Modified interferometer to measure anyonic braiding statistics

Abstract

Existing quantum Hall interferometers measure twice the braiding phase, $e^{i2\hat{I}¸}$, of Abelian anyons, i.e. the phase accrued when one quasi-particle encircles another clockwise. We propose a modified Fabry-Pérot or Mach-Zehnder interferometer that can measure $e^{i\hat{I}¸}$.

4 + 1 pages, 3 figures. Final version accepted for publication in Physical Review Letters