Higher-order topology induced by structural buckling

Huang, Huaqing; Liu, Feng

doi:10.1093/nsr/nwab170

Title: Higher-order topology induced by structural buckling

Journal Article · Thu Sep 09 00:00:00 EDT 2021 · National Science Review

DOI:https://doi.org/10.1093/nsr/nwab170· OSTI ID:1885832

Huang, Huaqing; Liu, Feng

Abstract Higher-order topological insulator (HOTI) states, such as two-dimension (2D) HOTI featured with topologically protected corner modes at the intersection of two gapped crystalline boundaries, have attracted much recent interest. However, the physical mechanism underlying the formation of HOTI states is not fully understood, which has hindered our fundamental understanding and discovery of HOTI materials. Here we propose a mechanistic approach to induce higher-order topological phases via structural buckling of 2D topological crystalline insulators (TCIs). While in-plane mirror symmetry is broken by structural buckling, which destroys the TCI state, the combination of mirror and rotation symmetry is preserved in the buckled system, which gives rise to the HOTI state. We demonstrate that this approach is generally applicable to various 2D lattices with different symmetries and buckling patterns, opening a horizon of possible materials to realize 2D HOTIs. The HOTIs so generated are also shown to be robust against buckling height fluctuation and in-plane displacement. A concrete example is given for the buckled $$\beta $$-Sb monolayer from first-principles calculations. Our finding not only enriches our fundamental understanding of higher-order topology, but also opens a new route to discovering HOTI materials.

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Research Organization:: Univ. of Utah, Salt Lake City, UT (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: FG02-04ER46148; 12074006

OSTI ID:: 1885832

Alternate ID(s):: OSTI ID: 1905818

Journal Information:: National Science Review, Journal Name: National Science Review Vol. 9 Journal Issue: 8; ISSN 2095-5138

Publisher:: Oxford University PressCopyright Statement

Country of Publication:: China

Language:: English

References (48)

Bismuthene on a SiC substrate: A candidate for a high-temperature quantum spin Hall material Reis, F.; Li, G.; Dudy, L. Science, Vol. 357, Issue 6348 https://doi.org/10.1126/science.aai8142	journal	June 2017
Generalized Gradient Approximation Made Simple Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868 https://doi.org/10.1103/PhysRevLett.77.3865	journal	October 1996
Fractional corner charges in spin-orbit coupled crystals Schindler, Frank; Brzezińska, Marta; Benalcazar, Wladimir A. Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/PhysRevResearch.1.033074	journal	November 2019
Topological insulators and superconductors Qi, Xiao-Liang; Zhang, Shou-Cheng Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1057	journal	October 2011
Higher-Order Topological Insulators and Semimetals on the Breathing Kagome and Pyrochlore Lattices Ezawa, Motohiko Physical Review Letters, Vol. 120, Issue 2 https://doi.org/10.1103/PhysRevLett.120.026801	journal	January 2018
Higher-order topological insulators Schindler, Frank; Cook, Ashley M.; Vergniory, Maia G. Science Advances, Vol. 4, Issue 6 https://doi.org/10.1126/sciadv.aat0346	journal	June 2018
Minimal models for Wannier-type higher-order topological insulators and phosphorene Ezawa, Motohiko Physical Review B, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevB.98.045125	journal	July 2018
Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials Ando, Yoichi; Fu, Liang Annual Review of Condensed Matter Physics, Vol. 6, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031214-014501	journal	March 2015
Stabilizing Graphitic Thin Films of Wurtzite Materials by Epitaxial Strain Wu, Dangxin; Lagally, M. G.; Liu, Feng Physical Review Letters, Vol. 107, Issue 23 https://doi.org/10.1103/PhysRevLett.107.236101	journal	November 2011
Epitaxial Growth of Flat Antimonene Monolayer: A New Honeycomb Analogue of Graphene Shao, Yan; Liu, Zhong-Liu; Cheng, Cai Nano Letters, Vol. 18, Issue 3 https://doi.org/10.1021/acs.nanolett.8b00429	journal	February 2018
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C. Science, Vol. 314, Issue 5806, p. 1757-1761 https://doi.org/10.1126/science.1133734	journal	December 2006
Topological Crystalline Insulators Fu, Liang Physical Review Letters, Vol. 106, Issue 10 https://doi.org/10.1103/PhysRevLett.106.106802	journal	March 2011
Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides X Te 2 ( X = Mo , W ) Wang, Zhijun; Wieder, Benjamin J.; Li, Jian Physical Review Letters, Vol. 123, Issue 18 https://doi.org/10.1103/PhysRevLett.123.186401	journal	October 2019
Two-Dimensional Second-Order Topological Insulator in Graphdiyne Sheng, Xian-Lei; Chen, Cong; Liu, Huiying Physical Review Letters, Vol. 123, Issue 25 https://doi.org/10.1103/PhysRevLett.123.256402	journal	December 2019
Mechanical Isolation of Highly Stable Antimonene under Ambient Conditions Ares, Pablo; Aguilar-Galindo, Fernando; Rodríguez-San-Miguel, David Advanced Materials, Vol. 28, Issue 30 https://doi.org/10.1002/adma.201602128	journal	June 2016
Two-dimensional Topological Crystalline Insulator Phase in Sb/Bi Planar Honeycomb with Tunable Dirac Gap Hsu, Chia-Hsiu; Huang, Zhi-Quan; Crisostomo, Christian P. Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep18993	journal	January 2016
Two-dimensional antimonene single crystals grown by van der Waals epitaxy Ji, Jianping; Song, Xiufeng; Liu, Jizi Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13352	journal	November 2016
Stable Nontrivial $Z_{2}$ Topology in Ultrathin Bi (111) Films: A First-Principles Study Liu, Zheng; Liu, Chao-Xing; Wu, Yong-Shi Physical Review Letters, Vol. 107, Issue 13 https://doi.org/10.1103/PhysRevLett.107.136805	journal	September 2011
Two-dimensional higher-order topology in monolayer graphdiyne Lee, Eunwoo; Kim, Rokyeon; Ahn, Junyeong npj Quantum Materials, Vol. 5, Issue 1 https://doi.org/10.1038/s41535-019-0206-8	journal	January 2020
Quantum spin Hall phase in 2D trigonal lattice Wang, Z. F.; Jin, Kyung-Hwan; Liu, Feng Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms12746	journal	September 2016
Buckled honeycomb lattice materials and unconventional magnetic responses Yang, Shengyuan A.; Pan, Hui; Zhang, Fan RSC Advances, Vol. 5, Issue 101 https://doi.org/10.1039/C5RA13699G	journal	January 2015
Topological Switch between Second-Order Topological Insulators and Topological Crystalline Insulators Ezawa, Motohiko Physical Review Letters, Vol. 121, Issue 11 https://doi.org/10.1103/PhysRevLett.121.116801	journal	September 2018
Tuning Dirac states by strain in the topological insulator Bi2Se3 Liu, Y.; Li, Y. Y.; Rajput, S. Nature Physics, Vol. 10, Issue 4 https://doi.org/10.1038/nphys2898	journal	March 2014
Epitaxial Growth and Air-Stability of Monolayer Antimonene on PdTe ₂ Wu, Xu; Shao, Yan; Liu, Hang Advanced Materials, Vol. 29, Issue 11 https://doi.org/10.1002/adma.201605407	journal	December 2016
Buckled two-dimensional Xene sheets Molle, Alessandro; Goldberger, Joshua; Houssa, Michel Nature Materials, Vol. 16, Issue 2 https://doi.org/10.1038/nmat4802	journal	January 2017
Evidence of Topological Edge States in Buckled Antimonene Monolayers Zhu, Shi-Yu; Shao, Yan; Wang, En Nano Letters, Vol. 19, Issue 9 https://doi.org/10.1021/acs.nanolett.9b02444	journal	August 2019
Buckled honeycomb antimony: Higher order topological insulator and its relation to the Kekulé lattice Radha, Santosh Kumar; Lambrecht, Walter R. L. Physical Review B, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevB.102.115104	journal	September 2020
Higher-Order Band Topology in Twisted Moiré Superlattice Liu, Bing; Xian, Lede; Mu, Haimen Physical Review Letters, Vol. 126, Issue 6 https://doi.org/10.1103/PhysRevLett.126.066401	journal	February 2021
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set Kresse, G.; Furthmüller, J. Computational Materials Science, Vol. 6, Issue 1, p. 15-50 https://doi.org/10.1016/0927-0256(96)00008-0	journal	July 1996
Low-energy effective Hamiltonian involving spin-orbit coupling in silicene and two-dimensional germanium and tin Liu, Cheng-Cheng; Jiang, Hua; Yao, Yugui Physical Review B, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevB.84.195430	journal	November 2011
Aperiodic topological crystalline insulators Huang, Huaqing; Wu, Yong-Shi; Liu, Feng Physical Review B, Vol. 101, Issue 4 https://doi.org/10.1103/PhysRevB.101.041103	journal	January 2020
$Z_{2}$ Topological Order and the Quantum Spin Hall Effect Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 95, Issue 14, Article No. 146802 https://doi.org/10.1103/PhysRevLett.95.146802	journal	September 2005
Solitons with fermion number ½ Jackiw, R.; Rebbi, C. Physical Review D, Vol. 13, Issue 12 https://doi.org/10.1103/PhysRevD.13.3398	journal	June 1976
Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Higher-order topology in bismuth Schindler, Frank; Wang, Zhijun; Vergniory, Maia G. Nature Physics, Vol. 14, Issue 9 https://doi.org/10.1038/s41567-018-0224-7	journal	July 2018
Quantum Spin Hall Effect in Graphene Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 95, Issue 22 https://doi.org/10.1103/PhysRevLett.95.226801	journal	November 2005
Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators Benalcazar, Wladimir A.; Bernevig, B. Andrei; Hughes, Taylor L. Physical Review B, Vol. 96, Issue 24 https://doi.org/10.1103/PhysRevB.96.245115	journal	December 2017
Berry’s phase for energy bands in solids Zak, J. Physical Review Letters, Vol. 62, Issue 23 https://doi.org/10.1103/PhysRevLett.62.2747	journal	June 1989
Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface Zhou, Miao; Ming, Wenmei; Liu, Zheng Proceedings of the National Academy of Sciences, Vol. 111, Issue 40 https://doi.org/10.1073/pnas.1409701111	journal	September 2014
Two-Dimensional Quadrupole Topological Insulator in γ-Graphyne Liu, Bing; Zhao, Gan; Liu, Zhao Nano Letters, Vol. 19, Issue 9 https://doi.org/10.1021/acs.nanolett.9b02719	journal	August 2019
Reflection-Symmetric Second-Order Topological Insulators and Superconductors Langbehn, Josias; Peng, Yang; Trifunovic, Luka Physical Review Letters, Vol. 119, Issue 24 https://doi.org/10.1103/PhysRevLett.119.246401	journal	December 2017
$(d - 2)$ -Dimensional Edge States of Rotation Symmetry Protected Topological States Song, Zhida; Fang, Zhong; Fang, Chen Physical Review Letters, Vol. 119, Issue 24 https://doi.org/10.1103/PhysRevLett.119.246402	journal	December 2017
Higher-Order Topology of the Axion Insulator ${EuIn}_{2} {As}_{2}$ Xu, Yuanfeng; Song, Zhida; Wang, Zhijun Physical Review Letters, Vol. 122, Issue 25 https://doi.org/10.1103/PhysRevLett.122.256402	journal	June 2019
Spin-filtered edge states with an electrically tunable gap in a two-dimensional topological crystalline insulator Liu, Junwei; Hsieh, Timothy H.; Wei, Peng Nature Materials, Vol. 13, Issue 2 https://doi.org/10.1038/nmat3828	journal	December 2013
Quantized electric multipole insulators Benalcazar, Wladimir A.; Bernevig, B. Andrei; Hughes, Taylor L. Science, Vol. 357, Issue 6346 https://doi.org/10.1126/science.aah6442	journal	July 2017
Helical Topological Edge States in a Quadrupole Phase Liu, Feng; Deng, Hai-Yao; Wakabayashi, Katsunori Physical Review Letters, Vol. 122, Issue 8 https://doi.org/10.1103/PhysRevLett.122.086804	journal	March 2019
The conflicting role of buckled structure in phonon transport of 2D group-IV and group-V materials Peng, Bo; Zhang, Dequan; Zhang, Hao Nanoscale, Vol. 9, Issue 22 https://doi.org/10.1039/C7NR00838D	journal	January 2017
Higher-Order Topological Insulator in Twisted Bilayer Graphene Park, Moon Jip; Kim, Youngkuk; Cho, Gil Young Physical Review Letters, Vol. 123, Issue 21 https://doi.org/10.1103/PhysRevLett.123.216803	journal	November 2019

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higher-order topological insulators
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Title: Higher-order topology induced by structural buckling

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