Quasi Fermi distribution and resonant tunneling of quasiparticles with fractional charges

We study the resonant tunneling of quasiparticles (anyons) through an impurity between the edges of a fractional quantum Hall sample. These quasiparticles are anyons, but their equilibrium one-particle correlation functions are shown to have some quasi Fermi properties. The broken symmetry of many-particle states at the impurity yields a new selection rule for the resonant tunneling: The resonance is suppressed unless an integer number of electrons occupies the impurity. This rule allows an explanation of the scaling behavior observed in the mesoscopic fluctuations of the conductivity in the fractional quantum Hall effect.