrich , Manuel Seitz , Ulisse Stefanelli

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where resonance occurs results in a strong light…

Analysis of PDEs · Mathematics 2015-06-03 Habib Ammari , Pierre Millien , Matias Ruiz , Hai Zhang

Inspired by the recent experimental signatures of relativistic hydrodynamics in graphene, we investigate theoretically the behavior of hydrodynamic sound modes in such quasi-relativistic fluids near charge neutrality, within linear…

Strongly Correlated Electrons · Physics 2016-07-06 Andrew Lucas

Distortions in the electron distribution function driven by intense temperature gradients critically influence the generation and evolution of heat flux and magnetic fields in plasmas under the condition of inertial confinement fusion.…

Plasma Physics · Physics 2025-08-26 Z. H. Chen , Z. Q. Zhao , X. H. Yang , L. R. Li , B. Zeng , Z. Li , B. H. Xu , G. B. Zhang , H. H. Ma , M. Tang , Y. Y. Ma , H. Xu , F. Q. Shao , J. Zhang

We introduce a new class of nonlocal nonlinear conservation laws in one space dimension that allow for nonlocal interactions over a finite horizon. The proposed model, which we refer to as the nonlocal pair interaction model, inherits at…

Analysis of PDEs · Mathematics 2016-11-29 Qiang Du , Zhan Huang , Philippe G. LeFloch

Optical response of free-electron gas leads to inherent nonlinear optical behaviour of nanostructured plasmonic materials enabled via both strong local field enhancements and inherent complex electron dynamics. We present a comprehensive…

Singular graphene metasurfaces, conductivity gratings realized by periodically suppressing the local doping level of a graphene sheet, have recently been proposed to efficiently harvest THz light and couple it to surface plasmons over broad…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 E. Galiffi , P. A. Huidobro , P. A. D. Gonçalves , N. A. Mortensen , J. B. Pendry

The growing complexity of integrated photonics necessitates compact, low-power devices that transcend traditional, material-centric design approaches. In this study, we harness non-Hermitian physics to uncover novel properties of coupled…

Optics · Physics 2025-10-30 P. Chang , S. Ramezanpour , A. Helmy

Properties of modified plasma waves in non-linear electrodynamics are investigated. We consider a cold, uniform, collisionless, and magnetized plasma model. Initially, we also assume small amplitude waves and the non-relativistic…

Plasma Physics · Physics 2023-06-27 Leonardo P. R. Ospedal , Fernando Haas

The study of nonlocal nonlinear systems and their dynamics is a rapidly increasing field of research. In this study, we take a closer look at the extended nonlocal Kadomtsev-Petviashvili (enKP) model through a systematic analysis of…

Pattern Formation and Solitons · Physics 2023-08-21 K. Sakkaravarthi , Sudhir Singh , N. Karjanto

The optical response of a coupled nanowire dimer is studied using a fully quantum mechanical approach. The translational invariance of the system allows to apply the time--dependent density functional theory for the plasmonic dimer with the…

Optics · Physics 2013-02-15 T. V. Teperik , P. Nordlander , J. Aizpurua , A. G. Borisov

Coulomb interactions play an essential role in atomically-thin materials. On one hand, they are strong and long-ranged in layered systems due to the lack of environmental screening. On the other hand, they can be efficiently tuned by means…

Mesoscale and Nanoscale Physics · Physics 2021-06-04 Zhihao Jiang , Stephan Haas , Malte Rösner

This paper explores the application of Madelung hydrodynamic models to study two-dimensional electron gases, with a focus on nonlocal plasmonics and nonlinear optics. We begin by reviewing the derivation of the Madelung equations. Using the…

Mesoscale and Nanoscale Physics · Physics 2025-04-16 Simão S. Cardoso , A. J. Chaves , N. Asger Mortensen , N. M. R. Peres