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The electromagnetic response of a two-dimensional metal embedded in a periodic array of a dielectric host can give rise to a plasmonic Dirac point that emulates Epsilon-Near-Zero (ENZ) behavior. This theoretical result is extremely…

We show that two-dimensional phononic crystals exhibit Dirac cone dispersion at k=0 by exploiting dipole and quadrupole accidental degeneracy. While the equi-frequency surface of Dirac cone modes is isotropic, such systems exhibit…

Materials Science · Physics 2015-05-28 Fengming Liu , Yun Lai , Xueqin Huang , C. T. Chan

The recent experimental discovery of ${\rm Cd_3 As_2}$ and ${\rm Na_3 Bi}$ Dirac semimetals enables the study of the properties of chiral quasi-particles in three spatial dimensions. As demonstrated by photoemission, Dirac semimetals are…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Dmitri E. Kharzeev , Robert D. Pisarski , Ho-Ung Yee

We consider a two-dimensional honeycomb lattice of metallic nanoparticles, each supporting a localized surface plasmon, and study the quantum properties of the collective plasmons resulting from the near field dipolar interaction between…

Mesoscale and Nanoscale Physics · Physics 2013-03-07 Guillaume Weick , Claire Woollacott , William L. Barnes , Ortwin Hess , Eros Mariani

We study the propagation of in-plane elastic waves in a soft thin strip; a specific geometrical and mechanical hybrid framework which we expect to exhibit Dirac-like cone. We separate the low frequencies guided modes (typically 100 Hz for a…

Soft Condensed Matter · Physics 2020-11-30 Maxime Lanoy , Fabrice Lemoult , Antonin Eddi , Claire Prada

Plasmonic crystals are a class of optical metamaterials that consist of engineered structures at the sub-wavelength scale. They exhibit optical properties that are not found under normal circumstances in nature, such as…

Applied Physics · Physics 2019-06-04 Marios Mattheakis , Matthias Maier , Wei Xi Boo , Efthimios Kaxiras

A semi-Dirac cone refers to a peculiar type of dispersion relation that is linear along the symmetry line but quadratic in the perpendicular direction. Here, I demonstrate that a photonic crystal consisting of a square array of elliptical…

Optics · Physics 2014-01-23 Ying Wu

The list of two dimensional Dirac systems with a tilt in their Dirac cone spectrum is expanding, and now in addition to organic system $\alpha$(BEDT-TTF)$_2$I$_3$ includes the two dimensional $8Pmmn$-borophene sheet, which allows for…

Strongly Correlated Electrons · Physics 2018-11-13 Z. Jalali-Mola , S. A. Jafari

In [H. Ammari et al., Honeycomb-lattice Minnaert bubbles. arXiv:1811.03905], the existence of a Dirac dispersion cone in a bubbly honeycomb phononic crystal is shown. The aim of this paper is to prove that, near the Dirac points, the Bloch…

Analysis of PDEs · Mathematics 2020-10-14 Habib Ammari , Erik Orvehed Hiltunen , Sanghyeon Yu

Plasmons are the quantized collective oscillations of electrons in metals and doped semiconductors. The plasmons of ordinary, massive electrons are since a long time basic ingredients of research in plasmonics and in optical metamaterials.…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 P. Di Pietro , M. Ortolani , O. Limaj , A. Di Gaspare , V. Giliberti , F. Giorgianni , M. Brahlek , N. Bansal , N. Koirala , S. Oh , P. Calvani , S. Lupi

We investigate the collective plasmonic modes of metal nano-particles in periodic two-dimensional (2D) arrays within a point-dipole description. As an open system, the full-dynamic dispersion relations of the 2D arrays are obtained through…

Optics · Physics 2016-07-29 Yu-Rong Zhen , Kin Hung Fung , C. T. Chan

Some photonic crystals (PCs) with Dirac-like conical dispersions exhibit the property of double zero refractive index (that is, both epsilon and mu near zero (EMNZ)), wherein the electromagnetic waves have an infinite effective wavelength…

Optics · Physics 2024-06-05 Zebin Zhu , Dong Zhao , Ziyao Wang , Xucheng Yang , Liyong Jiang , Zhen Gao

We discuss the emergence and manipulation of generalised Dirac cones in the subradiant collective modes of quantum metasurfaces. We consider a collection of single quantum emitters arranged in a honeycomb lattice with subwavelength…

Quantum Physics · Physics 2022-03-22 María Blanco de Paz , Alejandro González-Tudela , Paloma Arroyo Huidobro

We consider theoretically as a function of temperature the plasmon mode arising in three-dimensional Dirac liquids, i.e., systems with linear chiral relativistic single-particle dispersion, within the random phase approximation. We find…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Johannes Hofmann , S. Das Sarma

We discuss plasmons of biased twisted bilayer graphene when the Fermi level lies inside the gap. The collective excitations are a network of chiral edge plasmons (CEP) entirely composed of excitations in the topological electronic edge…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Luis Brey , T. Stauber , T. Slipchenko , L. Martín-Moreno

The one dimensional (1D) driven quantum coupled pseudoforce system governing the dynamics of collective Langmuir electron oscillations is used in order to investigate the effects of variety of space charge distributions on plasmon…

Plasma Physics · Physics 2019-03-27 M. Akbari-Moghanjoughi

The past decade has witnessed numerous discoveries of two-dimensional (2D) semimetals and insulators, whereas 2D metals are rarely identified. Borophene, a monolayer boron sheet, has recently emerged as a perfect 2D metal with unique…

Materials Science · Physics 2020-09-21 Chao Lian , Shi-Qi Hu , Jin Zhang , Cai Cheng , Zhe Yuan , Shiwu Gao , Sheng Meng

This paper discusses the properties of flexural waves obeying the biharmonic equation, propagating in a thin plate pinned at doubly-periodic sets of points. The emphases are on the properties of dispersion surfaces having the Dirac cone…

Mathematical Physics · Physics 2015-08-19 R. C. McPhedran , A. B. Movchan , N. V. Movchan , M. Brun , M. J. A. Smith

We explore the collective density oscillations of a collection of charged massive Dirac particles, in one, two and three dimensions and their one dimensional superlattice. We calculate the long wavelength limit of the dynamical polarization…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Rashi Sachdeva , Anmol Thakur , Giovanni Vignale , Amit Agarwal

By using an asymptotic analysis and numerical simulations, we derive and investigate a system of homogenized Maxwell's equations for conducting material sheets that are periodically arranged and embedded in a heterogeneous and anisotropic…

Numerical Analysis · Mathematics 2019-04-22 Matthias Maier , Marios Mattheakis , Efthimios Kaxiras , Mitchell Luskin , Dionisios Margetis
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