Magnetic Moment Oscillations in a Quantum Hall Ring

2004/04/30 by Lachezar S. Georgiev, Michael R. Geller
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.70.155304

published as Phys. Rev. B 70, 155304 (2004) · 6 pages, 6 figures, RevTex, 4 GIF animations of the charge and current densities added at http://theo.inrne.bas.bg/~lgeorg/animated-text.html

arxiv created 2004/05/11 · arxiv updated 2009/12/01

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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