scholarly journals Stability of multielectron bubbles in high Landau levels

2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Dohyung Ro ◽  
S. A. Myers ◽  
N. Deng ◽  
J. D. Watson ◽  
M. J. Manfra ◽  
...  
Keyword(s):  
Landau Levels ◽  
Multielectron Bubbles

Chern-Simons theory for electrons in high Landau levels

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-223-Pr10-225
Author(s):  
S. Scheidl ◽  
B. Rosenow
Keyword(s):  
Landau Levels ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

MATHEMATICAL MODELING OF TEMPERATURE EFFECT ON THE FAN CHART OF MAGNETOABSORPTION SPECTRUM IN SEMICONDUCTORS

2019 ◽  
pp. 104-115
Author(s):  
G. Gulyamov ◽  
U. I. Erkaboev ◽  
A. G. Gulyamov
Keyword(s):  
Mathematical Modeling ◽  
Magnetic Field ◽  
Temperature Dependence ◽  
Density Of States ◽  
Landau Levels ◽  
Joint Density ◽  
Narrow Gap ◽  
Narrow Gap Semiconductors ◽  
Dispersion Law ◽  
The Magnetic Field

The article considers the oscillations of interband magneto-optical absorption in semiconductors with the Kane dispersion law. We have compared the changes in oscillations of the joint density of states with respect to the photon energy for different Landau levels in parabolic and non-parabolic zones. An analytical expression is obtained for the oscillation of the combined density of states in narrow-gap semiconductors. We have calculated the dependence of the maximum photon energy on the magnetic field at different temperatures. A theoretical study of the band structure showed that the magnetoabsorption oscillations decrease with an increase in temperature, and the photon energies nonlinearly depend on a strong magnetic field. The article proposes a simple method for calculating the oscillation of joint density of states in a quantizing magnetic field with the non-quadratic dispersion law. The temperature dependence of the oscillations joint density of states in semiconductors with non-parabolic dispersion law is obtained. Moreover, the article studies the temperature dependence of the band gap in a strong magnetic field with the non-quadratic dispersion law. The method is applied to the research of the magnetic absorption in narrow-gap semiconductors with nonparabolic dispersion law. It is shown that as the temperature increases, Landau levels are washed away due to thermal broadening and density of states turns into a density of states without a magnetic field. Using the mathematical model, the temperature dependence of the density distribution of energy states in strong magnetic fields is considered. It is shown that the continuous spectrum of the density of states, measured at the temperature of liquid nitrogen, at low temperatures turns into discrete Landau levels. Mathematical modeling of processes using experimental values of the continuous spectrum of the density of states makes it possible to calculate discrete Landau levels. We have created the three-dimensional fan chart of magneto optical oscillations of semiconductors with considering for the joint density of energy states. For a nonquadratic dispersion law, the maximum frequency of the absorbed light and the width of the forbidden band are shown to depend nonlinearly on the magnetic field. Modeling the temperature  dependence allowed us to determine the Landau levels in semiconductors in a wide temperature spectrum. Using the proposed model, the experimental results obtained for narrow-gap semiconductors are analyzed. The theoretical results are compared with experimental results.

Surface acoustic waves (SAW) interaction with 2DES at spin-splitted Landau levels

2000 ◽  
Vol 284-288 ◽  
pp. 1732-1733
Author(s):  
Irina L Drichko ◽  
Andrey M Diakonov ◽  
Valery V Preobrazenskii ◽  
Ivan Yu Smirnov ◽  
Alexandr I Toropov
Keyword(s):  
Acoustic Waves ◽  
Surface Acoustic Waves ◽  
Landau Levels

scholarly journals Helical superconducting edge modes from pseudo-Landau levels in graphene

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Daniel Sabsovich ◽  
Marc W. Bockrath ◽  
Kirill Shtengel ◽  
Eran Sela
Keyword(s):  
Landau Levels

scholarly journals EDGE ASYMPTOTICS OF PLANAR ELECTRON DENSITIES

1994 ◽  
Vol 08 (11n12) ◽  
pp. 1625-1638 ◽  
Author(s):  
GERALD V. DUNNE
Keyword(s):  
Asymptotic Expansion ◽  
Magnetic Flux ◽  
Landau Level ◽  
Particle Number ◽  
Landau Levels ◽  
Electron Densities ◽  
Boundary Location ◽  
Boundary Characteristics ◽  
Planar Electron

The N→∞ limit of the edges of finite planar electron densities is discussed for higher Landau levels. For full filling, the particle number is correlated with the magnetic flux, and hence with the boundary location, making the N→∞ limit more subtle at the edges than in the bulk. In the nth Landau level, the density exhibits n distinct steps at the edge, in both circular and rectangular samples. The boundary characteristics for individual Landau levels, and for successively filled Landau levels, are computed in an asymptotic expansion.

scholarly journals Coulomb-interaction induced coupling of Landau levels in intrinsic and modulation-doped quantum wells

2017 ◽  
Vol 95 (24) ◽  
Author(s):  
J. Paul ◽  
C. E. Stevens ◽  
H. Zhang ◽  
P. Dey ◽  
D. McGinty ◽  
...  
Keyword(s):  
Quantum Wells ◽  
Coulomb Interaction ◽  
Landau Levels

Gauge invariance of Landau levels

1993 ◽  
Vol 47 (6) ◽  
pp. 715-719 ◽  
Author(s):  
T Haugset ◽  
J Aa Ruud ◽  
F Ravndal
Keyword(s):  
Gauge Invariance ◽  
Landau Levels
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