Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))
q-alg
2009-10-30 v2 Mesoscale and Nanoscale Physics
Quantum Algebra
Abstract
Quantum Hall effect wave functions corresponding to the filling factors 1/2p+1, 2/2p+1, ..., 2p/2p+1, 1, are shown to form a basis of irreducible cyclic representation of the quantum algebra U_q(sl(2)) at q^{2p+1}=1. Thus, the wave functions \Psi_{P/Q} possessing filling factors P/Q<1 where Q is odd and P, Q are relatively prime integers are classified in terms of U_q(sl(2)).
Cite
@article{arxiv.q-alg/9704010,
title = {Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))},
author = {O. F. Dayi},
journal= {arXiv preprint arXiv:q-alg/9704010},
year = {2009}
}
Comments
Version to appear in Jour. Phys. A