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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2020, Volume 112, Issue 3, Pages 196–202
DOI: https://doi.org/10.31857/S1234567820150094 (Mi jetpl6232) 		 
This article is cited in 2 scientific papers (total in 2 papers)

CONDENSED MATTER

Simulation of the quantum Hall effect in samples with weak long-range disorder

O. A. Tkachenkoa, V. A. Tkachenkoba, D. G. Baksheevb, O. P. Sushkovc

a Rzhanov Institute of Semiconductor Physics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
b Novosibirsk State University, Novosibirsk, 630090 Russia
c School of Physics, University of New South Wales, 2052 Sydney, Australia
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DOI: https://doi.org/10.31857/S1234567820150094
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 $\mu$m$^2$ 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.
Funding agency Grant number
Russian Science Foundation 19-72-30023
This work was supported by the Russian Science Foundation (project no. 19-72-30023).
Received: 01.06.2020
Revised: 03.07.2020
Accepted: 07.07.2020
English version:
Journal of Experimental and Theoretical Physics Letters, 2020, Volume 112, Issue 3, Pages 186–192
DOI: https://doi.org/10.1134/S0021364020150114
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. A. Tkachenko, V. A. Tkachenko, D. G. Baksheev, O. P. Sushkov, “Simulation of the quantum Hall effect in samples with weak long-range disorder”, Pis'ma v Zh. Èksper. Teoret. Fiz., 112:3 (2020), 196–202; JETP Letters, 112:3 (2020), 186–192
Citation in format AMSBIB
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