Coulomb blockade of anyons

Coulomb interaction turns anyonic quasiparticles of a primary quantum Hall liquid with filling factor $\nu =1\mathrm{/}(2m+1)$ 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 {\em absence} of quasiparticle exchanges. In particular, it can be seen as a non-vanishing resonant peak associated with quasiparticle tunneling through a line of three antidots.