Investigation of three topological edge states in honeycomb lattices based on graphene plasmonic crystal

Abstract

In this article, three categories of the edge states in the honeycomb lattice are investigated theoretically by using the effective tight binding Hamiltonian. The edge-bulk corresponding dispersions of zigzag, bearded, and armchair edge states analytically. The actual edge-bulk corresponding and the light field distribution of the graphene plasmonic crystals are obtained by solving Maxwell equations with boundary conditions, which are in good agreement with the analytical results. The proposed plasmonic structures provide guidance for designing the frequency range dependent property of topological structures, and show the potential applications in topological robust devices.