Band Structures and Localized Graphene Surface Plasmons with Periodic Charge Doping*

We present recent band structure calculations of artificial plasmonic crystals created by periodic doping. We focus on the Lieb and Kagome lattice, two lattices known to exhibit topological features. We show that within the Drude approximation of the conductivity and for neutral doping with alternating charges, the Kagome lattice exhibits both a flat band and a band gap with a large local density of states. Additionally, for doping of alternating. both lattices exhibit strong localization of the plasmon electric field intensity near the region of vanishing charge density. We discuss the effect of interband transistions on these properties.