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Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer

D. E. Feldman·Alexei Kitaev
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Abstract

Fractionally charged quasiparticles in the quantum Hall state with 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 non-analytic dependence on the tunneling amplitudes which can be controlled by gate voltages.

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D. E. Feldman, Alexei Kitaev. 2006-10-26. Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer. https://doi.org/10.1103/physrevlett.97.186803

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