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Phys. Rev. Lett. 97, 186803 (2006) [4 pages]

Detecting Non-Abelian Statistics with an Electronic Mach-Zehnder Interferometer

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D. E. Feldman1 and Alexei Kitaev2,3
1Department of Physics, Brown University, Providence, Rhode Island 02912, USA
2California Institute of Technology, Pasadena, California 91125, USA
3Microsoft Project Q, University of California, Santa Barbara, California 93106, USA

Received 21 July 2006; published 3 November 2006

Fractionally charged quasiparticles in the quantum Hall state with a filling factor ν=5/2 are expected to obey non-Abelian statistics. We demonstrate that their statistics can be probed by transport measurements in an electronic Mach-Zehnder interferometer. The tunneling current through the interferometer exhibits a characteristic dependence on the magnetic flux and a nonanalytic dependence on the tunneling amplitudes which can be controlled by gate voltages.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.186803
DOI:
10.1103/PhysRevLett.97.186803
PACS:
73.43.Jn, 73.43.Cd, 73.43.Fj