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Quantum Group Symmetry in Hofstadter Problem
Authors:LI Min-Si  LIU Yan-Na
Institution:1. Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, China ;2. Liuhui Center for Applied Mathematics, Nankai University, Tianjin 300071, China ;3. Military Traffic Institute, Tianjin 300161, China
Abstract:We show that there is a quantum Slq(2) group symmetry in Hofstadter problem on square lattice. The cyclic representation of the quantum group is discussed and its application for computing the degeneracy density of the model is shown.
Keywords:Hofstadter problem  quantum Slq(2) group  cyclic representation                                                                                                                                
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