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

A. J. Matthews, K. V. Kavokin, A. Usher, M. E. Portnoi, M. Zhu, J. D. Gething, M. Elliott, W. G. Herrenden-Harker, K. Phillips, D. A. Ritchie, M. Y. Simmons, C. B. Sorensen, O. P. Hansen, O. A. Mironov, M. Myronov, D. R. Leadley, M. Henini

Research output

23 Citations (Scopus)

Abstract

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 < 75 m2 V -1 s-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.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume70
Issue number7
DOIs
Publication statusPublished - 1 Aug 2004

Fingerprint

Quantum Hall effect
Induced currents
quantum Hall effect
breakdown
Critical currents
temperature dependence
critical current
Magnetometers
saturation
Torsional stress
Temperature
Experiments
Electric fields
Scattering
magnetometers
integers
torsion
high current
temperature
electric fields

Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Matthews, A. J. ; Kavokin, K. V. ; Usher, A. ; Portnoi, M. E. ; Zhu, M. ; Gething, J. D. ; Elliott, M. ; Herrenden-Harker, W. G. ; Phillips, K. ; Ritchie, D. A. ; Simmons, M. Y. ; Sorensen, C. B. ; Hansen, O. P. ; Mironov, O. A. ; Myronov, M. ; Leadley, D. R. ; Henini, M. / Temperature dependence of the breakdown of the quantum Hall effect studied by induced currents. In: Physical Review B - Condensed Matter and Materials Physics. 2004 ; Vol. 70, No. 7.
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Matthews, AJ, Kavokin, KV, Usher, A, Portnoi, ME, Zhu, M, Gething, JD, Elliott, M, Herrenden-Harker, WG, Phillips, K, Ritchie, DA, Simmons, MY, Sorensen, CB, Hansen, OP, Mironov, OA, Myronov, M, Leadley, DR & 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, vol. 70, no. 7. https://doi.org/10.1103/PhysRevB.70.075317

Temperature dependence of the breakdown of the quantum Hall effect studied by induced currents. / Matthews, A. J.; Kavokin, K. V.; Usher, A.; Portnoi, M. E.; Zhu, M.; Gething, J. D.; Elliott, M.; Herrenden-Harker, W. G.; Phillips, K.; Ritchie, D. A.; Simmons, M. Y.; Sorensen, C. B.; Hansen, O. P.; Mironov, O. A.; Myronov, M.; Leadley, D. R.; Henini, M.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 70, No. 7, 01.08.2004.

Research output

TY - JOUR

T1 - Temperature dependence of the breakdown of the quantum Hall effect studied by induced currents

AU - Matthews, A. J.

AU - Kavokin, K. V.

AU - Usher, A.

AU - Portnoi, M. E.

AU - Zhu, M.

AU - Gething, J. D.

AU - Elliott, M.

AU - Herrenden-Harker, W. G.

AU - Phillips, K.

AU - Ritchie, D. A.

AU - Simmons, M. Y.

AU - Sorensen, C. B.

AU - Hansen, O. P.

AU - Mironov, O. A.

AU - Myronov, M.

AU - Leadley, D. R.

AU - Henini, M.

PY - 2004/8/1

Y1 - 2004/8/1

N2 - 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 < 75 m2 V -1 s-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.

AB - 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 < 75 m2 V -1 s-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.

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JO - Physical Review B-Condensed Matter

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