Exotic galilean symmetry and the Hall effect

C. Duval; P. A. Horvathy

doi:10.1142/s021797920201169x

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arXiv · hep-th/0111033

Exotic galilean symmetry and the Hall effect

C. Duval·P. A. Horvathy

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Abstract

The ``Laughlin'' picture of the Fractional Quantum Hall effect can be derived using the ``exotic'' model based on the two-fold centrally-extended planar Galilei group. When coupled to a planar magnetic field of critical strength determined by the extension parameters, the system becomes singular, and ``Faddeev-Jackiw'' reduction yields the ``Chern-Simons'' mechanics of Dunne, Jackiw, and Trugenberger. The reduced system moves according to the Hall law.

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C. Duval, P. A. Horvathy. 2001-11-05. Exotic galilean symmetry and the Hall effect. https://doi.org/10.1142/s021797920201169x

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