Aharanov-Bohm Interference and Fractional Statistics in a Quantum Hall Interferometer

Eun-Ah Kim
Phys. Rev. Lett. 97, 216404 – Published 21 November 2006

Abstract

We compute the temperature, voltage, and magnetic field dependences of the conductance oscillations of a model interferometer designed to measure the fractional statistics of the quasiparticles in the fractional quantum Hall effect. The geometry is the same as that used in recent experiments. With appropriate assumptions concerning the relative areas of the inner and outer rings of the interferometer, we find the theoretical results, including the existence of super periodic Aharonov-Bohm oscillations, to be in remarkably good agreement with experiment. We then make additional experimental predictions with no adjustable parameters which, if verified, would confirm the proposed interpretation of the experiment as a measurement of fractional statistics.

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  • Received 13 April 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.216404

©2006 American Physical Society

Authors & Affiliations

Eun-Ah Kim

  • Stanford Institute for Theoretical Physics and Department of Physics, Stanford University, Stanford, California 94305, USA

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Issue

Vol. 97, Iss. 21 — 24 November 2006

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