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

Author

Listed:
  • Rui Wang

    (Zhejiang Ocean University)

  • Qian Qiao

    (Zhejiang Ocean University)

  • Bin Wang

    (College of Physics Science and Technology, Shenzhen University)

  • Xiu-Huan Ding

    (College of Mathematics, Physics and Information Science, Zhejiang Ocean University)

  • Yi-Fu Zhang

    (Department of Physics and Astronomy, Louisiana State University
    Center for Computation and Technology, Louisiana State University)

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.

Suggested Citation

  • Rui Wang & Qian Qiao & Bin Wang & Xiu-Huan Ding & Yi-Fu Zhang, 2016. "The topological quantum phase transitions in Lieb lattice driven by the Rashba SOC and exchange field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(9), pages 1-6, September.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:9:d:10.1140_epjb_e2016-70176-5
    DOI: 10.1140/epjb/e2016-70176-5
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    Mesoscopic and Nanoscale Systems;

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