Mutual statistics, braid group, and the fractional quantum Hall effect

Details Mutual statistics, braid group, and the fractional quantum Hall effect Mutual statistics, braid group, and the fractional quantum Hall effect

1992-07-17

arxiv.org/abs/cond-mat/9207020v1

Int.J.Mod.Phys. B6 (1992) 3155-3178

Physics

Condensed Matter

LaTex 26 pages

Scientific paper

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.

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