O. G. Balev1, P. Vasilopoulos2, and H. O. Frota1 1Departmento de Fisica, Universidade Federal do Amazonas, 69077-000, Manaus, Brazil 2Department of Physics, Concordia University, 7141 Sherbrooke Ouest, Montréal, Quebec, Canada H4B 1R6
Received 26 September 2010; revised 18 November 2011; published 8 December 2011
We show that near an armchair edge of a wide graphene channel, and in the presence of a smooth steplike electrostatic lateral confining potential, the chirality, spectrum, spatial structure, and number of the fundamental edge magnetoplasmons (EMPs), in the ν=2 regime of the quantum Hall effect, depend strongly on the position of the Fermi level EF. (i) When EF 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, counterpropagating 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 EF is sufficiently high and intersects only two degenerate states of the zero LL only one fundamental EMP exists with the usual chirality.
