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Simulation of the Quantum Hall Effect in Samples with Weak Long-Range Disorder

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Abstract

The fine structure of the density of states is studied numerically in the quantum Hall effect mode during the ballistic transmission of an electron through an area of 1 µm2 of a two-dimensional electron gas with weak long-range disorder. The calculated widths of strict quantum plateaus agree with experimental data. Periodic conductance oscillations corresponding to the addition of two electrons to the simulated area are found in the central part of the lower Landau band. One-dimensional countercurrents are found inside the area and at its edge, which are separated by a magnetic length and explained by the motion of an electron with a low drift velocity.

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Acknowledgments

We are grateful to A.R. Hamilton, A.A. Bykov, Z.D. Kvon, G.M. Min’kov, D.G. Polyakov, and I.V. Gornyi for the discussion. Computing resources of the Interdepartmental Supercomputer Center of the Russian Academy of Sciences were used.

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Authors and Affiliations

  1. Rzhanov Institute of Semiconductor Physics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    O. A. Tkachenko & V. A. Tkachenko

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    V. A. Tkachenko & D. G. Baksheev

  3. School of Physics, University of New South Wales, 2052, Sydney, Australia

    O. P. Sushkov

Authors
  1. O. A. Tkachenko
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  2. V. A. Tkachenko
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  3. D. G. Baksheev
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  4. O. P. Sushkov
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Correspondence to O. A. Tkachenko.

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Funding

This work was supported by the Russian Science Foundation (project no. 19-72-30023).

Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 3, pp. 196–202.

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Tkachenko, O.A., Tkachenko, V.A., Baksheev, D.G. et al. Simulation of the Quantum Hall Effect in Samples with Weak Long-Range Disorder. Jetp Lett. 112, 186–192 (2020). https://doi.org/10.1134/S0021364020150114

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  • DOI: https://doi.org/10.1134/S0021364020150114

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