• 文献标题:   Manipulation of Dirac points in graphene-like crystals
  • 文献类型:   Article, Proceedings Paper
  • 作  者:   DE GAIL R, FUCHS JN, GOERBIG MO, PIECHON F, MONTAMBAUX G
  • 作者关键词:   graphene, dirac point, landau level, berry phase, topological transition
  • 出版物名称:   PHYSICA BCONDENSED MATTER
  • ISSN:   0921-4526 EI 1873-2135
  • 通讯作者地址:   Univ Paris 11
  • 被引频次:   32
  • DOI:   10.1016/j.physb.2012.01.072
  • 出版年:   2012

▎ 摘  要

We review different scenarios for the motion and merging of Dirac points in 2D crystals. These different types of merging can be classified according to a winding number (a topological Berry phase) attached to each Dirac point. For each scenario, we calculate the Landau level spectrum and show that it can be quantitatively described by a semiclassical quantization rule for the constant energy areas. This quantization depends on how many Dirac points are enclosed by these areas. We also emphasize that different scenarios are characterized by different numbers of topologically protected zero energy Landau levels. (C) 2012 Elsevier B.V. All rights reserved.