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., 2020, Volume 112, Issue 3,Pages <nobr>196

This article is cited in 2 papers

CONDENSED MATTER

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

O. A. Tkachenko^a, V. A. Tkachenko^ba, D. G. Baksheev^b, O. P. Sushkov^c

^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

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.

Received: 01.06.2020
Revised: 03.07.2020
Accepted: 07.07.2020

DOI: 10.31857/S1234567820150094