Signatures of fractional Hall quasiparticles in moments of current through an antidot

The statistics of tunneling current in a fractional quantum Hall sample with an antidot is studied in the chiral Luttinger liquid picture of edge states. A comparison between Fano factor and skewness is proposed in order to clearly distinguish the charge of the carriers in both the thermal and the shot limit. In addition, we address effects on current moments of nonuniversal exponents in single-quasiparticle propagators. Positive correlations, result of propagators behavior, are obtained in the shot noise limit of the Fano factor, and possible experimental consequences are outlined.