Induced currents in the quantum Hall regime: Energy storage, persistence, and I-V characteristics

M. J. Smith, A. Usher, C. D. H. Williams, A. Shytov, A. S. Sachrajda, A. Kam, and Z. R. Wasilewski
Phys. Rev. B 86, 195314 – Published 26 November 2012

Abstract

Induced currents associated with the quantum Hall effect are studied in the temperature range 39mK to 1.6K, and at Landau-level filling factors ν=1,2,3,4, and 6, using torsion-balance magnetometry. A quantitative link is demonstrated between (nonlinear induced current) vs (inducing electromotive force) curves, and the subexponential decay of the induced current in a static magnetic field. The energy storage in the induced currents is reexamined with the conclusion that the predominant mechanism for storage is inductive, through the mutual inductance between the sample and the magnet, not capacitive as previous reports have assumed. The temperature dependencies of the currents are consistent with previous models, except for a low-temperature saturation at filling factors ν=1 and ν=2, which we attribute to electron heating.

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  • Received 20 June 2012

DOI:https://doi.org/10.1103/PhysRevB.86.195314

©2012 American Physical Society

Authors & Affiliations

M. J. Smith, A. Usher, C. D. H. Williams, and A. Shytov

  • School of Physics, University of Exeter, Stocker Road, Exeter EX4 4QL, UK

A. S. Sachrajda, A. Kam, and Z. R. Wasilewski

  • Institute for Microstructural Sciences, National Research Council of Canada, Ottawa, Ontario, Canada K1A 0R6

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Vol. 86, Iss. 19 — 15 November 2012

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