Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer

Abstract

Fractionally charged quasiparticles in the quantum Hall state with filling factor $\nu =5/2$ 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 non-analytic dependence on the tunneling amplitudes which can be controlled by gate voltages.

4 pages, 2 figures; Revtex; a discussion of the asymmetry of the I-V curve added

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