scholarly journals Theoretical study of the three-dimensional quantum Hall effect in a periodic electron system

2021 ◽  
Vol 104 (20) ◽  
Author(s):  
H. Geng ◽  
G. Y. Qi ◽  
L. Sheng ◽  
W. Chen ◽  
D. Y. Xing
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Theoretical Study ◽  
Quantum Hall ◽  
Three Dimensional ◽  
Electron System

Magnetocapacitance Investigation of Quantum Hall Effect and Edge States

1997 ◽  
Vol 11 (22) ◽  
pp. 2593-2619 ◽  
Author(s):  
Sadao Takaoka ◽  
Kenichi Oto ◽  
Kazuo Murase
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Electron System ◽  
Edge Length ◽  
Capacitance Measurement ◽  
Edge States ◽  
Bulk Conductivity ◽  
Cyclotron Radius ◽  
Bulk State

The quantum Hall effect for the GaAs/AlGaAs heterostrcture is investigated by an ac capacitance measurement between the two-dimensional electron system (2DES) and the gate on GaAs/AlGaAs. The capacitance minima at the quantum Hall plateaus are mainly determined not by the 2DES area under the gate but by the edge length of 2DES. There exists the high conductive region due to the edge states along the 2DES boundary, when the bulk conductivity σxx is small enough at low temperatures and high magnetic fields. From the temperature and frequency dependence of the capacitance minima, it is found that the measured capacitance consists of the contribution from the edge states and that of the bulk state, which is treated as a distributed circuit of a resistive plate with the conductivity σxx. The evaluated width of edge states from the capacitance is much larger than the magnetic length and the cyclotron radius expected from the one-electron picture. This wide width of edge states can be explained by the compressible-incompressible strip model, in which the screening effect is taken into account. Further the bulk conductivity of less than 10-12 S (S=1/Ω) is measured by the capacitance of the Corbino geometry sample, where the edge states are absent and the capacitance is determined by only σxx in this geometry. The localization of the bulk state is investigated by the obtained σxx.

Three-dimensional quantum Hall effect in Weyl and double-Weyl semimetals

2018 ◽  
Vol 382 (44) ◽  
pp. 3205-3210
Author(s):  
Zhi-Peng Gao ◽  
Zhi Li ◽  
Dan-Wei Zhang
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Three Dimensional ◽  
Weyl Semimetals

scholarly journals Quantum Hall effect in a two-dimensional electron system bent by 90°

2004 ◽  
Vol 22 (1-3) ◽  
pp. 181-184 ◽  
Author(s):  
M. Grayson ◽  
D. Schuh ◽  
M. Bichler ◽  
M. Huber ◽  
G. Abstreiter ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Electron System ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Dimensional Electron System

Quantum Hall effect transitions in a bilayer electron system in tilted magnetic fields

1998 ◽  
Vol 249-251 ◽  
pp. 832-835
Author(s):  
T.S Lay ◽  
T Jungwirth ◽  
L Smrčka ◽  
M Shayegan
Keyword(s):  
Magnetic Fields ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Electron System

Butterfly spectrum and quantum Hall effect in three-dimensional FISDW

2003 ◽  
Vol 133-134 ◽  
pp. 79-81
Author(s):  
M. Koshino ◽  
H. Aoki ◽  
T. Osada
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Three Dimensional
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