Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-12-31
Phys. Rev. B 78, 075438 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages, 6 figures
Scientific paper
10.1103/PhysRevB.78.075438
We study the topological edge states of the Haldane's graphene model with zigzag/armchair lattice edges. The Harper equation for solving the energies of the edge states is derived. The results show that there are two edge states in the bulk energy gap, corresponding to the two zero points of the Bloch function on the complex-energy Riemann surface. The edge-state energy loops move around the hole of the Riemann surface in appropriate system parameter regimes. The quantized Hall conductance can be expressed by the winding numbers of the edge states, which reflects the topological feature of the Haldane model.
Hao Ningning
Wang Yupeng
Wang Zhigang
Zhang Ping
Zhang Wanchuan
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