Edge magnetoplasmons in periodically modulated structures

Abstract

We present a microscopic treatment of edge magnetoplasmons (EMP's) within the random-phase approximation for strong magnetic fields, low temperatures, and filling factor $\nu =1(2)$, when a weak short-period superlattice potential is imposed along the Hall bar. The modulation potential modifies both the spatial structure and the dispersion relation of the fundamental EMP and leads to the appearance of a novel gapless mode of the fundamental EMP. For sufficiently weak modulation strengths the phase velocity of this novel mode is almost the same as the group velocity of the edge states but it should be quite smaller for stronger modulation. We discuss in detail the spatial structure of the charge density of the renormalized and the novel fundamental EMP's.

8 pages, 4 figures

References in corpus (4)

• Composite Fermions in Modulated Structures: Transport and Surface Acoustic Waves
• Correlations, inhomogeneous screening, and suppression of spin-splitting in quantum wires at strong magnetic fields
• Collective Edge Excitations In The Quantum Hall Regime: Edge Helicons And Landau-level Structure
• Random-phase Approximation Treatment Of Edge Magnetoplasmons: Edge-state Screening And Nonlocality

Cited by in corpus (3)

• Theory of Weiss oscillations in the magnetoplasmon spectrum of Dirac electrons in graphene
• Edge magnetoplasmons in a wide armchair graphene ribbon with a weak superlattice potential: finite frequency gaps and zero group velocity
• The Magnetoplasmon spectrum of a weakly modulated two-dimensional electron gas system