DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Evidence of a room-temperature quantum spin Hall edge state in a higher-order topological insulator

Abstract

Room-temperature realization of macroscopic quantum phases is one of the major pursuits in fundamental physics. The quantum spin Hall phase is a topological quantum phase that features a two-dimensional insulating bulk and a helical edge state. Here we use vector magnetic field and variable temperature based scanning tunnelling microscopy to provide micro-spectroscopic evidence for a room-temperature quantum spin Hall edge state on the surface of the higher-order topological insulator Bi4Br4. Here, we find that the atomically resolved lattice exhibits a large insulating gap of over 200 meV, and an atomically sharp monolayer step edge hosts an in-gap gapless state, suggesting topological bulk–boundary correspondence. An external magnetic field can gap the edge state, consistent with the time-reversal symmetry protection inherent in the underlying band topology. We further identify the geometrical hybridization of such edge states, which not only supports the Z2 topology of the quantum spin Hall state but also visualizes the building blocks of the higher-order topological insulator phase. Our results further encourage the exploration of high-temperature transport quantization of the putative topological phase reported here.

Authors:
 [1];  [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]; ORCiD logo [3];  [2];  [2];  [1]; ORCiD logo [1];  [4];  [1];  [1];  [1];  [1]; ORCiD logo [1];  [5];  [6]; ORCiD logo [7];  [8] more »; ORCiD logo [8]; ORCiD logo [9]; ORCiD logo [1]; ORCiD logo [5]; ORCiD logo [10]; ORCiD logo [2]; ORCiD logo [11] « less
  1. Princeton Univ., NJ (United States)
  2. Beijing Inst. of Technology (China)
  3. Univ. of Texas at Dallas, Richardson, TX (United States); Seoul National Univ. (Korea)
  4. National Taiwan Univ., Taipei (Taiwan)
  5. National High Magnetic Field Lab., Tallahassee, FL (United States)
  6. National Cheng Kung Univ., Tainan (Taiwan); Center for Quantum Frontiers of Research and Technology (QFort), Tainan (Taiwan); National Center for Theoretical Sciences, Taipei (Taiwan)
  7. Univ. of Zürich (Switzerland)
  8. Peking Univ., Beijing (China); Univ. of Chinese Academy of Sciences, Beijing (China); Beijing Academy of Quantum Information Sciences (China)
  9. Academia Sinica, Taipei (Taiwan)
  10. Univ. of Texas at Dallas, Richardson, TX (United States)
  11. Princeton Univ., NJ (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Quantum Science Center, Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. (MagLab)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); US Army Research Office (ARO); National Science Foundation of China (NSFC)
OSTI Identifier:
1877193
Grant/Contract Number:  
SC0002613; FG02-05ER46200; DMR-1921581; DMR-1945351; DMR-2105139; W911NF-18-1-0416; 92065109; 11734003; 12061131002
Resource Type:
Accepted Manuscript
Journal Name:
Nature Materials
Additional Journal Information:
Journal Volume: 21; Journal ID: ISSN 1476-1122
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
77 NANOSCIENCE AND NANOTECHNOLOGY; higher order topological insulator; scanning tunneling microscopy; edge states

Citation Formats

Shumiya, Nana, Hossain, Md Shafayat, Yin, Jia-Xin, Wang, Zhiwei, Litskevich, Maksim, Yoon, Chiho, Li, Yongkai, Yang, Ying, Jiang, Yu-Xiao, Cheng, Guangming, Lin, Yen-Chuan, Zhang, Qi, Cheng, Zi-Jia, Cochran, Tyler A., Multer, Daniel, Yang, Xian P., Casas, Brian, Chang, Tay-Rong, Neupert, Titus, Yuan, Zhujun, Jia, Shuang, Lin, Hsin, Yao, Nan, Balicas, Luis, Zhang, Fan, Yao, Yugui, and Hasan, M. Zahid. Evidence of a room-temperature quantum spin Hall edge state in a higher-order topological insulator. United States: N. p., 2022. Web. doi:10.1038/s41563-022-01304-3.
Shumiya, Nana, Hossain, Md Shafayat, Yin, Jia-Xin, Wang, Zhiwei, Litskevich, Maksim, Yoon, Chiho, Li, Yongkai, Yang, Ying, Jiang, Yu-Xiao, Cheng, Guangming, Lin, Yen-Chuan, Zhang, Qi, Cheng, Zi-Jia, Cochran, Tyler A., Multer, Daniel, Yang, Xian P., Casas, Brian, Chang, Tay-Rong, Neupert, Titus, Yuan, Zhujun, Jia, Shuang, Lin, Hsin, Yao, Nan, Balicas, Luis, Zhang, Fan, Yao, Yugui, & Hasan, M. Zahid. Evidence of a room-temperature quantum spin Hall edge state in a higher-order topological insulator. United States. https://doi.org/10.1038/s41563-022-01304-3
Shumiya, Nana, Hossain, Md Shafayat, Yin, Jia-Xin, Wang, Zhiwei, Litskevich, Maksim, Yoon, Chiho, Li, Yongkai, Yang, Ying, Jiang, Yu-Xiao, Cheng, Guangming, Lin, Yen-Chuan, Zhang, Qi, Cheng, Zi-Jia, Cochran, Tyler A., Multer, Daniel, Yang, Xian P., Casas, Brian, Chang, Tay-Rong, Neupert, Titus, Yuan, Zhujun, Jia, Shuang, Lin, Hsin, Yao, Nan, Balicas, Luis, Zhang, Fan, Yao, Yugui, and Hasan, M. Zahid. Thu . "Evidence of a room-temperature quantum spin Hall edge state in a higher-order topological insulator". United States. https://doi.org/10.1038/s41563-022-01304-3. https://www.osti.gov/servlets/purl/1877193.
@article{osti_1877193,
title = {Evidence of a room-temperature quantum spin Hall edge state in a higher-order topological insulator},
author = {Shumiya, Nana and Hossain, Md Shafayat and Yin, Jia-Xin and Wang, Zhiwei and Litskevich, Maksim and Yoon, Chiho and Li, Yongkai and Yang, Ying and Jiang, Yu-Xiao and Cheng, Guangming and Lin, Yen-Chuan and Zhang, Qi and Cheng, Zi-Jia and Cochran, Tyler A. and Multer, Daniel and Yang, Xian P. and Casas, Brian and Chang, Tay-Rong and Neupert, Titus and Yuan, Zhujun and Jia, Shuang and Lin, Hsin and Yao, Nan and Balicas, Luis and Zhang, Fan and Yao, Yugui and Hasan, M. Zahid},
abstractNote = {Room-temperature realization of macroscopic quantum phases is one of the major pursuits in fundamental physics. The quantum spin Hall phase is a topological quantum phase that features a two-dimensional insulating bulk and a helical edge state. Here we use vector magnetic field and variable temperature based scanning tunnelling microscopy to provide micro-spectroscopic evidence for a room-temperature quantum spin Hall edge state on the surface of the higher-order topological insulator Bi4Br4. Here, we find that the atomically resolved lattice exhibits a large insulating gap of over 200 meV, and an atomically sharp monolayer step edge hosts an in-gap gapless state, suggesting topological bulk–boundary correspondence. An external magnetic field can gap the edge state, consistent with the time-reversal symmetry protection inherent in the underlying band topology. We further identify the geometrical hybridization of such edge states, which not only supports the Z2 topology of the quantum spin Hall state but also visualizes the building blocks of the higher-order topological insulator phase. Our results further encourage the exploration of high-temperature transport quantization of the putative topological phase reported here.},
doi = {10.1038/s41563-022-01304-3},
journal = {Nature Materials},
number = ,
volume = 21,
place = {United States},
year = {Thu Jul 14 00:00:00 EDT 2022},
month = {Thu Jul 14 00:00:00 EDT 2022}
}

Works referenced in this record:

Bismuthene on a SiC substrate: A candidate for a high-temperature quantum spin Hall material
journal, June 2017


Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Room-Temperature Quantum Hall Effect in Graphene
journal, March 2007


Weak Topological Insulators and Composite Weyl Semimetals: β Bi 4 X 4 ( X = Br , I)
journal, February 2016


Topological insulators and superconductors
journal, October 2011


Experimental observation of conductive edge states in weak topological insulator candidate HfTe 5
journal, December 2018

  • Liu, S.; Wang, M. X.; Chen, C.
  • APL Materials, Vol. 6, Issue 12
  • DOI: 10.1063/1.5050847

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
  • DOI: 10.1038/nmat4686

Observation of the quantum spin Hall effect up to 100 kelvin in a monolayer crystal
journal, January 2018


Quantum-limit Chern topological magnetism in TbMn6Sn6
journal, July 2020


Landau Quantization of Topological Surface States in Bi 2 Se 3
journal, August 2010


Robust spin-polarized midgap states at step edges of topological crystalline insulators
journal, December 2016


Higher-order topological insulators
journal, June 2018

  • Schindler, Frank; Cook, Ashley M.; Vergniory, Maia G.
  • Science Advances, Vol. 4, Issue 6
  • DOI: 10.1126/sciadv.aat0346

Room-temperature superconductivity in a carbonaceous sulfur hydride
journal, October 2020


Z2 Topological Order and the Quantum Spin Hall Effect
journal, September 2005


Quantum Spin Hall Insulator State in HgTe Quantum Wells
journal, November 2007


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
  • DOI: 10.1016/j.cpc.2007.11.016

Surface states of topological insulators
journal, August 2012


Colloquium: Topological insulators
journal, November 2010


Quantum Spin Hall Effect in Graphene
journal, November 2005


Low temperature scanning tunneling spectroscopy on InAs(110)
journal, August 2000

  • Morgenstern, M.; Haude, D.; Gudmundsson, V.
  • Journal of Electron Spectroscopy and Related Phenomena, Vol. 109, Issue 1-2
  • DOI: 10.1016/S0368-2048(00)00112-2

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


Large-Gap Quantum Spin Hall Insulator in Single Layer Bismuth Monobromide Bi 4 Br 4
journal, July 2014

  • Zhou, Jin-Jian; Feng, Wanxiang; Liu, Cheng-Cheng
  • Nano Letters, Vol. 14, Issue 8
  • DOI: 10.1021/nl501907g

Topological edge states in single- and multi-layer Bi 4 Br 4
journal, January 2015


Spatial and Energy Distribution of Topological Edge States in Single Bi(111) Bilayer
journal, July 2012


Experimental Observations Indicating the Topological Nature of the Edge States on HfTe 5
journal, November 2019


Reflection-Symmetric Second-Order Topological Insulators and Superconductors
journal, December 2017


Quantum Spin Hall Effect
journal, March 2006


Observation of topologically protected states at crystalline phase boundaries in single-layer WSe2
journal, August 2018


Imaging Dirac-mass disorder from magnetic dopant atoms in the ferromagnetic topological insulator Cr x (Bi 0.1 Sb 0.9 ) 2-x Te 3
journal, January 2015

  • Lee, Inhee; Kim, Chung Koo; Lee, Jinho
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 5
  • DOI: 10.1073/pnas.1424322112

Evidence for a higher-order topological insulator in a three-dimensional material built from van der Waals stacking of bismuth-halide chains
journal, January 2021


Topological Insulators and Topological Superconductors
book, January 2013


Surface State Magnetization and Chiral Edge States on Topological Insulators
journal, January 2013


Experimental Observation of Topological Edge States at the Surface Step Edge of the Topological Insulator ZrTe 5
journal, April 2016


Tomonaga–Luttinger liquid in the edge channels of a quantum spin Hall insulator
journal, October 2019


Observation of topological states residing at step edges of WTe2
journal, September 2017


Purely rotational symmetry-protected topological crystalline insulator $\alpha$ -Bi 4 Br 4
journal, May 2019


One-dimensional topological edge states of bismuth bilayers
journal, August 2014

  • Drozdov, Ilya K.; Alexandradinata, A.; Jeon, Sangjun
  • Nature Physics, Vol. 10, Issue 9
  • DOI: 10.1038/nphys3048

Subnanometre-wide electron channels protected by topology
journal, March 2015

  • Pauly, Christian; Rasche, Bertold; Koepernik, Klaus
  • Nature Physics, Vol. 11, Issue 4
  • DOI: 10.1038/nphys3264

Probing topological quantum matter with scanning tunnelling microscopy
journal, March 2021


Quantum spin Hall state in monolayer 1T'-WTe2
journal, June 2017

  • Tang, Shujie; Zhang, Chaofan; Wong, Dillon
  • Nature Physics, Vol. 13, Issue 7
  • DOI: 10.1038/nphys4174

Works referencing / citing this record:

Topological Phase Transition in Sb2Mg3 Assisted by Strain
journal, May 2019


Lorentz-violating type-II Dirac fermions in transition metal dichalcogenide PtTe2
journal, August 2017


Observation of topological states residing at step edges of WTe2
journal, September 2017


Signatures of a time-reversal symmetric Weyl semimetal with only four Weyl points
journal, October 2017


Author Correction: Full-gap superconductivity in spin-polarised surface states of topological semimetal β-PdBi2
journal, December 2017


Large magneto-thermopower in MnGe with topological spin texture
journal, January 2018


Spin-momentum locking and spin-orbit torques in magnetic nano-heterojunctions composed of Weyl semimetal WTe2
journal, September 2018


Author Correction: Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
journal, October 2018


Strong-correlation induced high-mobility electrons in Dirac semimetal of perovskite oxide
journal, January 2019


Giant thermoelectric power factor in ultrathin FeSe superconductor
journal, February 2019


A Lieb-like lattice in a covalent-organic framework and its Stoner ferromagnetism
journal, May 2019


Physical origin of giant excitonic and magneto-optical responses in two-dimensional ferromagnetic insulators
journal, May 2019


Prediction of ferroelectricity-driven Berry curvature enabling charge- and spin-controllable photocurrent in tin telluride monolayers
journal, September 2019


Topological magneto-optical effects and their quantization in noncoplanar antiferromagnets
journal, January 2020


Tunable anomalous Hall conductivity through volume-wise magnetic competition in a topological kagome magnet
journal, January 2020


Giant Magnetic Band Gap in the Rashba-Split Surface State of Vanadium-Doped BiTeI: A Combined Photoemission and Ab Initio Study
journal, June 2017


Spatially Confined Spin Polarization and magnetic sublattice control in (La,Sr)MnO3−δ Thin Films by Oxygen Vacancy Ordering
journal, June 2017


Unconventional band inversion and intrinsic quantum spin Hall effect in functionalized group-V binary films
journal, July 2017


Boron Triangular Kagome Lattice with Half-Metallic Ferromagnetism
journal, August 2017


Gapless edge states in (C,O,H)-built molecular system with p-stacking and hydrogen bonds
journal, August 2017


Graphene analogue in (111)-oriented BaBiO3 bilayer heterostructures for topological electronics
journal, January 2018


Spin valley and giant quantum spin Hall gap of hydrofluorinated bismuth nanosheet
journal, May 2018


High-throughput Discovery of Topologically Non-trivial Materials using Spin-orbit Spillage
journal, June 2019


Chern insulator with a nearly flat band in the metal-organic-framework-based Kagome lattice
journal, September 2019


Quantum spin-valley Hall effect in AB-stacked bilayer silicene
journal, December 2019


Charge mobility calculation of organic semiconductors without use of experimental single-crystal data
journal, February 2020


Quantum valley Hall effect in wide-gap semiconductor SiC monolayer
journal, March 2020


Heptagraphene: Tunable Dirac Cones in a Graphitic Structure
journal, September 2016

  • Lopez-Bezanilla, Alejandro; Martin, Ivar; Littlewood, Peter B.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep33220

Electronic Excitation Dynamics in Liquid Water under Proton Irradiation
journal, January 2017

  • Reeves, Kyle G.; Kanai, Yosuke
  • Scientific Reports, Vol. 7, Issue 1
  • DOI: 10.1038/srep40379

Prediction of Quantum Anomalous Hall Effect in MBi and MSb (M:Ti, Zr, and Hf) Honeycombs
journal, February 2018

  • Huang, Zhi-Quan; Chen, Wei-Chih; Macam, Gennevieve M.
  • Nanoscale Research Letters, Vol. 13, Issue 1
  • DOI: 10.1186/s11671-017-2424-y

Generalized GW+Boltzmann Approach for the Description of Ultrafast Electron Dynamics in Topological Insulators
journal, July 2017

  • Battiato, Marco; Aguilera, Irene; Sánchez-Barriga, Jaime
  • Materials, Vol. 10, Issue 7
  • DOI: 10.3390/ma10070810

Tunable Electronic and Topological Properties of Germanene by Functional Group Modification
journal, March 2018

  • Ren, Ceng-Ceng; Zhang, Shu-Feng; Ji, Wei-Xiao
  • Nanomaterials, Vol. 8, Issue 3
  • DOI: 10.3390/nano8030145

Strain-Induced Quantum Spin Hall Effect in Two-Dimensional Methyl-Functionalized Silicene SiCH3
journal, September 2018

  • Ren, Ceng-Ceng; Ji, Wei-Xiao; Zhang, Shu-Feng
  • Nanomaterials, Vol. 8, Issue 9
  • DOI: 10.3390/nano8090698

Nonsymmorphic symmetry protected node-line semimetal in the trigonal YH3
text, January 2017