Formation of a large gap quantum spin Hall phase in a 2D trigonal lattice with three p-orbitals

Li, Chong; Jin, Kyung-Hwan; Zhang, Shuai; Wang, Fei; Jia, Yu; Liu, Feng

doi:10.1039/c7nr09067f

Title: Formation of a large gap quantum spin Hall phase in a 2D trigonal lattice with three p-orbitals

Journal Article · Mon Jan 01 00:00:00 EST 2018 · Nanoscale

DOI:https://doi.org/10.1039/c7nr09067f· OSTI ID:1539950

Li, Chong ^[1];

^[2]; Zhang, Shuai ^[1]; Wang, Fei ^[1]; Jia, Yu ^[1]; Liu, Feng ^[3]

International Joint Research Laboratory for Quantum Functional Materials of Henan and School of physics and engineering; Zhengzhou University; Zhengzhou 450001; China
Department of Materials Science and Engineering; University of Utah; Salt Lake City; USA
Department of Materials Science and Engineering; University of Utah; Salt Lake City; USA; Collaborative Innovation Center of Quantum Matter

The quantum spin Hall (QSH) phase in a trigonal lattice requires typically a minimal basis of three orbitals with one even parity s and two odd parity p orbitals.

Cite

Export

Save

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

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-04ER46148

OSTI ID:: 1539950

Journal Information:: Nanoscale, Vol. 10, Issue 12; ISSN 2040-3364

Publisher:: Royal Society of Chemistry

Country of Publication:: United States

Language:: English

References (49)

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
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" Haldane, F. D. M. Physical Review Letters, Vol. 61, Issue 18 https://doi.org/10.1103/PhysRevLett.61.2015	journal	October 1988
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
Quantum Spin Hall Insulator State in HgTe Quantum Wells Konig, M.; Wiedmann, S.; Brune, C. Science, Vol. 318, Issue 5851, p. 766-770 https://doi.org/10.1126/science.1148047	journal	November 2007
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
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
Topological insulators in Bi₂Se₃, Bi₂Te₃ and Sb₂Te₃ with a single Dirac cone on the surface Zhang, Haijun; Liu, Chao-Xing; Qi, Xiao-Liang Nature Physics, Vol. 5, Issue 6, p. 438-442 https://doi.org/10.1038/nphys1270	journal	May 2009
Experimental Realization of a Three-Dimensional Topological Insulator, Bi₂Te₃ Chen, Y. L.; Analytis, J. G.; Chu, J.-H. Science, Vol. 325, Issue 5937, p. 178-181 https://doi.org/10.1126/science.1173034	journal	June 2009
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface Xia, Y.; Qian, D.; Hsieh, D. Nature Physics, Vol. 5, Issue 6, p. 398-402 https://doi.org/10.1038/nphys1274	journal	May 2009
Evidence for Helical Edge Modes in Inverted $InAs / GaSb$ Quantum Wells Knez, Ivan; Du, Rui-Rui; Sullivan, Gerard Physical Review Letters, Vol. 107, Issue 13 https://doi.org/10.1103/PhysRevLett.107.136603	journal	September 2011
Spatial and Energy Distribution of Topological Edge States in Single Bi(111) Bilayer Yang, Fang; Miao, Lin; Wang, Z. F. Physical Review Letters, Vol. 109, Issue 1 https://doi.org/10.1103/PhysRevLett.109.016801	journal	July 2012
Atomic and Electronic Structure of Ultrathin Bi(111) Films Grown on ${Bi}_{2} {Te}_{3} (111)$ Substrates: Evidence for a Strain-Induced Topological Phase Transition Hirahara, T.; Fukui, N.; Shirasawa, T. Physical Review Letters, Vol. 109, Issue 22 https://doi.org/10.1103/PhysRevLett.109.227401	journal	November 2012
Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling Murakami, Shuichi Physical Review Letters, Vol. 97, Issue 23 https://doi.org/10.1103/PhysRevLett.97.236805	journal	December 2006
Quantum Spin Hall Effect in Silicene and Two-Dimensional Germanium Liu, Cheng-Cheng; Feng, Wanxiang; Yao, Yugui Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.076802	journal	August 2011
Proximity-induced giant spin-orbit interaction in epitaxial graphene on a topological insulator Jin, Kyung-Hwan; Jhi, Seung-Hoon Physical Review B, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevB.87.075442	journal	February 2013
Large-Gap Quantum Spin Hall Insulators in Tin Films Xu, Yong; Yan, Binghai; Zhang, Hai-Jun Physical Review Letters, Vol. 111, Issue 13 https://doi.org/10.1103/PhysRevLett.111.136804	journal	September 2013
Prediction of Large-Gap Two-Dimensional Topological Insulators Consisting of Bilayers of Group III Elements with Bi Chuang, Feng-Chuan; Yao, Liang-Zi; Huang, Zhi-Quan Nano Letters, Vol. 14, Issue 5 https://doi.org/10.1021/nl500206u	journal	April 2014
Prediction of a Two-Dimensional Organic Topological Insulator Wang, Z. F.; Su, Ninghai; Liu, Feng Nano Letters, Vol. 13, Issue 6, p. 2842-2845 https://doi.org/10.1021/nl401147u	journal	May 2013
Finite conductivity in mesoscopic Hall bars of inverted InAs/GaSb quantum wells Knez, Ivan; Du, R. R.; Sullivan, Gerard Physical Review B, Vol. 81, Issue 20 https://doi.org/10.1103/PhysRevB.81.201301	journal	May 2010
Large-gap quantum spin Hall states in decorated stanene grown on a substrate Xu, Yong; Tang, Peizhe; Zhang, Shou-Cheng Physical Review B, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevB.92.081112	journal	August 2015
Topological phases in two-dimensional materials: a review Ren, Yafei; Qiao, Zhenhua; Niu, Qian Reports on Progress in Physics, Vol. 79, Issue 6 https://doi.org/10.1088/0034-4885/79/6/066501	journal	May 2016
Quantum anomalous Hall effect and related topological electronic states Weng, Hongming; Yu, Rui; Hu, Xiao Advances in Physics, Vol. 64, Issue 3 https://doi.org/10.1080/00018732.2015.1068524	journal	May 2015
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
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
$s d^{2}$ Graphene: Kagome Band in a Hexagonal Lattice Zhou, Miao; Liu, Zheng; Ming, Wenmei Physical Review Letters, Vol. 113, Issue 23 https://doi.org/10.1103/PhysRevLett.113.236802	journal	December 2014
Formation of quantum spin Hall state on Si surface and energy gap scaling with strength of spin orbit coupling Zhou, Miao; Ming, Wenmei; Liu, Zheng Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep07102	journal	November 2014
The nontrivial electronic structure of Bi/Sb honeycombs on SiC(0001) Hsu, Chia-Hsiu; Huang, Zhi-Quan; Chuang, Feng-Chuan New Journal of Physics, Vol. 17, Issue 2 https://doi.org/10.1088/1367-2630/17/2/025005	journal	February 2015
Formation of a quantum spin Hall state on a Ge(111) surface Li, Ping; Zhou, Miao; Zhang, Lizhi Nanotechnology, Vol. 27, Issue 9 https://doi.org/10.1088/0957-4484/27/9/095703	journal	January 2016
Computational design of two-dimensional topological materials: Two-dimensional topological materials Wang, Z. F.; Jin, Kyung-Hwan; Liu, Feng Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 7, Issue 4 https://doi.org/10.1002/wcms.1304	journal	March 2017
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
Interface orbital engineering of large-gap topological states: Decorating gold on a Si(111) surface Huang, Bing; Jin, Kyung-Hwan; Zhuang, Houlong L. Physical Review B, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevB.93.115117	journal	March 2016
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
Erratum: “Hybrid functionals based on a screened Coulomb potential” [J. Chem. Phys. 118, 8207 (2003)] Heyd, Jochen; Scuseria, Gustavo E.; Ernzerhof, Matthias The Journal of Chemical Physics, Vol. 124, Issue 21 https://doi.org/10.1063/1.2204597	journal	June 2006
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set Kresse, G.; Furthmüller, J. Physical Review B, Vol. 54, Issue 16, p. 11169-11186 https://doi.org/10.1103/PhysRevB.54.11169	journal	October 1996
Projector augmented-wave method Blöchl, P. E. Physical Review B, Vol. 50, Issue 24, p. 17953-17979 https://doi.org/10.1103/PhysRevB.50.17953	journal	December 1994
Asymmetric structure of the Si(111)-×-Ag surface Aizawa, H.; Tsukada, M.; Sato, N. Surface Science, Vol. 429, Issue 1-3 https://doi.org/10.1016/S0039-6028(99)00424-0	journal	June 1999
√21× √21 phase formed by Na adsorption on Si(111)√3× √3-Ag and its electronic structure Konishi, Mitsuru; Matsuda, Iwao; Liu, Canhua e-Journal of Surface Science and Nanotechnology, Vol. 3 https://doi.org/10.1380/ejssnt.2005.107	journal	January 2005
Adatom-induced variations of the atomic and electronic structures of $Si (111) \sqrt{3} \times \sqrt{3} − Ag$ : A first-principles study Jeong, Hojin; Yeom, Han Woong; Jeong, Sukmin Physical Review B, Vol. 77, Issue 23 https://doi.org/10.1103/PhysRevB.77.235425	journal	June 2008
Interaction between Adatom-Induced Localized States and a Quasi-Two-Dimensional Electron Gas Liu, Canhua; Matsuda, Iwao; Hobara, Rei Physical Review Letters, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevLett.96.036803	journal	January 2006
Adatom-dependent diffusion mechanisms on a $Ag / Si (111) \sqrt{3} \times \sqrt{3}$ surface Jeong, Sukmin; Jeong, Hojin Physical Review B, Vol. 81, Issue 19 https://doi.org/10.1103/PhysRevB.81.195429	journal	May 2010
Change of Electronic Structures by Dopant-Induced Local Strain Hyeong Kim, Gyu; Jeong, Sukmin Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep11227	journal	June 2015
Fermi-level pinning and surface-state band structure of the Si(111)-(√3×√3) R 30°-Ag surface Johansson, L. S. O.; Landemark, E.; Karlsson, C. J. Physical Review Letters, Vol. 63, Issue 19 https://doi.org/10.1103/PhysRevLett.63.2092	journal	November 1989
Topological states of non-Dirac electrons on a triangular lattice Liang, Qi-Feng; Yu, Rui; Zhou, Jian Physical Review B, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevB.93.035135	journal	January 2016
wannier90: A tool for obtaining maximally-localised Wannier functions Mostofi, Arash A.; Yates, Jonathan R.; Lee, Young-Su Computer Physics Communications, Vol. 178, Issue 9 https://doi.org/10.1016/j.cpc.2007.11.016	journal	May 2008
Topological edge states in a high-temperature superconductor FeSe/SrTiO3(001) film Wang, Z. F.; Zhang, Huimin; Liu, Defa Nature Materials, Vol. 15, Issue 9 https://doi.org/10.1038/nmat4686	journal	July 2016
Observation of a universal donor-dependent vibrational mode in graphene Fedorov, A. V.; Verbitskiy, N. I.; Haberer, D. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4257	journal	February 2014
High-temperature superconductivity in potassium-coated multilayer FeSe thin films Miyata, Y.; Nakayama, K.; Sugawara, K. Nature Materials, Vol. 14, Issue 8 https://doi.org/10.1038/nmat4302	journal	June 2015
Odd-Parity Topological Superconductors: Theory and Application to ${Cu}_{x} {Bi}_{2} {Se}_{3}$ Fu, Liang; Berg, Erez Physical Review Letters, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevLett.105.097001	journal	August 2010
Prediction of two-dimensional topological insulator by forming a surface alloy on Au/Si(111) substrate Chuang, Feng-Chuan; Hsu, Chia-Hsiu; Chou, Hsin-Lei Physical Review B, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevB.93.035429	journal	January 2016

Similar Records

Quantum spin Hall phase in 2D trigonal lattice

Journal Article · Wed Sep 07 00:00:00 EDT 2016 · Nature Communications · OSTI ID:1539950

Wang, Z. F.; Jin, Kyung -Hwan; Liu, Feng

Formation of quantum spin Hall state on Si surface and energy gap scaling with strength of spin orbit coupling

Journal Article · Wed Nov 19 00:00:00 EST 2014 · Scientific Reports · OSTI ID:1539950

Zhou, Miao; Ming, Wenmei; Liu, Zheng; +3 more

Topology-induced phase transitions in quantum spin Hall lattices

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. A · OSTI ID:1539950

Bercioux, D; Goldman, N; Urban, D F

Related Subjects

Chemistry
Science & Technology - Other Topics
Materials Science
Physics

Title: Formation of a large gap quantum spin Hall phase in a 2D trigonal lattice with three p-orbitals

Citation Formats

References (49)

Similar Records

Related Subjects