U_q(sl(2)) Classification of Quantum Hall Effect Wave Functions
Omer Faruk Dayi
Quantum Hall effect wave functions corresponding to the filling factors 1/2p+1, 2/2p+1, ..., 2p/2p+1, 1, where p is a positive integer are shown to form a basis of irreducible cyclic representation of the quantum group U_q(sl(2)) at q^{2p+1}=1. Thus, the wave functions 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)).
•Apr 11, 1997•0 citations