Magnetic Moment Oscillations in a Quantum Hall Ring

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We predict non-mesoscopic oscillations in the orbital magnetic moment of a thin semiconductor ring in the quantum Hall effect regime. These oscillations, which occur as a function of magnetic field because of a competition between paramagnetic and diamagnetic currents in the ring, are a direct probe of the equilibrium current distribution in the nonuniform quantum Hall fluid. The amplitude of the oscillating moment in a thin ring with major radius R and minor radius (half width) a is approximately a R e ω c /c, where ω c is the cyclotron frequency.