# Theory of spin Bott index for quantum spin Hall states in nonperiodic systems

@article{Huang2018TheoryOS,
title={Theory of spin Bott index for quantum spin Hall states in nonperiodic systems},
author={Huaqing Huang and Feng Liu},
journal={Physical Review B},
year={2018}
}
• Published 17 September 2018
• Physics
• Physical Review B
Quantum spin Hall effects (QSHE) arising from electron band topology are usually limited to crystals. Here, the authors extend the concept of QSHE to nonperiodic systems. They derive a spin Bott index to characterize the electronic topology in aperiodic and amorphous systems, and confirm its applicability by realizing the QSHE in quasicrystals. As in crystals, the QSHE in quasicrystals manifests with robust metallic edge states and quantized conductance. Their findings not only provide a better… Expand

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