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

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

2001-10-22

arxiv.org/abs/cond-mat/0110451v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, Revtex, ep2ds-14, to appear in Physica E

Scientific paper

10.1016/S1386-9477(01)00244-2

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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