Magnetoplasmon excitations at graphene vortex Hall fluid edge

TL;DR

This paper studies edge magnetoplasmon excitations in graphene vortex Hall fluids, revealing how boundary smoothness and an anomalous term influence resonant modes, including the detection of the Inter-EMP mode.

Contribution

It introduces the role of an anomalous term in vortex localization and edge excitations, and identifies the Inter-EMP mode in graphene.

Findings

Edge magnetoplasmon resonances match recent experimental behavior for sharp edges.

Smooth edges exhibit a second, more prominent EMP peak due to the anomalous term.

The Inter-EMP mode originates from charge oscillations at the inner boundary of the double layer.

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, $\Delta_0\propto (\beta-1)\ell_B$ with $\beta$ 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 appear. 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.