Mutual statistics, braid group, and the fractional quantum Hall effect
Condensed Matter
2015-06-25 v1
Abstract
We show that the notion of mutual statistics arises naturally from the representation theory of the braid group over the multi-sheeted surface. A Hamiltonian which describes particles moving on the double-sheeted surface is proposed as a model for the bilayered fractional quantum Hall effect (FQHE) discovered recently. We explicitly show that the quasi-holes of the bilayered Hall fluid display fractional mutual statistics. A model for 3-dimensional FQHE using the multi-layered sample is suggested.
Cite
@article{arxiv.cond-mat/9207020,
title = {Mutual statistics, braid group, and the fractional quantum Hall effect},
author = {C. Ting},
journal= {arXiv preprint arXiv:cond-mat/9207020},
year = {2015}
}
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LaTex 26 pages