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

K. Shizuya
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Abstract

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 on.

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K. Shizuya. 2001-10-22. Effective vector-field theory and long-wavelength universality of the fractional quantum Hall effect. https://doi.org/10.1016/s1386-9477(01)00244-2

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