Dirac Spectra and Edge States in Honeycomb Plasmonic Lattices

Abstract

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 zigzag edge states for out-of-plane dipole modes are closely analogous to the electronic ones in graphene nanoribbons. The edge states for in-plane dipole modes and quadrupole modes, however, have rather unique characters due to the vector nature of the plasmonic excitations. The conditions for the existence of plasmonic edge states are derived analytically.

4 pages, 4 figures

References in corpus (5)

• Electric Field Effect in Atomically Thin Carbon Films
• Half-Metallic Graphene Nanoribbons
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Theory of Linear Chains of Metamaterial/Plasmonic Particles as Sub-Diffraction Optical Nanotransmission Lines
• Propagation of Surface Plasmons in Ordered and Disordered Chains of Metal Nanospheres

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• Plasmonic edge states: an electrostatic eigenmode description
• Dirac plasmons in bipartite lattices of metallic nanoparticles
• Measuring Dirac Cones in a Sub-Wavelength Metamaterial
• Multi-qubit quantum phase gates based on surface plasmons of a nanosphere
• Wideband trapping of light by edge states in honeycomb photonic crystals
• Controlling flexural waves in semi-infinite platonic crystals