The topological quantum phase transitions in Lieb lattice driven by the Rashba SOC and exchange field

  • Rui Wang
  • Qian Qiao
  • Bin Wang
  • Xiu-Huan Ding
  • Yi-Fu Zhang
Regular Article
  • 157 Downloads

Abstract

The quantum spin Hall (QSH) effect and the quantum anomalous Hall (QAH) effect in Lieb lattice are investigated in the presence of both Rashba spin-orbit coupling (SOC) and uniform exchange field. The Lieb lattice has a simple cubic symmetry, which is characterized by the single Dirac-cone per Brillouin zone and the middle flat band in the band structure. The intrinsic SOC is essentially needed to open the full energy gap in the bulk. The QSH effect could survive even in the presence of the exchange field. In terms of the first Chern number and the spin Chern number, we study the topological nature and the topological phase transition from the time-reversal symmetry broken QSH effect to the QAH effect. For Lieb lattice ribbons, the energy spectrum and the wave-function distributions are obtained numerically, where the helical edge states and the chiral edge states reveal the non-trivial topological QSH and QAH properties, respectively.

Keywords

Mesoscopic and Nanoscale Systems 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Rui Wang
    • 1
  • Qian Qiao
    • 1
  • Bin Wang
    • 2
  • Xiu-Huan Ding
    • 3
  • Yi-Fu Zhang
    • 4
    • 5
  1. 1.Department of Electronic Information Science and EngineeringZhejiang Ocean UniversityZhoushanP.R. China
  2. 2.College of Physics Science and Technology, Shenzhen UniversityShenzhenP.R. China
  3. 3.College of Mathematics, Physics and Information Science, Zhejiang Ocean UniversityZhoushanP.R. China
  4. 4.Department of Physics and Astronomy, Louisiana State UniversityBaton RougeUSA
  5. 5.Center for Computation and Technology, Louisiana State UniversityBaton RougeUSA

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