Shot Noise in Anyonic Mach-Zehnder Interferometer

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

Published 2006-12-27, updated 2007-07-26Version 5

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 one.