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29 March 2024
 
  » arxiv » cond-mat/0110451

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Effective vector-field theory and long-wavelength universality of the fractional quantum Hall effect
K. Shizuya ;
Date 22 Oct 2001
Subject Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall
AbstractWe 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 on.
Source arXiv, cond-mat/0110451
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