Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice.

@article{Huang2018QuantumSH,
  title={Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice.},
  author={Huaqing Huang and Feng Liu},
  journal={Physical review letters},
  year={2018},
  volume={121 12},
  pages={
          126401
        }
}
  • H. Huang, F. Liu
  • Published 17 September 2018
  • Physics, Medicine
  • Physical review letters
Despite the rapid progress in the field of the quantum spin Hall (QSH) effect, most of the QSH systems studied up to now are based on crystalline materials. Here we propose that the QSH effect can be realized in quasicrystal lattices (QLs). We show that the electronic topology of aperiodic and amorphous insulators can be characterized by a spin Bott index B_{s}. The nontrivial QSH state in a QL is identified by a nonzero spin Bott index B_{s}=1, associated with robust edge states and quantized… Expand
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