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Magnetic Moment Oscillations in a Quantum Hall Ring

Lachezar S. Georgiev·Michael R. Geller
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Abstract

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 $a R e ω_{\rm c} /c$, where $ω_{\rm c}$ is the cyclotron frequency.

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Lachezar S. Georgiev, Michael R. Geller. 2004-05-11. Magnetic Moment Oscillations in a Quantum Hall Ring. https://doi.org/10.1103/physrevb.70.155304

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