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 t he fractional quantum Hall regime using Wen's chiral Luttinger liquid theory extended to include mesoscopic effects. We identify a new regim e where the Aharonov-Bohm oscillation amplitude exhibits a distinctive crossover from Luttinger liquid power-law behavior to Fermi-liquid-li ke behavior as the temperature is increased. Near the crossover temper ature the amplitude has a pronounced maximum. This nonmonotonic behavi or and novel high-temperature nonlinear phenomena that we also predict provide new ways to distinguish experimentally between Luttinger and Fermi liquids.