Charge and current oscillations in Fractional quantum Hall systems with edges

Details Charge and current oscillations in Fractional quantum Hall systems with edges Charge and current oscillations in Fractional quantum Hall systems with edges

1997-10-29

arxiv.org/abs/cond-mat/9710309v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages, 6 figures Revtex

Scientific paper

10.1103/PhysRevB.57.13061

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.

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