Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect
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.
Physical Sciences and Mathematics
International Journal of Modern Physics B
TING, Hian Ann, Christopher.
Mutual Statistics, Braid Group, and the Fractional Quantum Hall Effect. (1992). International Journal of Modern Physics B. 6, (19), 3155-3178. Research Collection Lee Kong Chian School Of Business.
Available at: http://ink.library.smu.edu.sg/lkcsb_research/1881