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Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect

Year: 1992
Type: article
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.
Author: CHRISTOPHER TING
Language: English
Open Access status: green
OpenAlex ID: W2134579519
FWCI: 0.693
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Cited by: 3
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