GENERAL PICTURE OF QUANTUM HALL TRANSITIONS IN QUANTUM ANTIDOTS

In this paper we present a general picture of the cyclic change in res onant structure seen in conductance across quantum Hall transitions in quantum antidots. The cycle begins with resonant dips below the ne(2) /h plateau, which evolve into resonant peaks above it. A sinusoidal os cillation, of shorter period in magnetic field, then appears, which ev olves into resonant dips below the (n+1)e(2)/h plateau. The cycle repe ats for successive transitions. We provide an explanation for this beh avior in terms of the edge-state model and show by numerical calculati on that this picture accounts in detail for the line shapes and depend encies observed experimentally.