Dynamics of dissipative quantum Hall edges

URL:http://link.aps.org/doi/10.1103/PhysRevB.67.205332 DOI:10.1103/PhysRevB.67.205332We examine the influence of the edge electronic density profile and of dissipation on edge magnetoplasmons in the quantum Hall regime, in a semiclassical calculation. The equilibrium electron density on the edge, obtained using a Thomas-Fermi approach, has incompressible stripes produced by energy gaps responsible for the quantum Hall effect. We find that these stripes have an unobservably small effect on the edge magnetoplasmons. But dissipation, included phenomenologically in the local conductivity, proves to produce significant oscillations in the strength and speed of edge magnetoplasmons in the quantum Hall regime.This work was supported by the NSF under Grants No. DMR-9972683 and DMR-0074959