Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer

Details Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer

2006-07-21

arxiv.org/abs/cond-mat/0607541v2

Phys. Rev. Lett. 97, 186803 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevLett.97.186803

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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