Anyonic Hanbury-Brown Twiss interferometer in fractional quantum Hall effect

In the fractional quantum Hall state in two-dimensional electron systems, anyon quasiparticles can carry fractional charges and obey fractional statistics, acquiring non-trivial phases in their wave functions during exchange. Verifying these unique properties is a major challenge in condensed matter physics, and anyon transport using edge states has been vigorously studied both theoretically and experimentally. While fractional charges were relatively early identified via shot noise measurements, direct observation of fractional statistics has only recently become feasible with advances in experimental techniques. Research on braiding operations of anyons utilizing this statistical property has also accelerated significantly in recent years. In this study, we theoretically propose a Hanbury Brown-Twiss (HBT)-type two-particle interference as a new method for directly detecting the statistics of anyons. The usefulness of the HBT interferometer has already been demonstrated in previous studies for integer quantum Hall systems, where it successfully detected the Fermi statistics of electrons. We apply this idea to the ν = 2/5 fractional quantum Hall system. This system possesses two edge modes running parallel in the same direction along the system boundary, enabling the construction of an interferometer. In this talk, based on the calculated results for current noise, we will discuss how the statistics of anyons can be observed.