Magnetoplasmon excitations at graphene ortex hall fluid edge

Abstract

We investigate magnetoplasmon dynamics localized on the edges of graphene ortex Hall fluid. The ortex matter captures an anomalous term that causes ortex localization near fluid boundary and creates a double boundary layer,Δ0 ∝ (𝛽−1)ℓ𝐵 with 𝛽 being filling factor. The term also has qualitative effect on resonant excitations of edge magnetoplasmons. We found that, for sharp edges under experimental conditions, graphene edge magnetoplasmon (EMP) resonances have similar behavior as in recent experiments. Gradual distinctions arise for smooth edges in the presence of the anomalous term, where a weak EMP peak appears. The second peak becomes well noticed as the smoothness is increased. We identified the resonant mode as an Inter-EMP. It originates from the oscillations of charges in the inner boundary of the double layer. The present observation brings to light the direct cause of Inter-EMP which remained to be detected in graphene experiments