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

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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.

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Authors and Affiliations

  1. School of Zhangjiagang, Jiangsu University of Science and Technology, Zhangjiagang, 215600, P.R. China

    Yuan Yang & Xiaobing Li

  2. National Laboratory of Solid State Microstructures, Nanjing University, Nanjing, 210093, P.R. China

    Yuan Yang

Authors
  1. Yuan Yang
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  2. Xiaobing Li
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Correspondence to Yuan Yang.

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Yang, Y., Li, X. Topological phase transitions on the square-octagon lattice with next-nearest-neighbor hopping. Eur. Phys. J. B 92, 277 (2019). https://doi.org/10.1140/epjb/e2019-100488-5

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  • DOI: https://doi.org/10.1140/epjb/e2019-100488-5

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