Shot noise in an anyonic Mach-Zehnder interferometer

Creators: Feldman, D. E.; Gefen, Yuval; Kitaev, Alexei; Law, K. T.; Stern, Ady

Abstract

We show how shot noise in an electronic Mach-Zehnder interferometer in the fractional quantum Hall regime probes the charge and statistics of quantum Hall quasiparticles. The dependence of the noise on the magnetic flux through the interferometer allows for a simple way to distinguish Abelian from non-Abelian quasiparticle statistics. In the Abelian case, the Fano factor (in units of the electron charge) is always lower than unity. In the non-Abelian case, the maximal Fano factor as a function of the magnetic flux exceeds 1.

Additional Information

©2007 The American Physical Society (Received 6 July 2007; published 21 August 2007) We acknowledge the support by ARO under Grants Nos. W911NF-04-1-0236 (A.K.) and W911NF-05-1-0294) (A.K.), by NSF under Grants Nos. PHY99-07949 (D.E.F.), PHY-0456720 (A.K.), and DMR-0544116 (D.E.F. and K.T.L.), by the U.S.-Israel BSF (Y.G. and A.S.), the Minerva Foundation (A.S.), and the ISF of the Israel Academy of Sciences (Y.G.). D.E.F. acknowledges the hospitality of Microsoft Station Q and KITP in Santa Barbara.

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