Edge magnetoplasmons in wide armchair graphene ribbons

TL;DR

This paper investigates how the properties of edge magnetoplasmons in wide armchair graphene ribbons depend on the Fermi level position, revealing the existence of counter propagating EMPs and their resonance conditions in the quantum Hall regime.

Contribution

It demonstrates the dependence of edge magnetoplasmon characteristics on the Fermi level and identifies conditions for multiple EMP modes in graphene ribbons.

Findings

Two counter propagating EMPs can exist with opposite chirality.

EMP properties depend strongly on the Fermi level position.

Resonance conditions for EMPs are achievable at micron or submicron scales.

Abstract

We show that near an armchair edge of a wide graphene channel, and in the presence of a smooth step-like electrostatic lateral confining potential, the chirality, spectrum, spatial structure, and number of the fundamental edge magnetoplasmons (EMPs), in the $\nu=2$ regime of the quantum Hall effect, depend strongly on the position of the Fermi level $E_{F}$. (i) When $E_{F}$ is small enough and intersects four degenerate states of the zero Landau level (LL) at one location and two degenerate states of this level at a different one, two fundamental, counter propagating EMPs exist with opposite chirality. This is in contrast with EMPs in conventional two-dimensional electron systems in which only one fundamental EMP exists. For the same wave vector these EMPs have different moduli of phase velocities and an essential spatial overlap. These EMPs can be on resonance in a wide range of frequencies, for micron or submicron lengths along the edge. (ii) When $E_{F}$ is sufficiently high and intersects only two degenerate states of the zero LL only one fundamental EMP exists with the usual chirality.