General picture of quantum Hall transitions in quantum antidots

In this paper we present a general picture of the cyclic change in resonant structure seen in conductance across quantum Hall transitions in quantum antidots. The cycle begins with resonant dips below the ${\mathit{ne}}^2$/h plateau, which evolve into resonant peaks above it. A sinusoidal oscillation, of shorter period in magnetic field, then appears, which evolves into resonant dips below the (n+1)${\mathit{e}}^2$/h plateau. The cycle repeats for successive transitions. We provide an explanation for this behavior in terms of the edge-state model and show by numerical calculation that this picture accounts in detail for the line shapes and dependencies observed experimentally.