Edge states in a circular quantum dot

The wave functions and currents in a circular quantum dot in a perpendicular magnetic field are calculated. The current in condensed (high-field) eigenstates is composed of concentric rings of current flowing in opposite directions. The current flow near the dot center flows in the direction opposite that expected from the Lorentz force. It is this inner circulation that is responsible for the ‘‘reverse’’ current flow associated with edge states. The correspondence between the quantum-mechanical currents and classical-particle trajectories is examined.