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Magnetoplasmon Excitations at Graphene Vortex Hall Fluid Edge


Affiliations
1 Department of Applied Physics, University for Development Studies, Navrongo Campus, Navrongo, Ghana
2 Department of Physics, Laser and Fiber Optics Center, University of Cape Coast, Cape Coast, Ghana
3 University for Development Studies, Department of Mathematics, Navrongo, Ghana
 

We investigate magnetoplasmon dynamics localized on the edges of graphene vortex Hall fluid. The vortex matter captures an anomalous term that causes vortex localization near fluid boundary and creates a double boundary layer, Δ 0 ∝ (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.
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  • Magnetoplasmon Excitations at Graphene Vortex Hall Fluid Edge

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Authors

M. Rabiu
Department of Applied Physics, University for Development Studies, Navrongo Campus, Navrongo, Ghana
S. Y. Mensah
Department of Physics, Laser and Fiber Optics Center, University of Cape Coast, Cape Coast, Ghana
I. Y. Seini
University for Development Studies, Department of Mathematics, Navrongo, Ghana
S. S. Abukari
Department of Physics, Laser and Fiber Optics Center, University of Cape Coast, Cape Coast, Ghana

Abstract


We investigate magnetoplasmon dynamics localized on the edges of graphene vortex Hall fluid. The vortex matter captures an anomalous term that causes vortex localization near fluid boundary and creates a double boundary layer, Δ 0 ∝ (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.