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 (4)

• Electric Field Effect in Atomically Thin Carbon Films
• 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