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Self-organised criticality in the quantum Hall effect

Phillips, K. L., Elliott, Martin, Lu, Y., Herrenden-Harker, William, Matthews, A. J., Gething, J. D., Usher, A., Henini, M., Ritchie, D. A. and Simmons, M. Y. 2004. Self-organised criticality in the quantum Hall effect. Physica E: Low-dimensional Systems and Nanostructures 22 (1-3) , pp. 210-213. 10.1016/j.physe.2003.11.251

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We have measured breakdown of the quantum Hall effect in various two-dimensional electron gases formed in MBE-grown GaAs-(Al,Ga)As modulation-doped heterostructures around filling factor ν=2, using a contact-free method. In this method, circulating eddy currents are induced in the sample upon sweeping the magnetic field, and are detected via their magnetic moment using a sensitive magnetometer. At sufficiently high sweep rates, and temperatures below about View the MathML source, the induced eddy current peak size saturates, and often a ‘noisy’ breakdown of the current is observed superimposed on the main eddy current peak. We describe a simple interpretation of this breakdown in terms of a self-organised criticality model of breakdown of the quantum Hall effect, due to the strong Hall field perpendicular to the eddy current direction.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QC Physics
Uncontrolled Keywords: Quantum Hall; Breakdown; Self-organised systems
Publisher: Elsevier
ISSN: 1386-9477
Last Modified: 15 Jul 2020 14:16

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