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Hexagonally warped Dirac cones and topological phase transition in silicene superstructure

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  • Motohiko Ezawa

Abstract

Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice. We investigate the topological properties of a silicene superstructure generated by an external periodic potential. The superstructure is a quantum spin-Hall (QSH) insulator if it is topologically connected to silicene. It is remarkable that two inequivalent K and K′ points in the silicene Brillouin zone are identified in certain superstructures. In such a case, two Dirac cones coexist at the same Dirac point in the momentum space and they are hexagonally warped by the Coulomb interaction. We carry out a numerical analysis by taking an instance of the (3 × 3) superstructure on the (4 × 4) structure of the Ag substrate. We show that it is a QSH insulator, that there exists no topological phase transition by external electric field, and that the hexagonally warping occurs in the band structure. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Motohiko Ezawa, 2013. "Hexagonally warped Dirac cones and topological phase transition in silicene superstructure," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(4), pages 1-8, April.
  • Handle: RePEc:spr:eurphb:v:86:y:2013:i:4:p:1-8:10.1140/epjb/e2013-31029-1
    DOI: 10.1140/epjb/e2013-31029-1
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    Mesoscopic and Nanoscale Systems;

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