Exotic galilean symmetry and the Hall effect
High Energy Physics - Theory
2009-11-07 v1
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.
Cite
@article{arxiv.hep-th/0111033,
title = {Exotic galilean symmetry and the Hall effect},
author = {C. Duval and P. A. Horvathy},
journal= {arXiv preprint arXiv:hep-th/0111033},
year = {2009}
}
Comments
Talk given by P. A. Horvathy at the Joint APCTP- Nankai Symposium. Tianjin (China), Oct.2001. To appear in the Proceedings, to be published by Int. Journ. Mod. Phys. B. 7 pages, LaTex, IJMPB format. no figures