Modified Interferometer to Measure Anyonic Braiding Statistics

Abstract

Existing quantum Hall interferometers measure twice the braiding phase, e^{i2θ}, of Abelian anyons, i.e., the phase accrued when one quasiparticle encircles another clockwise. We propose a modified Fabry-Pérot or Mach-Zehnder interferometer that can measure e^{iθ}.