CHARGE AND CURRENT OSCILLATIONS IN FRACTIONAL QUANTUM HALL SYSTEMS WITH EDGES

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