Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer

We report an Aharonov-Bohm superperiod of five magnetic flux quanta ($5h/e$) observed in a Laughlin quasiparticle interferometer, where an edge channel of the $1/3$ fractional quantum Hall fluid encircles an island of the $2/5$ fluid. This result does not violate the gauge invariance argument of the Byers-Yang theorem because the magnetic flux, in addition to affecting the Aharonov-Bohm phase of the encircling $1/3$ quasiparticles, creates the $2/5$ quasiparticles in the island. The superperiod is accordingly understood as imposed by the anyonic statistical interaction of Laughlin quasiparticles.