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

C. Ting
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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.

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C. Ting. 1992-07-17. Mutual statistics, braid group, and the fractional quantum Hall effect. https://doi.org/10.1142/s0217979292002425

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