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Topological phase transitions on the square-octagon lattice with next-nearest-neighbor hopping

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  • Yuan Yang

    (School of Zhangjiagang, Jiangsu University of Science and Technology
    National Laboratory of Solid State Microstructures, Nanjing University)

  • Xiaobing Li

    (School of Zhangjiagang, Jiangsu University of Science and Technology)

Abstract

We investigate the topological phase transitions on the square-octagon lattice with an intrinsic spin-orbit coupling and an additional real next-nearest-neighbor hopping. We study the evolution of the band structure under the next-nearest-neighbor hopping parameters. Based on the spin Chern numbers, we present the phase diagrams of our model and find that a quantum spin Hall phase can be realized at different filling factors. Upon the inclusion of the staggered potential, we also discuss the effect of the time-reversal symmetry breaking term on the stability of the quantum spin Hall state. The variation of the spin-dependent staggered potential is shown to induce the time-reversal symmetry-broken quantum spin Hall phases, and the spin-imbalanced and spin-filtered quantum anomalous Hall phases. The phase transitions are always accompanied by closing of the bulk band gap. We finally demonstrate the edge-state properties of different topological phases. Graphical abstract

Suggested Citation

  • Yuan Yang & Xiaobing Li, 2019. "Topological phase transitions on the square-octagon lattice with next-nearest-neighbor hopping," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(12), pages 1-5, December.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:12:d:10.1140_epjb_e2019-100488-5
    DOI: 10.1140/epjb/e2019-100488-5
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    Keywords

    Solid State and Materials;

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