Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state

Abstract

Utilizing an electronic Fabry-Perot interferometer in which Coulomb charging effects are suppressed, we report experimental observation of anyonic braiding statistics for the $\nu =1/3$ fractional quantum Hall state. Strong Aharonov-Bohm interference of the $\nu =1/3$ edge mode is punctuated by discrete phase slips consistent with an anyonic phase of ${\theta }_{anyon}=\frac{2\pi }{3}$. Our results are consistent with a recent theory of a Fabry-Perot interferometer operated in a regime in which device charging energy is small compared to the energy of formation of charged quasiparticles. Close correspondence between device operation and theoretical predictions substantiates our claim of observation of anyonic braiding.

9 pages, 4 figures

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