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Published October 19, 2007 | public
Journal Article Open

Universal Periods in Quantum Hall Droplets


Using the hierarchy picture of the fractional quantum Hall effect, we study the ground-state periodicity of a finite size quantum Hall droplet in a quantum Hall fluid of a different filling factor. The droplet edge charge is periodically modulated with flux through the droplet and will lead to a periodic variation in the conductance of a nearby point contact, such as occurs in some quantum Hall interferometers. Our model is consistent with experiment and predicts that superperiods can be observed in geometries where no interfering trajectories occur. The model may also provide an experimentally feasible method of detecting elusive neutral modes and otherwise obtaining information about the microscopic edge structure in fractional quantum Hall states.

Additional Information

©2007 The American Physical Society. (Received 18 May 2007; published 18 October 2007) We thank Jim Eisenstein, Bernd Rosenow, and Xiao-Gang Wen for enlightening discussions. Financial support from NSF Grants Nos. PHY05-51164 and DMR05-29399 is gratefully acknowledged. G.A.F. was also supported by the Lee A. DuBridge Foundation and M.P.A.F. by the Moore Foundation.


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