Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))

Details Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2)) Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))

1997-04-11

arxiv.org/abs/q-alg/9704010v2

J. Phys. A: Math. Gen. 31 (1998) 3523

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Version to appear in Jour. Phys. A

Scientific paper

10.1088/0305-4470/31/15/016

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)).

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