Magnetic Moment Oscillations in a Quantum Hall Ring

Details Magnetic Moment Oscillations in a Quantum Hall Ring Magnetic Moment Oscillations in a Quantum Hall Ring

2004-04-28

arxiv.org/abs/cond-mat/0404681v2

Phys. Rev. B 70, 155304 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 6 figures, RevTex, 4 GIF animations of the charge and current densities added at http://theo.inrne.bas.bg/~lgeorg/a

Scientific paper

10.1103/PhysRevB.70.155304

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

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