Topological edge states and quantum Hall effect in the Haldane model
Topological edge states and quantum Hall effect in the Haldane model
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DOI：
10.1103/physrevb.78.075438
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发表时间：
2008-08
影响因子：
3.7
通讯作者：
N. Hao;Ping Zhang;Zhigang Wang;Wei Zhang;Yupeng Wang
中科院分区：
文献类型：
--
作者：
N. Hao;Ping Zhang;Zhigang Wang;Wei Zhang;Yupeng Wang
研究了具有之字形/扶手格边的Haldane模型的拓扑边态。导出了求解边缘态能量的哈珀方程。结果表明，在复能黎曼曲面上，块能隙中存在两个边缘态，对应于Bloch函数的两个零点。在适当的系统参数范围内，边缘态能量环绕黎曼表面的空穴运动。量子化的霍尔电导可以用边缘态的绕组数来表示，这反映了霍尔丹模型的拓扑特征。
We study the topological edge states of the Haldane 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.