Comparison of quantum spin Hall states in quasicrystals and crystals
We theoretically review the quantum spin Hall states in an Ammann-Beenker-type octagonal quasicrystal and a periodic snub-square crystal, both sharing the same basic building blocks. While the bulk states show significant differences in localization and transport properties, the topological phases manifest similarly in the two systems. This suggests the robustness of the topological properties regardless of symmetry and periodicity. We characterize the topological nature of the two systems with a nonzero topological invariant (spin Bott index Bs and Z2 invariant), robust metallic edge states, and quantized conductance. In spite of some quantitative differences, the topological phase diagram of the two systems also exhibits similar behaviors, indicating that the topological phase transition is mainly determined by similar interactions in the two systems regardless of their structural difference. This is also reflected by the observation that the transition point between the normal insulator and the quantum spin Hall state in both systems follows a universal linear scaling relation for topological phase transitions.
- Research Organization:
- Univ. of Utah, Salt Lake City, UT (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
- Grant/Contract Number:
- FG02-04ER46148
- OSTI ID:
- 1548255
- Alternate ID(s):
- OSTI ID: 1550595
- Journal Information:
- Physical Review B, Vol. 100, Issue 8; Related Information: https://journals.aps.org/prb/supplemental/10.1103/PhysRevB.100.085119/sup_mat_qshAB_0411.pdf; ISSN 2469-9950
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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