Quantum spin Hall phase in 2D trigonal lattice
Abstract
The quantum spin Hall (QSH) phase is an exotic phenomena in condensed-matter physics. Here we show that a minimal basis of three orbitals (s, px, py) is required to produce a QSH phase via nearest-neighbour hopping in a two-dimensional trigonal lattice. Tight-binding model analyses and calculations show that the QSH phase arises from a spin–orbit coupling (SOC)-induced s–p band inversion or p–p bandgap opening at Brillouin zone centre (Γ point), whose topological phase diagram is mapped out in the parameter space of orbital energy and SOC. Remarkably, based on first-principles calculations, this exact model of QSH phase is shown to be realizable in an experimental system of Au/GaAs(111) surface with an SOC gap of ~73 meV, facilitating the possible room-temperature measurement. Finally, our results will extend the search for substrate supported QSH materials to new lattice and orbital types.
- Authors:
-
- Univ. of Science and Technology of China, Anhui (China); Univ. of Utah, Salt Lake City, UT (United States)
- Univ. of Utah, Salt Lake City, UT (United States)
- 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
- OSTI Identifier:
- 1361410
- Grant/Contract Number:
- FG02-04ER46148
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Nature Communications
- Additional Journal Information:
- Journal Volume: 7; Journal ID: ISSN 2041-1723
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; electronic structure; topological insulators
Citation Formats
Wang, Z. F., Jin, Kyung -Hwan, and Liu, Feng. Quantum spin Hall phase in 2D trigonal lattice. United States: N. p., 2016.
Web. doi:10.1038/ncomms12746.
Wang, Z. F., Jin, Kyung -Hwan, & Liu, Feng. Quantum spin Hall phase in 2D trigonal lattice. United States. https://doi.org/10.1038/ncomms12746
Wang, Z. F., Jin, Kyung -Hwan, and Liu, Feng. 2016.
"Quantum spin Hall phase in 2D trigonal lattice". United States. https://doi.org/10.1038/ncomms12746. https://www.osti.gov/servlets/purl/1361410.
@article{osti_1361410,
title = {Quantum spin Hall phase in 2D trigonal lattice},
author = {Wang, Z. F. and Jin, Kyung -Hwan and Liu, Feng},
abstractNote = {The quantum spin Hall (QSH) phase is an exotic phenomena in condensed-matter physics. Here we show that a minimal basis of three orbitals (s, px, py) is required to produce a QSH phase via nearest-neighbour hopping in a two-dimensional trigonal lattice. Tight-binding model analyses and calculations show that the QSH phase arises from a spin–orbit coupling (SOC)-induced s–p band inversion or p–p bandgap opening at Brillouin zone centre (Γ point), whose topological phase diagram is mapped out in the parameter space of orbital energy and SOC. Remarkably, based on first-principles calculations, this exact model of QSH phase is shown to be realizable in an experimental system of Au/GaAs(111) surface with an SOC gap of ~73 meV, facilitating the possible room-temperature measurement. Finally, our results will extend the search for substrate supported QSH materials to new lattice and orbital types.},
doi = {10.1038/ncomms12746},
url = {https://www.osti.gov/biblio/1361410},
journal = {Nature Communications},
issn = {2041-1723},
number = ,
volume = 7,
place = {United States},
year = {Wed Sep 07 00:00:00 EDT 2016},
month = {Wed Sep 07 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Quantum Spin Hall Effect in Graphene
journal, November 2005
- Kane, C. L.; Mele, E. J.
- Physical Review Letters, Vol. 95, Issue 22
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
journal, December 2006
- Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C.
- Science, Vol. 314, Issue 5806, p. 1757-1761
Quantum Spin Hall Insulator State in HgTe Quantum Wells
journal, November 2007
- Konig, M.; Wiedmann, S.; Brune, C.
- Science, Vol. 318, Issue 5851, p. 766-770
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988
- Haldane, F. D. M.
- Physical Review Letters, Vol. 61, Issue 18
Evidence for Helical Edge Modes in Inverted Quantum Wells
journal, September 2011
- Knez, Ivan; Du, Rui-Rui; Sullivan, Gerard
- Physical Review Letters, Vol. 107, Issue 13
Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
journal, December 2006
- Murakami, Shuichi
- Physical Review Letters, Vol. 97, Issue 23
Quantum Spin Hall Effect in Silicene and Two-Dimensional Germanium
journal, August 2011
- Liu, Cheng-Cheng; Feng, Wanxiang; Yao, Yugui
- Physical Review Letters, Vol. 107, Issue 7
Organic topological insulators in organometallic lattices
journal, February 2013
- Wang, Z. F.; Liu, Zheng; Liu, Feng
- Nature Communications, Vol. 4, Issue 1
Prediction of a Two-Dimensional Organic Topological Insulator
journal, May 2013
- Wang, Z. F.; Su, Ninghai; Liu, Feng
- Nano Letters, Vol. 13, Issue 6, p. 2842-2845
Proximity-induced giant spin-orbit interaction in epitaxial graphene on a topological insulator
journal, February 2013
- Jin, Kyung-Hwan; Jhi, Seung-Hoon
- Physical Review B, Vol. 87, Issue 7
Large-Gap Quantum Spin Hall Insulators in Tin Films
journal, September 2013
- Xu, Yong; Yan, Binghai; Zhang, Hai-Jun
- Physical Review Letters, Vol. 111, Issue 13
Prediction of Large-Gap Two-Dimensional Topological Insulators Consisting of Bilayers of Group III Elements with Bi
journal, April 2014
- Chuang, Feng-Chuan; Yao, Liang-Zi; Huang, Zhi-Quan
- Nano Letters, Vol. 14, Issue 5
Functionalized germanene as a prototype of large-gap two-dimensional topological insulators
journal, March 2014
- Si, Chen; Liu, Junwei; Xu, Yong
- Physical Review B, Vol. 89, Issue 11
Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface
journal, September 2014
- Zhou, Miao; Ming, Wenmei; Liu, Zheng
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 40
Formation of quantum spin Hall state on Si surface and energy gap scaling with strength of spin orbit coupling
journal, November 2014
- Zhou, Miao; Ming, Wenmei; Liu, Zheng
- Scientific Reports, Vol. 4, Issue 1
The nontrivial electronic structure of Bi/Sb honeycombs on SiC(0001)
journal, February 2015
- Hsu, Chia-Hsiu; Huang, Zhi-Quan; Chuang, Feng-Chuan
- New Journal of Physics, Vol. 17, Issue 2
Robust Large Gap Two-Dimensional Topological Insulators in Hydrogenated III–V Buckled Honeycombs
journal, September 2015
- Crisostomo, Christian P.; Yao, Liang-Zi; Huang, Zhi-Quan
- Nano Letters, Vol. 15, Issue 10
Large-gap quantum spin Hall states in decorated stanene grown on a substrate
journal, August 2015
- Xu, Yong; Tang, Peizhe; Zhang, Shou-Cheng
- Physical Review B, Vol. 92, Issue 8
Topological phases in two-dimensional materials: a review
journal, May 2016
- Ren, Yafei; Qiao, Zhenhua; Niu, Qian
- Reports on Progress in Physics, Vol. 79, Issue 6
Robust Two-Dimensional Topological Insulators in Methyl-Functionalized Bismuth, Antimony, and Lead Bilayer Films
journal, January 2015
- Ma, Yandong; Dai, Ying; Kou, Liangzhi
- Nano Letters, Vol. 15, Issue 2
Strain-driven band inversion and topological aspects in Antimonene
journal, November 2015
- Zhao, Mingwen; Zhang, Xiaoming; Li, Linyang
- Scientific Reports, Vol. 5, Issue 1
Quantum anomalous Hall effect and related topological electronic states
journal, May 2015
- Weng, Hongming; Yu, Rui; Hu, Xiao
- Advances in Physics, Vol. 64, Issue 3
Au wetting and nanoparticle stability on GaAs(111)B
journal, December 2006
- Hilner, E.; Mikkelsen, A.; Eriksson, J.
- Applied Physics Letters, Vol. 89, Issue 25
Stable Nontrivial Topology in Ultrathin Bi (111) Films: A First-Principles Study
journal, September 2011
- Liu, Zheng; Liu, Chao-Xing; Wu, Yong-Shi
- Physical Review Letters, Vol. 107, Issue 13
Topological states of non-Dirac electrons on a triangular lattice
journal, January 2016
- Liang, Qi-Feng; Yu, Rui; Zhou, Jian
- Physical Review B, Vol. 93, Issue 3
Topological field theory of time-reversal invariant insulators
journal, November 2008
- Qi, Xiao-Liang; Hughes, Taylor L.; Zhang, Shou-Cheng
- Physical Review B, Vol. 78, Issue 19, Article No. 195424
Graphene: Kagome Band in a Hexagonal Lattice
journal, December 2014
- Zhou, Miao; Liu, Zheng; Ming, Wenmei
- Physical Review Letters, Vol. 113, Issue 23
A Strategy to Create Spin-Split Metallic Bands on Silicon Using a Dense Alloy Layer
journal, April 2014
- Gruznev, Dimitry V.; Bondarenko, Leonid V.; Matetskiy, Andrey V.
- Scientific Reports, Vol. 4, Issue 1
Selective doping in a surface band and atomic structures of the Ge(111) $(\sqrt{3}\times \sqrt{3})\mathrm{R}3 0^{\circ}$–Au surface
journal, December 2012
- Nakatsuji, Kan; Motomura, Yuya; Niikura, Ryota
- Journal of Physics: Condensed Matter, Vol. 25, Issue 4
wannier90: A tool for obtaining maximally-localised Wannier functions
journal, May 2008
- Mostofi, Arash A.; Yates, Jonathan R.; Lee, Young-Su
- Computer Physics Communications, Vol. 178, Issue 9
Tuning Topological Edge States of Bi(111) Bilayer Film by Edge Adsorption
journal, April 2014
- Wang, Z. F.; Chen, Li; Liu, Feng
- Nano Letters, Vol. 14, Issue 5
Observation of a universal donor-dependent vibrational mode in graphene
journal, February 2014
- Fedorov, A. V.; Verbitskiy, N. I.; Haberer, D.
- Nature Communications, Vol. 5, Issue 1
High-temperature superconductivity in potassium-coated multilayer FeSe thin films
journal, June 2015
- Miyata, Y.; Nakayama, K.; Sugawara, K.
- Nature Materials, Vol. 14, Issue 8
One-dimensional topological edge states of bismuth bilayers
journal, August 2014
- Drozdov, Ilya K.; Alexandradinata, A.; Jeon, Sangjun
- Nature Physics, Vol. 10, Issue 9
Topological edge states in a high-temperature superconductor FeSe/SrTiO3(001) film
journal, July 2016
- Wang, Z. F.; Zhang, Huimin; Liu, Defa
- Nature Materials, Vol. 15, Issue 9
Spin-polarized quantum well states on
journal, April 2015
- Yee, Michael M.; Zhu, Z. -H.; Soumyanarayanan, Anjan
- Physical Review B, Vol. 91, Issue 16
Ab initiomolecular dynamics for liquid metals
journal, January 1993
- Kresse, G.; Hafner, J.
- Physical Review B, Vol. 47, Issue 1, p. 558-561
Robust Large Gap Two-Dimensional Topological Insulators in Hydrogenated III–V Buckled Honeycombs
journal, September 2015
- Crisostomo, Christian P.; Yao, Liang-Zi; Huang, Zhi-Quan
- Nano Letters, Vol. 15, Issue 10
Prediction of Large-Gap Two-Dimensional Topological Insulators Consisting of Bilayers of Group III Elements with Bi
journal, April 2014
- Chuang, Feng-Chuan; Yao, Liang-Zi; Huang, Zhi-Quan
- Nano Letters, Vol. 14, Issue 5
Observation of a universal donor-dependent vibrational mode in graphene
journal, February 2014
- Fedorov, A. V.; Verbitskiy, N. I.; Haberer, D.
- Nature Communications, Vol. 5, Issue 1
High-temperature superconductivity in potassium-coated multilayer FeSe thin films
journal, June 2015
- Miyata, Y.; Nakayama, K.; Sugawara, K.
- Nature Materials, Vol. 14, Issue 8
A Strategy to Create Spin-Split Metallic Bands on Silicon Using a Dense Alloy Layer
journal, April 2014
- Gruznev, Dimitry V.; Bondarenko, Leonid V.; Matetskiy, Andrey V.
- Scientific Reports, Vol. 4, Issue 1
Formation of quantum spin Hall state on Si surface and energy gap scaling with strength of spin orbit coupling
journal, November 2014
- Zhou, Miao; Ming, Wenmei; Liu, Zheng
- Scientific Reports, Vol. 4, Issue 1
Strain-driven band inversion and topological aspects in Antimonene
journal, November 2015
- Zhao, Mingwen; Zhang, Xiaoming; Li, Linyang
- Scientific Reports, Vol. 5, Issue 1
Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface
journal, September 2014
- Zhou, Miao; Ming, Wenmei; Liu, Zheng
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 40
Topological phases in two-dimensional materials: a review
journal, May 2016
- Ren, Yafei; Qiao, Zhenhua; Niu, Qian
- Reports on Progress in Physics, Vol. 79, Issue 6
Spatial and Energy Distribution of Topological Edge States in Single Bi(111) Bilayer
journal, July 2012
- Yang, Fang; Miao, Lin; Wang, Z. F.
- Physical Review Letters, Vol. 109, Issue 1
Self-Assembled Si(111) Surface States: 2D Dirac Material for THz Plasmonics
journal, July 2015
- Wang, Z. F.; Liu, Feng
- Physical Review Letters, Vol. 115, Issue 2
Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
text, January 2011
- Knez, Ivan; Du, Rui-Rui; Sullivan, Gerard
- arXiv
Organic Topological Insulators in Organometallic Lattices
text, January 2013
- Wang, Z. F.; Liu, Zheng; Liu, Feng
- arXiv
Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
text, January 2006
- Murakami, Shuichi
- arXiv
Works referencing / citing this record:
Quantum Spin Hall Materials
journal, July 2019
- Cao, Chuanwu; Chen, Jian‐Hao
- Advanced Quantum Technologies, Vol. 2, Issue 10
Computational design of two-dimensional topological materials: Two-dimensional topological materials
journal, March 2017
- Wang, Z. F.; Jin, Kyung-Hwan; Liu, Feng
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 7, Issue 4
Formation of a large gap quantum spin Hall phase in a 2D trigonal lattice with three p-orbitals
journal, January 2018
- Li, Chong; Jin, Kyung-Hwan; Zhang, Shuai
- Nanoscale, Vol. 10, Issue 12
Oxygen-functionalized TlTe buckled honeycomb from first-principles study
journal, January 2019
- Lu, Qing; Wen, Yi-Ming; Zeng, Zhao-Yi
- Physical Chemistry Chemical Physics, Vol. 21, Issue 10
Fully spin-polarized quadratic non-Dirac bands realized quantum anomalous Hall effect
journal, January 2020
- Li, Ping; Cai, Tian-Yi
- Physical Chemistry Chemical Physics, Vol. 22, Issue 2
Topological phase transition induced by p x,y and p z band inversion in a honeycomb lattice
journal, January 2019
- Zhang, Huisheng; Ning, Yaohui; Yang, Wenjia
- Nanoscale, Vol. 11, Issue 29
Orbital design of topological insulators from two-dimensional semiconductors
journal, January 2019
- Gao, Lei; Sun, Jia-Tao; Sethi, Gurjyot
- Nanoscale, Vol. 11, Issue 47
Robust large gap quantum spin Hall insulators in methyl and ethynyl functionalized TlSb buckled honeycombs
journal, July 2018
- Lu, Qing; Ran, Ran; Cheng, Yan
- Journal of Applied Physics, Vol. 124, Issue 3
Prediction of intrinsic two-dimensional non-Dirac topological insulators in triangular metal-organic frameworks
journal, January 2019
- Zhang, Jiayong; Zhao, Bao; Ma, Chunlan
- Applied Physics Letters, Vol. 114, Issue 4
Surface alloy engineering in 2D trigonal lattice: giant Rashba spin splitting and two large topological gaps
journal, February 2018
- Liu, Zhao; Jin, Yingdi; Yang, Yuchen
- New Journal of Physics, Vol. 20, Issue 2
Comparison of quantum spin Hall states in quasicrystals and crystals
journal, August 2019
- Huang, Huaqing; Liu, Feng
- Physical Review B, Vol. 100, Issue 8
Kagome bands disguised in a coloring-triangle lattice
journal, March 2019
- Zhang, Shunhong; Kang, Meng; Huang, Huaqing
- Physical Review B, Vol. 99, Issue 10
Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
journal, September 2018
- Huang, Huaqing; Liu, Feng
- Physical Review Letters, Vol. 121, Issue 12
Hourglass Fermion in Two-Dimensional Material
journal, September 2019
- Wang, Z. F.; Liu, Bing; Zhu, Wei
- Physical Review Letters, Vol. 123, Issue 12
Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
text, January 2018
- Huang, Huaqing; Liu, Feng
- arXiv
Fully spin-polarized quadratic non-Dirac bands realized quantum anomalous Hall effect
text, January 2019
- Li, Ping; Cai, Tian-Yi
- arXiv