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Abstract: We study the topological edge states of the Haldane-s graphene model withzigzag-armchair lattice edges. The Harper equation for solving the energies ofthe edge states is derived. The results show that there are two edge states inthe bulk energy gap, corresponding to the two zero points of the Bloch functionon the complex-energy Riemann surface. The edge-state energy loops move aroundthe hole of the Riemann surface in appropriate system parameter regimes. Thequantized Hall conductance can be expressed by the winding numbers of the edgestates, which reflects the topological feature of the Haldane model.



Author: Ningning Hao, Ping Zhang, Zhigang Wang, Wei Zhang, Yupeng Wang

Source: https://arxiv.org/







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