Random-phase Approximation Treatment Of Edge Magnetoplasmons: Edge-state Screening And Nonlocality

Abstract

A random-phase approximation (RPA) treatment of edge magnetoplasmons (EMP) is presented for strong magnetic fields, low temperatures, and integer filling factors ν. It is valid for negligible dissipation and lateral confining potentials smooth on the scale of the magnetic length \ell_{0} but sufficiently steep that the Landau-level (LL) flattening can be neglected. LL coupling, screening by edge states, and nonlocal contributions to the current density are taken into account. In addition to the fundamental mode with typical dispersion relation ω\sim q_x \ln(q_{x}), fundamental modes with {\it acoustic} dispersion relation ω\sim q_x are obtained for ν>2. For ν=1,2 a {\bf dipole} mode exists, with dispersion relation ω\sim q_x^3, that is directly related to nonlocal responses.

Text 12 pages in Latex/Revtex format, 4 Postscript figures

References in corpus (3)

• 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
• Edge-Magnetoplasmon Wave-Packet Revivals in the Quantum Hall Effect

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• Helical edge magnetoplasmon in the quantum Hall effect regime
• Edge magnetoplasmons in a wide armchair graphene ribbon with a weak superlattice potential: finite frequency gaps and zero group velocity