Topological edge states and quantum Hall effect in the Haldane model

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dc.creatorHao, Ningning
dc.creatorZhang, Ping
dc.creatorWang, Zhigang
dc.creatorZhang, Wei
dc.creatorWang, Yupeng
dc.date2008-12-31
dc.date.accessioned2026-07-07T12:23:40Z
dc.date.available2026-07-07T12:23:40Z
dc.descriptionWe 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.
dc.description5 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0901.0050
dc.identifierhttp://arxiv.org/abs/0901.0050
dc.identifierPhys. Rev. B 78, 075438 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.075438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214068
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleTopological edge states and quantum Hall effect in the Haldane model
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