Topological Majorana States in Zigzag Chains of Plasmonic Nanoparticles

Abstract

We propose a simple realization of topological edge states in zigzag chains of plasmonic nanoparticles, mimicking the Kitaev model of Majorana fermions. We demonstrate the one-to-one correspondence between the coupled dipole equations in the zigzag plasmonic chain and the Bogoliubov-de-Gennes equations for the quantum wire on top of superconductor and support the analytical theory by the full-wave electromagnetic simulations. We reveal that localized plasmons can be excited selectively at both edges of the zigzag chain of plasmonic nanoparticles depending on the incident plane wave polarization. (Chemical Presented).