Controlled phase slips of even denominator fractional quasiparticles in a bilayer graphene quantum Hall interferometer

Exchange statistics of abelian anyons have been observed in 2D electronic interferometers through disorder-mediated phase slips. We demonstrate controllable phase slips in both even- and odd-denominator fractions in a bilayer graphene Fabry-Perot device. The slips are induced as an anti-dot in the center of the interferometry cavity is filled one-by-one with fractional quasiparticles. This highly tunable interferometer geometry therefore allows us to both localize a number of anyon species—including presumed non-abelian anyons—as well as to measure their respective exchange statistics by controlling the number of braiding operations performed.