Effective vector-field theory and long-wavelength universality of the fractional quantum Hall effect

We report on an effective vector-field theory of the fractional quantum Hall effect that takes into account projection to Landau levels. The effective theory refers to neither the composite-boson nor composite-fermion picture, but properly reproduces the results consistent with them, thus revealing...

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Bibliographic Details
Published in:Physica. E, Low-dimensional systems & nanostructures Low-dimensional systems & nanostructures, 2002, Vol.12 (1), p.68-71
Main Author: Shizuya, K.
Format: Article
Language:English
Subjects:
Bosonization
Composite fermions
Quantum Hall effect
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Summary:We report on an effective vector-field theory of the fractional quantum Hall effect that takes into account projection to Landau levels. The effective theory refers to neither the composite-boson nor composite-fermion picture, but properly reproduces the results consistent with them, thus revealing the universality of the long-wavelength characteristics of the quantum Hall states. In particular, the dual-field Lagrangian of Lee and Zhang is obtained, and an argument is given to verify the identification by Goldhaber and Jain of a composite fermion as a dressed electron. The generalization to double-layer systems is also remarked.
ISSN:1386-9477
1873-1759
DOI:10.1016/S1386-9477(01)00244-2