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

Author

Hian Ann, Christopher TING, Singapore Management UniversityFollow

Publication Type

Journal Article

Publication Date

1992

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.

Discipline

Physical Sciences and Mathematics

Research Areas

Quantitative Finance

Publication

International Journal of Modern Physics B

Volume

6

Issue

19

First Page

3155

Last Page

3178

ISSN

0217-9792

Identifier

10.1142/S0217979292002425

Citation

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.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/1881