Graphene based resonant ‘inclusions’ with high Q and strong magnetic response by localized interruptions to the chemical potential of the layer

The chemical potential of an infinite homogeneous graphene layer can be locally interrupted by electrostatic gating or chemical doping, thus creating a new family of surface plasmonic-like `inclusions´ at the mid-IR, with superior properties over conventional, noble-metals, plasmonic particles. Under certain conditions these interruptions interact strongly with an incident wave and resonate quasi-statically. A giant magneto-optical activity emerges when such resonating interruption interacts with a bias magnetic field; even weak biasing-as low as 0.3T-enables to obtain a dramatic, almost 90°, Faraday rotation in the near fields of the interruption. Here we derive the effective polarizability of the resonant interruption, demonstrate its intriguing response under magnetization and compare to full wave simulations.