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

Title: Quantum spin Hall phase in 2D trigonal lattice

Journal Article · · Nature Communications
 [1];  [2];  [3]
  1. Univ. of Science and Technology of China, Anhui (China); Univ. of Utah, Salt Lake City, UT (United States)
  2. Univ. of Utah, Salt Lake City, UT (United States)
  3. Univ. of Utah, Salt Lake City, UT (United States); Collaborative Innovation Center of Quantum Matter, Beijing (China)

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.

Research Organization:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
FG02-04ER46148
OSTI ID:
1361410
Journal Information:
Nature Communications, Vol. 7; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 39 works
Citation information provided by
Web of Science

References (52)

Quantum Spin Hall Effect in Graphene journal November 2005
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells journal December 2006
Quantum Spin Hall Insulator State in HgTe Quantum Wells journal November 2007
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" journal October 1988
Evidence for Helical Edge Modes in Inverted InAs / GaSb Quantum Wells journal September 2011
Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling journal December 2006
Quantum Spin Hall Effect in Silicene and Two-Dimensional Germanium journal August 2011
Organic topological insulators in organometallic lattices journal February 2013
Prediction of a Two-Dimensional Organic Topological Insulator journal May 2013
Proximity-induced giant spin-orbit interaction in epitaxial graphene on a topological insulator journal February 2013
Large-Gap Quantum Spin Hall Insulators in Tin Films journal September 2013
Prediction of Large-Gap Two-Dimensional Topological Insulators Consisting of Bilayers of Group III Elements with Bi journal April 2014
Functionalized germanene as a prototype of large-gap two-dimensional topological insulators journal March 2014
Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface journal September 2014
Formation of quantum spin Hall state on Si surface and energy gap scaling with strength of spin orbit coupling journal November 2014
The nontrivial electronic structure of Bi/Sb honeycombs on SiC(0001) journal February 2015
Robust Large Gap Two-Dimensional Topological Insulators in Hydrogenated III–V Buckled Honeycombs journal September 2015
Large-gap quantum spin Hall states in decorated stanene grown on a substrate journal August 2015
Topological phases in two-dimensional materials: a review journal May 2016
Robust Two-Dimensional Topological Insulators in Methyl-Functionalized Bismuth, Antimony, and Lead Bilayer Films journal January 2015
Strain-driven band inversion and topological aspects in Antimonene journal November 2015
Quantum anomalous Hall effect and related topological electronic states journal May 2015
Au wetting and nanoparticle stability on GaAs(111)B journal December 2006
Stable Nontrivial Z 2 Topology in Ultrathin Bi (111) Films: A First-Principles Study journal September 2011
Topological states of non-Dirac electrons on a triangular lattice journal January 2016
Topological field theory of time-reversal invariant insulators journal November 2008
s d 2 Graphene: Kagome Band in a Hexagonal Lattice journal December 2014
Self-Assembled Si(111) Surface States: 2D Dirac Material for THz Plasmonics journal July 2015
A Strategy to Create Spin-Split Metallic Bands on Silicon Using a Dense Alloy Layer journal April 2014
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
wannier90: A tool for obtaining maximally-localised Wannier functions journal May 2008
Tuning Topological Edge States of Bi(111) Bilayer Film by Edge Adsorption journal April 2014
Observation of a universal donor-dependent vibrational mode in graphene journal February 2014
High-temperature superconductivity in potassium-coated multilayer FeSe thin films journal June 2015
Spatial and Energy Distribution of Topological Edge States in Single Bi(111) Bilayer journal July 2012
One-dimensional topological edge states of bismuth bilayers journal August 2014
Topological edge states in a high-temperature superconductor FeSe/SrTiO3(001) film journal July 2016
Spin-polarized quantum well states on Bi 2 − x Fe x Se 3 journal April 2015
Ab initiomolecular dynamics for liquid metals journal January 1993
Robust Large Gap Two-Dimensional Topological Insulators in Hydrogenated III–V Buckled Honeycombs journal September 2015
Prediction of Large-Gap Two-Dimensional Topological Insulators Consisting of Bilayers of Group III Elements with Bi journal April 2014
Observation of a universal donor-dependent vibrational mode in graphene journal February 2014
High-temperature superconductivity in potassium-coated multilayer FeSe thin films journal June 2015
A Strategy to Create Spin-Split Metallic Bands on Silicon Using a Dense Alloy Layer journal April 2014
Formation of quantum spin Hall state on Si surface and energy gap scaling with strength of spin orbit coupling journal November 2014
Strain-driven band inversion and topological aspects in Antimonene journal November 2015
Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface journal September 2014
Topological phases in two-dimensional materials: a review journal May 2016
Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells text January 2011
Organic Topological Insulators in Organometallic Lattices text January 2013
Quantum Spin Hall Effect in Graphene text January 2004
Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling text January 2006

Cited By (11)

Quantum Spin Hall Materials journal July 2019
Computational design of two-dimensional topological materials: Two-dimensional topological materials journal March 2017
Oxygen-functionalized TlTe buckled honeycomb from first-principles study journal January 2019
Fully spin-polarized quadratic non-Dirac bands realized quantum anomalous Hall effect journal January 2020
Topological phase transition induced by p x,y and p z band inversion in a honeycomb lattice journal January 2019
Robust large gap quantum spin Hall insulators in methyl and ethynyl functionalized TlSb buckled honeycombs journal July 2018
Prediction of intrinsic two-dimensional non-Dirac topological insulators in triangular metal-organic frameworks journal January 2019
Surface alloy engineering in 2D trigonal lattice: giant Rashba spin splitting and two large topological gaps journal February 2018
Hourglass Fermion in Two-Dimensional Material journal September 2019
Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice text January 2018
Fully spin-polarized quadratic non-Dirac bands realized quantum anomalous Hall effect text January 2019