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We investigate magnetoplasmon dynamics localized on the edges of graphenevortex Hall fluid. The vortex matter captures an anomalous term that causesvortex localization near fluid boundary and creates a double boundary layer,$\Delta_0\propto (\beta-1)\ell_B$ with $\beta$ being filling factor. The termalso has qualitative effect on resonant excitations of edge magnetoplasmons. Wefound that for sharp edges under experimental conditions, graphene EdgeMagnetoplasmon (EMP) resonances have similar behavior as in recent experiments.Gradual distinctions arise for smooth edges in the presence of the anomalousterm, where a weak EMP peak appear. The second peak becomes well noticed as thesmoothness is increased. We identified the resonant mode as an Inter-EMP. Itoriginates from the oscillations of charges in the inner boundary of the doublelayer. The present observation brings to light the direct cause of Inter-EMPwhich remained to be detected in graphene experiments.

Magnetoplasmon excitations at graphene vortex Hall fluid edge