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Title: Comparison of quantum spin Hall states in quasicrystals and crystals

Abstract

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.

Authors:
ORCiD logo [1];  [2]
  1. Univ. of Utah, Salt Lake City, UT (United States)
  2. Univ. of Utah, Salt Lake City, UT (United States); Collaborative Innovation Center of Quantum Matter, Beijing (China)
Publication Date:
Research Org.:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1548255
Alternate Identifier(s):
OSTI ID: 1550595
Grant/Contract Number:  
FG02-04ER46148
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 8; Related Information: https://journals.aps.org/prb/supplemental/10.1103/PhysRevB.100.085119/sup_mat_qshAB_0411.pdf; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Quantum spin Hall effect; Quasicrystal

Citation Formats

Huang, Huaqing, and Liu, Feng. Comparison of quantum spin Hall states in quasicrystals and crystals. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.100.085119.
Huang, Huaqing, & Liu, Feng. Comparison of quantum spin Hall states in quasicrystals and crystals. United States. doi:10.1103/PhysRevB.100.085119.
Huang, Huaqing, and Liu, Feng. Thu . "Comparison of quantum spin Hall states in quasicrystals and crystals". United States. doi:10.1103/PhysRevB.100.085119.
@article{osti_1548255,
title = {Comparison of quantum spin Hall states in quasicrystals and crystals},
author = {Huang, Huaqing and Liu, Feng},
abstractNote = {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.},
doi = {10.1103/PhysRevB.100.085119},
journal = {Physical Review B},
number = 8,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

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Works referenced in this record:

Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
journal, November 1984


Quasicrystals: A New Class of Ordered Structures
journal, December 1984


Colloquium: Topological insulators
journal, November 2010