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Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer

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arxiv cond-mat/0607541 v2 pith:52SKIHH2 submitted 2006-07-21 cond-mat.mes-hall cond-mat.str-el

D. E. Feldman , Alexei Kitaev This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.str-el
keywords interferometerstatisticsdependenceelectronicmach-zehndernon-abeliantunnelingamplitudes
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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.

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  1. Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors

    cond-mat.mes-hall 2025-08 unverdicted novelty 7.0 of 10

    The transition between Jain and daughter quantum Hall states is mapped to an E8 to trivial transition and predicted to split into at least eight transitions with intermediate topological phases.

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