Applications of Quantum Group to FQH Effect
classification
❄️ cond-mat
keywords
quantumdegeneracyeffectgroupsymmetryapplicationsboundarycondition
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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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