Bulk-boundary correspondence in disordered higher-order topological insulators

  title={Bulk-boundary correspondence in disordered higher-order topological insulators},
  author={Yu-Song Hu and Yue Ding and Jie Zhang and Zhi-Qiang Zhang and Chui-zhen Chen},
In this work, we study the disorder effects on the bulk-boundary correspondence of twodimensional higher-order topological insulators (HOTIs). We concentrate on two cases: (i) bulkcorner correspondence, (ii) edge-corner correspondence. For the bulk-corner correspondence case, we demonstrate the existence of the mobility gaps and clarify the related topological invariant that characterizes the mobility gap. Furthermore, we find that, while the system preserves the bulkcorner correspondence in… Expand
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