Engineering Corner States from Two-Dimensional Topological Insulators
Abstract
We theoretically demonstrate that the second-order topological insulator with robust corner states can be realized in two-dimensional $$\mathbb{Z}_2$$ topological insulators by applying an in-plane Zeeman field. The Zeeman field breaks the time-reversal symmetry and thus destroys the $$\mathbb{Z}_2$$ topological phase. Nevertheless, it respects some crystalline symmetries and thus can protect the higher-order topological phase. By taking the Kane-Mele model as a concrete example, we find that spin-helical edge states along zigzag boundaries are gapped out by the Zeeman field whereas the in-gap corner state at the intersection between two zigzag edges arises, which is independent of the field orientation. In this work, we further show that the corner states are robust against the out-of-plane Zeeman field, staggered sublattice potentials, Rashba spin-orbit coupling, and the buckling of honeycomb lattices, making them experimentally feasible. Similar behaviors can also be found in the well-known Bernevig-Hughes-Zhang model.
- Authors:
-
[1];
[2];
- University of Science and Technology of China, Hefei (China); Univ. of Texas, Austin, TX (United States)
- University of Science and Technology of China, Hefei (China)
- Univ. of Texas, Austin, TX (United States)
- Publication Date:
- Research Org.:
- Univ. of Texas, Austin, TX (United States)
- Sponsoring Org.:
- National Natural Science Foundation of China (NSFC); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
- OSTI Identifier:
- 1800991
- Grant/Contract Number:
- FG03-02ER45958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 124; Journal Issue: 16; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Physics
Citation Formats
Ren, Yafei, Qiao, Zhenhua, and Niu, Qian. Engineering Corner States from Two-Dimensional Topological Insulators. United States: N. p., 2020.
Web. doi:10.1103/physrevlett.124.166804.
Ren, Yafei, Qiao, Zhenhua, & Niu, Qian. Engineering Corner States from Two-Dimensional Topological Insulators. United States. https://doi.org/10.1103/physrevlett.124.166804
Ren, Yafei, Qiao, Zhenhua, and Niu, Qian. Fri .
"Engineering Corner States from Two-Dimensional Topological Insulators". United States. https://doi.org/10.1103/physrevlett.124.166804. https://www.osti.gov/servlets/purl/1800991.
@article{osti_1800991,
title = {Engineering Corner States from Two-Dimensional Topological Insulators},
author = {Ren, Yafei and Qiao, Zhenhua and Niu, Qian},
abstractNote = {We theoretically demonstrate that the second-order topological insulator with robust corner states can be realized in two-dimensional $\mathbb{Z}_2$ topological insulators by applying an in-plane Zeeman field. The Zeeman field breaks the time-reversal symmetry and thus destroys the $\mathbb{Z}_2$ topological phase. Nevertheless, it respects some crystalline symmetries and thus can protect the higher-order topological phase. By taking the Kane-Mele model as a concrete example, we find that spin-helical edge states along zigzag boundaries are gapped out by the Zeeman field whereas the in-gap corner state at the intersection between two zigzag edges arises, which is independent of the field orientation. In this work, we further show that the corner states are robust against the out-of-plane Zeeman field, staggered sublattice potentials, Rashba spin-orbit coupling, and the buckling of honeycomb lattices, making them experimentally feasible. Similar behaviors can also be found in the well-known Bernevig-Hughes-Zhang model.},
doi = {10.1103/physrevlett.124.166804},
journal = {Physical Review Letters},
number = 16,
volume = 124,
place = {United States},
year = {Fri Apr 24 00:00:00 EDT 2020},
month = {Fri Apr 24 00:00:00 EDT 2020}
}
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