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Temperature dependence of the breakdown of the quantum Hall effect studied by induced currents

Matthews, A., Kavokin, K., Usher, A., Portnoi, M., Zhu, M., Gething, J., Elliott, Martin, Herrenden-Harker, William, Phillips, K., Ritchie, D., Simmons, M., Sorensen, C., Hansen, O., Mironov, O., Myronov, M., Leadley, D. and Henini, M. 2004. Temperature dependence of the breakdown of the quantum Hall effect studied by induced currents. Physical Review B: Condensed Matter and Materials Physics 70 (7) , 075317-1-075317-8. 10.1103/PhysRevB.70.075317

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We have developed a model of the high-current breakdown of the integer quantum Hall effect, as measured in contactless experiments using a highly-sensitive torsion balance magnetometer. The model predicts that, for empirically “low-mobility” samples (μ<75m2V−1s−1), the critical current for breakdown should decrease with, and have a linear dependence on, temperature. This prediction is verified experimentally with the addition of a low-temperature saturation of the critical current at a temperature that depends on both sample number density and filling factor. It is shown that this saturation is consistent with quasielastic inter-Landau-level scattering when the maximum electric field in the sample reaches a large enough value. In addition we show how this model can be extended to give qualitative agreement with experiments on high-mobility samples.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QC Physics
Publisher: American Physical Society
ISSN: 1098-0121
Last Modified: 15 Jul 2020 14:16

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