scholarly journals MAGNETOTRANSPORT IN DILUTE 2D SI-MOSFET SYSTEM

2004 ◽  
Vol 18 (27n29) ◽  
pp. 3609-3612 ◽  
Author(s):  
M. V. CHEREMISIN
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Field Configuration ◽  
Zero Field ◽  
Magnetic Field Configuration ◽  
Valley Splitting ◽  
2D System ◽  
Shubnikov De Haas Oscillations

The beating pattern of Shubnikov-de Haas oscillations is reproduced in crossed magnetic field configuration and in presence of zero-field valley splitting in Si -MOSFET 2D system. The features of Quantum Hall Effect in extremely dilute 2D system are discussed.

scholarly journals The quantum Hall effect in the absence of disorder

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Kyung-Su Kim ◽  
Steven A. Kivelson
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Finite Interval ◽  
Quantum Hall ◽  
Wigner Crystal ◽  
Quasi Particle ◽  
Hall Conductance ◽  
Finite Extent

AbstractIt is widely held that disorder is essential to the existence of a finite interval of magnetic field in which the Hall conductance is quantized, i.e., for the existence of “plateaus” in the quantum Hall effect. Here, we show that the existence of a quasi-particle Wigner crystal (QPWC) results in the persistence of plateaus of finite extent even in the limit of vanishing disorder. Several experimentally detectable features that characterize the behavior in the zero disorder limit are also explored.

CHIRAL ANOMALY IN EUCLIDEAN (2+1)-DIMENSIONAL SPACE AND AN APPLICATION TO THE QUANTUM HALL EFFECT

2008 ◽  
Vol 22 (17) ◽  
pp. 2675-2689 ◽  
Author(s):  
PAUL BRACKEN
Keyword(s):  
Magnetic Field ◽  
Dirac Equation ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Zero Mode ◽  
Dimensional Space ◽  
Quantum Hall ◽  
Chiral Anomaly ◽  
Regularization Procedure ◽  
Chiral Transformation

The chiral anomaly in (2+1)-dimensions and its relationship to the zero mode of the Dirac equation in the massless case is studied. Solutions are obtained for the Dirac equation under a vector potential which generates a constant magnetic field. It is shown that there is an anomaly term associated with the corresponding chiral transformation. It can be calculated by using the regularization procedure of Fujikawa. The results are applied to the quantum Hall effect.

Effect of magnetic field configuration on discharge characteristic of a Hall effect thruster with a variable channel

Vacuum ◽  
2019 ◽  
Vol 162 ◽  
pp. 78-84 ◽  
Author(s):  
Hong Li ◽  
Haotian Fan ◽  
Xingyu Liu ◽  
Minghao Ding ◽  
Yongjie Ding ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Field Configuration ◽  
Magnetic Field Configuration ◽  
Discharge Characteristic ◽  
Hall Effect Thruster

scholarly journals WANNIER FUNCTIONS AND FRACTIONAL QUANTUM HALL EFFECT

1995 ◽  
Vol 09 (25) ◽  
pp. 3333-3344 ◽  
Author(s):  
R. FERRARI
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Wannier Functions ◽  
Hartree Fock ◽  
Fock State

We introduce and study the Wannier functions for an electron moving in a plane under the influence of a perpendicular uniform and constant magnetic field. The relevance for the Fractional Quantum Hall Effect is discussed; in particular, it shown that an interesting Hartree–Fock state can be constructed in terms of Wannier functions.

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