Coulomb blockade of anyons in quantum antidots

Coulomb interaction turns anyonic quasiparticles of a primary quantum Hall liquid with filling factor nu=1/(2m+1) into hard-core anyons. We have developed a model of coherent transport of such quasiparticles in systems of multiple antidots by extending the Wigner-Jordan description of 1D Abelian anyons to tunneling problems. We show that the anyonic exchange statistics manifests itself in tunneling conductance even in the absence of quasiparticle exchanges. In particular, it can be seen as a nonvanishing resonant peak associated with quasiparticle tunneling through a line of three antidots.