Charge and current oscillations in Fractional quantum Hall systems with edges

Abstract

Stationary solutions of the Chern-Simons effective field theory for the fractional quantum Hall systems with edges are presented for Hall bar, disk and annulus. In the infinitely long Hall bar geometry (non compact case), the charge density is shown to be monotonic inside the sample. In sharp contrast, spatial oscillatory modes of charge density are found for the two circular geometries, which indicate that in systems with compact geometry, charge and current exist also far from the edges.

16 pages, 6 figures Revtex

References in corpus (4)

• From the Chern-Simons theory for the fractional quantum Hall effect to the Luttinger model of its edges
• Parametric Excitation of Edge Waves in the Quantum Hall Effect
• Green's Function Approach to the Edge Spectral Density
• Current and charge distributions of the fractional quantum Hall liquids with edges

Cited by in corpus (1)

• Planar array of semiconducting nanotubes in external electric field: Collective screening and polarizability