Little-Parks and Aharonov-Bohm oscillations in fractional Hall regime: Manifestation of Chern-Simons gauge flux.

Abstract

We show that the recently developed Chern-Simons gauge theory for fractional quantum Hall effect leads naturally to a striking prediction that an applied gate voltage coupled to an isolated region in a two-dimensional electron gas can induce Little-Parks oscillations of the longitudinal conductance in the quantum Hall devices at odd denominator filling fractions. For even denominator filling fractions, the Chern-Simons fermions are in a Fermi liquid state, and the conductance fluctuations are similar to the Aharonov-Bohm conductance oscillations of a mesoscopic metal.