Applications of Quantum Group to FQH Effect

Details Applications of Quantum Group to FQH Effect Applications of Quantum Group to FQH Effect

1995-09-15

arxiv.org/abs/cond-mat/9509092v1

Physics

Condensed Matter

Preprint ( reprint ) of Nankai Institute of Mathematics. Submitted to Phys. Rev. B. To request a hard copy, write to Prof. Mo-

Scientific paper

We show that there exists quantum group symmetry $ sl_{q}(2) $ in the
fractional quantum Hall effect (FQHE) and this symmetry governs the degeneracy
of ground-state level. Under the periodic boundary condition, the degeneracy of
the ground state is related to the cyclic representation of SL_q(2). We also
discuss the influence of impurity.

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