Sub-Poissonian shot noise by anyon braiding

Fractional charge and fractional statistics of quasiparticles are the distinctive features of anyons in fractional quantum hall (FQH) systems. Fractional charge has been experimentally verified by measuring fano factor, the ratio of shot noise to current, in a tunneling setup of a quantum point contact (QPC) between two FQH edges. In this work, we show that the fractional statistics can be detected in the shot noise measurement where anyons are dilutely injected to the tunneling setup through an additional QPC. In the modified setup, a thermally excited anyon effectively braids around another dilutely injected anyon, resulting in sub-Poissonian shot noise and anomalous fano factor. Our proposal is within experimental reach.