Mesoscopic effects in the fractional quantum Hall regime : chiral Luttinger liquid versus Fermi liquid

We study tunneling through an edge state formed around an antidot in the fractional quantum Hall regime using Wen`s chiral Luttinger liquid theory extended to include mesoscopic effects. We identify a new regime where the Aharonov-Bohm oscillation amplitude exhibits a distinctive crossover from Luttinger liquid power-law behavior to Fermi-liquid-like behavior as the temperature is increased. Near the crossover temperature the amplitude has a pronounced maximum. This nonmonotonic behavior and novel high-temperature nonlinear phenomena that we also predict provide new ways to distinguish experimentally between Luttinger and Fermi liquids.