Induced currents in the quantum Hall regime: energy storage, persistence, and I-V characteristics
Smith, Martin J.
Usher, Charles D.H.
Williams, Charles D.H.
Physical Review B - Condensed Matter and Materials Physics
American Physical Society
Induced currents associated with the quantum Hall effect are studied in the temperature range 39 mK to 1.6 K, 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.
Copyright © 2012 American Physical Society
Vol. 86 (19), article 195314