The quantum Hall effect: The symmetry and the velocity

The complete and the correct interpretation of all of the fractions found in the quantum Hall effect of AlGaAs/GaAs heterostructures is presented by use of a specific treatment of spin. Hence the flux quantization depends on spin and the Lande's g value expression is replaced by a linear formul...

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Bibliographic Details
Published in:Journal of physics. Conference series 2013-01, Vol.423 (1), p.12003-8
Main Author: Shrivastava, Keshav N
Format: Article
Language:English
Subjects:
Aluminum gallium arsenides
Conjugates
Electromagnetism
Electrons
Equivalence
Flux quantization
Helicity
Heterostructures
Particle spin
Physics
Quantum Hall effect
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Summary:The complete and the correct interpretation of all of the fractions found in the quantum Hall effect of AlGaAs/GaAs heterostructures is presented by use of a specific treatment of spin. Hence the flux quantization depends on spin and the Lande's g value expression is replaced by a linear formula. The fractions occur in pairs of left and right helicities and the velocity of the particles is directed such that if one particle moves upstream then its conjugate moves downstream. The change in the sign of the spin is equivalent to the change in the sign of the velocity.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/423/1/012003