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We study theoretically "graphene-like" plasmonic metamaterials constituted by two-dimensional arrays of metallic nanoparticles, including perfect honeycomb structures with and without inversion symmetry, as well as generic bipartite…

Mesoscale and Nanoscale Physics · Physics 2015-02-16 Thomas Jebb Sturges , Claire Woollacott , Guillaume Weick , Eros Mariani

We study a bipartite linear chain constituted by spherical metallic nanoparticles, where each nanoparticle supports a localized surface plasmon. The near-field dipolar interaction between the localized surface plasmons gives rise to…

Mesoscale and Nanoscale Physics · Physics 2017-03-21 Charles A. Downing , Guillaume Weick

The discovery of the Dirac electron dispersion in graphene led to the question of the Dirac cone stability with respect to interactions. Coulomb interactions between electrons were shown to induce a logarithmic renormalization of the Dirac…

Two-dimensional lattices of coupled micropillars etched in a planar semiconductor microcavity offer a workbench to engineer the band structure of polaritons. We report experimental studies of honeycomb lattices where the polariton…

We prove that the two-dimensional Schroedinger operator with a potential having the symmetry of a honeycomb structure has dispersion surfaces with conical singularities (Dirac points) at the vertices of its Brillouin zone. No assumptions…

Mathematical Physics · Physics 2012-06-19 Charles L. Fefferman , Michael I. Weinstein

We consider plasmonic metasurfaces constituted by an arbitrary periodic arrangement of spherical metallic nanoparticles. Each nanoparticle supports three degenerate dipolar localized surface plasmon (LSP) resonances. In the regime where the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 François Fernique , Guillaume Weick

We examine the low energy effective theory of phase oscillations in a two-dimensional granular superconducting sheet where the grains are arranged in honeycomb lattice structure. Using the example of graphene we present the evidence for the…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Saikat Banerjee , J. Fransson , A. M. Black-Schaffer , H. Ågren , A. V. Balatsky

We theoretically investigate plasmon polaritons in cubic lattices of spherical metallic nanoparticles. The nanoparticles, each supporting triply-degenerate localized surface plasmons, couple through the Coulomb dipole-dipole interaction,…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 Simon Lamowski , Charlie-Ray Mann , Felicitas Hellbach , Eros Mariani , Guillaume Weick , Fabian Pauly

We study the collective charge-density modes (plasmons) of two-dimensional nonsymmorphic Dirac semimetals, within the random-phase approximation (RPA) in presence of Coulomb interaction. Without loss of generality, we consider a system in a…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Debasmita Giri , Arijit Kundu

We study theoretically the dispersion of plasmonic honeycomb lattices and find Dirac spectra for both dipole and quadrupole modes. Zigzag edge states derived from Dirac points are found in ribbons of these honeycomb plasmonic lattices. The…

Materials Science · Physics 2009-03-28 Dezhuan Han , Yun Lai , Jian Zi , Zhao-Qing Zhang , C. T. Chan

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

Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the two-dimensional material, enhance electron correlations, and give rise to novel condensed-matter…

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

Compression dramatically changes the transport and localization properties of graphene. This is intimately related to the change of symmetry of the Dirac cone when the particle hopping is different along different directions of the lattice.…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 B. Real , O. Jamadi , M. Milićević , N. Pernet , P. St-Jean , T. Ozawa , G. Montambaux , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , S. Ravets , J. Bloch , A. Amo

Dirac materials are of great interest as condensed matter realizations of the Dirac and Weyl equations. In particular, they serve as a starting point for the study of topological phases. This physics has been extensively studied in…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 P. Sathish Kumar , Igor F. Herbut , R. Ganesh

Pseudorelativistic Dirac quasiparticles have emerged in a plethora of artificial graphene systems that mimic the underlying honeycomb symmetry of graphene. However, it is notoriously difficult to manipulate their properties without…

Slowly varying nonuniform strains of non-magnetic wave propagating media with honeycomb symmetry induce an effective- or pseudo-magnetic field, a phenomenon observed first in graphene, and later in photonic crystals and other physical…

Mathematical Physics · Physics 2026-03-31 Xuenan Li , Michael I. Weinstein

We demonstrate how a Dirac-like magnon spectrum is generated for localized magnetic moments forming a two-dimensional honeycomb lattice. The Dirac crossing point is proven to be robust against magnon-magnon interactions, as these only shift…

Materials Science · Physics 2016-08-16 J. Fransson , A. M. Black-Schaffer , A. V. Balatsky

Dirac points lie at the heart of many fascinating phenomena in condensed matter physics, from massless electrons in graphene to the emergence of conducting edge states in topological insulators [1, 2]. At a Dirac point, two energy bands…

Quantum Gases · Physics 2013-06-26 Leticia Tarruell , Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Tilman Esslinger

Magnetic proximity effects in Co/hBN/graphene heterostructures are systematically analyzed via first-principles calculations, demonstrating a pronounced localized spatial variation of the induced spin polarization of graphene's Dirac…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Klaus Zollner , Lukas Cvitkovich , Riccardo Silvioli , Andreas V. Stier , Jaroslav Fabian
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