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

Understand

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.