TY - JOUR

T1 - Simulation of the Quantum Hall Effect in Samples with Weak Long-Range Disorder

AU - Tkachenko, O. A.

AU - Tkachenko, V. A.

AU - Baksheev, D. G.

AU - Sushkov, O. P.

PY - 2020/8/1

Y1 - 2020/8/1

N2 - 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.

AB - 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.

KW - 2-DIMENSIONAL ELECTRON-GAS

KW - DENSITY-OF-STATES

KW - MAGNETIC-FIELD

UR - http://www.scopus.com/inward/record.url?scp=85092327084&partnerID=8YFLogxK

U2 - 10.1134/S0021364020150114

DO - 10.1134/S0021364020150114

M3 - Article

AN - SCOPUS:85092327084

VL - 112

SP - 186

EP - 192

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 3

ER -