Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling

Abstract

We show that the spin Hall conductivity in insulators is related with a magnetic susceptibility representing the strength of the spin-orbit coupling. We use this relationship as a guiding principle to search real materials showing quantum spin Hall effect. As a result, we theoretically predict that bismuth will show the quantum spin Hall effect, both by calculating the helical edge states, and by showing the non-triviality of the Z_2 topological number, and propose possible experiments.

5 pages, 2 figures, accepted for publication in Phys. Rev. Lett

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Cited by in corpus (257)

• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators in Three Dimensions
• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• New directions in the pursuit of Majorana fermions in solid state systems
• Quantum Spin Hall Effect in Silicene
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Topological Insulator Materials
• Colloquium: Topological Band Theory
• Low-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin
• Large-gap quantum spin Hall insulators in tin films
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Higher-Order Topology in Bismuth
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Nature of the 5f states in actinide metals
• Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• One-dimensional Topological Edge States of Bismuth Bilayers
• Well-localized edge states in two-dimensional topological insulators: ultrathin Bi films
• Stable nontrivial Z2 topology in ultrathin Bi (111) films: a first-principles study
• Anomalous Finite Size Effects on Surface States in the Topological Insulator Bi${}_2$Se${}_3$
• Angle Dependent Van Hove Singularities in Slightly Twisted Graphene Bilayer
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Transition-Metal Pentatelluride ZrTe${}_5$ and HfTe${}_5$: a Paradigm for Large-gap Quantum Spin Hall Insulators
• Organic Topological Insulators in Organometallic Lattices
• Imaging currents in HgTe quantum wells in the quantum spin Hall regime
• Highly-ordered wide bandgap materials for quantized anomalous Hall and magnetoelectric effects
• Functionalized Germanene as a Prototype of Large-Gap Two-Dimensional Topological Insulators
• Quantum spin Hall effect in three dimensional materials: Lattice computation of Z${}_2$ topological invariants and its application to Bi and Sb
• Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface
• Proximity effect at the superconductor - topological insulator interface
• Topological Materials Discovery from Crystal Symmetry
• Majorana Kramers pairs in higher-order topological insulators
• Robust topological edge states at the perfect surface step edge of topological insulator ZrTe${}_5$
• Large-Gap Quantum Spin Hall Insulator in single layer bismuth monobromide Bi${}_4$Br${}_4$
• Observation of a Majorana zero mode in a topologically protected edge channel
• On the quantum spin Hall gap of monolayer 1T'-WTe2
• Universal Approach to Magnetic Second-Order Topological Insulator
• Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Direct mapping of the spin-filtered surface bands of a three-dimensional quantum spin Hall insulator
• Quantum-spin-Hall insulator with a large gap: single-layer 1T' WSe${}_2$
• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Observation of Topologically Protected States at Crystalline Phase Boundaries in Single-layer WSe2
• Disordered Topological Insulators: A Non-Commutative Geometry Perspective
• Localization in a quantum spin Hall system
• Magnonic topological insulators in antiferromagnets
• Quantum spin/valley Hall effect and topological insulator phase transitions in silicene
• Universal phase diagrams for the quantum spin Hall systems
• Bi(111) thin film with insulating interior but metallic surfaces
• Low-Energy Effective Hamiltonian for Giant-Gap Quantum Spin Hall Insulators in Honeycomb X-Hydride/Halide (X=N-Bi) Monolayers
• Ballistic edge states in Bismuth nanowires revealed by SQUID interferometry
• Topological states in two-dimensional optical lattices
• New Family of Quantum Spin Hall Insulators in Two-dimensional Transition-Metal Halide with Large Nontrivial Band Gaps
• Theory of Orbital Magnetization in Solids
• Topologically protected quantum transport in locally exfoliated bismuth at room temperature
• Room Temperature Quantum Spin Hall Insulators with a Buckled Square Lattice
• From a normal insulator to a topological insulator in plumbene
• Fractional corner charges in spin-orbit coupled crystals
• Role of Berry phase theory for describing orbital magnetism: From magnetic heterostructures to topological orbital ferromagnets
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Quasiparticle Dynamics in Reshaped Helical Dirac Cone of Topological Insulators
• Non-Commutative Tools for Topological Insulators
• $\mbox{Bi}_{1}\mbox{Te}_{1}$: a dual topological insulator
• Van der Waals heteroepitaxial growth of monolayer Sb in puckered honeycomb structure
• Oscillating Nernst-Ettingshausen effect in Bismuth across the quantum limit
• Abundance of ${\mathbb{Z}}_2$ topological order in exfoliable two-dimensional insulators
• AC/DC Spin and Valley Hall Effects in Silicene and Germanene
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Resolving the Topological Classification of Bismuth with Topological Defects
• Edge and Interfacial States in a 2D Topological Insulator:Bi(111) Bilayer on Bi${}_2$Te${}_2$Se
• Functionalized Bismuth Films: Giant Gap Quantum Spin Hall and Valley-Polarized Quantum Anomalous Hall States
• Thermoelectricity by Perfectly Conducting Channels in Quantum Spin Hall Systems
• Creation of Helical Dirac Fermions by Interfacing Two Gapped Systems of Ordinary Fermions
• One-Dimensional Edge States with Giant Spin Splitting in a Bismuth Thin Film
• Electrides as a New Platform of Topological Materials
• Formation of quantum spin Hall state on Si surface and energy gap scaling with strength of spin orbit coupling
• Observation of Coulomb gap in the quantum spin Hall candidate single-layer 1T'-WTe${}_2$
• Topological insulators from the Perspective of first-principles calculations
• Ballistic quantum spin Hall state and enhanced edge backscattering in strong magnetic fields
• Magnetic properties of HgTe quantum wells
• A study on correlation effects in two dimensional topological insulators
• Competing Magnetic Orderings and Tunable Topological States in Two-Dimensional Hexagonal Organometallic Lattices
• Topological insulator in a Bi-Bi${}_2$Se${}_3$ infinitely adaptive superlattice phase
• Atomically Thin Quantum Spin Hall Insulators
• Photoinduced quantum spin and valley Hall effects and orbital magnetization in monolayer MoS2
• Termination dependent topological surface states of the natural superlattice phase Bi${}_4$Se${}_3$
• Simulating and Detecting the Quantum Spin Hall Effect in Kagomé Optical Lattice
• Two-Dimensional Inversion Asymmetric Topological Insulators in Functionalized III-Bi Bilayers
• Spin-polarized current induced by a local exchange field in a silicene nanoribbon
• Spin Aharonov-Bohm effect and topological spin transistor
• Weak topological insulators induced by the inter-layer coupling: A first-principles study of stacked Bi2TeI
• Topological invariants for Standard Model: from semi-metal to topological insulator
• Visualizing topological edge states of single and double bilayer Bi supported on multibilayer Bi(111) films
• A new structure of two-dimensional allotropes of group V elements
• Prototypical topological orbital ferromagnet $\gamma$-FeMn
• Valley-polarized quantum anomalous Hall phases and tunable topological phase transitions in half-hydrogenated Bi honeycomb monolayers
• Topological edge states in single- and multi-layer Bi${}_4$Br${}_4$
• Interband Effects of Magnetic Field on Hall Effects for Dirac Electrons in Bismuth
• Devices with electrically tunable topological insulating phases
• Topological Superfluid Transition Induced by Periodically Driven Optical Lattice
• Epitaxial Growth of Ultraflat Bismuthene with Large Topological Band Inversion Enabled by Substrate-Orbital-Filtering Effect
• The edge engineering of topological Bi(111) bilayer
• Topological phases of Bi(111) bilayer in an external exchange field
• Possibility of Realizing Quantum Spin Hall Effect at Room Temperature in Stanene/Al2O3(0001)
• Spin polarised scanning tunneling probe for helical Luttinger liquids
• Helical Liquids in Semiconductors
• Weak (anti-)localization in doped Z_2-topological insulator
• Evidence of topological two-dimensional metallic surface states in thin bismuth nanoribbons
• In-Plane Magnetization Induced Quantum Anomalous Hall Effect in Atomic Crystals of Group-V Elements
• Theory of spin magnetic quadrupole moment and temperature-gradient-induced magnetization
• Unraveling materials Berry curvature and Chern-Simons numbers from real-time evolution of Bloch states
• Experimental Progress on Layered Topological Semimetals
• Engineering electronic structure of a 2D topological insulator Bi(111) bilayer on Sb nanofilms by quantum confinement effect
• Topological edge and corner states in Bi fractals on InSb
• Corner states of topological fullerenes
• Robust Helical Edge Transport in Quantum Spin Hall Quantum Wells
• Intra- and Interband Electron Scattering in the Complex Hybrid Topological Insulator Bismuth Bilayer on Bi${}_2$Se${}_3$
• Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
• Topological crystalline insulator phase in graphene multilayers
• Functionalized Thallium Antimony Films as Excellent Candidates for Large-Gap Quantum Spin Hall Insulator
• Topological fate of edge states of Bi single bilayer on Bi(111)
• Exceptional electronic transport and quantum oscillations in thin bismuth crystals grown inside van der Waals materials
• Probing topological transitions in HgTe/CdTe quantum wells by magneto-optical measurements
• Tight-binding theory of surface spin states on bismuth thin films
• Conserved current of nonconserved quantities
• Gap closing and universal phase diagrams in topological insulators
• Engineering quantum spin Hall insulators by strained-layer heterostructures
• Growth and Thermo-driven Crystalline Phase Transition of Metastable Monolayer 1T'-WSe2 Thin Film
• Andreev spectrum with high spin-orbit interactions: revealing spin splitting and topologically protected crossings
• Robust Room-Temperature Quantum Spin Hall Effect in Methyl-functionalized InBi honeycomb film
• Photo-induced electronic and spin topological phase transitions in monolayer bismuth
• Engineering quantum anomalous Hall phases with orbital and spin degrees of freedom
• Topological proximity effects in a Haldane-graphene bilayer system
• Impurity scattering on the surface of topological insulator thin films
• First-principles study of electric-field-induced topological phase transition in one-bilayer Bi(111)
• Exact solutions for a type of electron pairing model with spin-orbit interactions and Zeeman coupling
• Theory of orbital magnetization in disordered systems
• Spin-orbit spillage as a measure of band inversion in insulators
• Long-lived domain wall plasmons in gapped bilayer graphene
• Topological winding properties of spin edge states in Kane-Mele graphene model
• Observation of backscattering induced by magnetism in a topological edge state
• Persistence of spin edge currents in disordered quantum spin Hall systems
• Topological semimetal-to-insulator phase transition between noncollinear and noncoplanar multiple-Q states on a square-to-triangular lattice
• High repetition pump-and-probe photoemission spectroscopy based on a compact fiber laser system
• Topologically-protected metallic states induced by a one-dimensional extended defect in a 2D topological insulator
• Spin accumulation without spin current
• Quantum size effects, multiple Dirac cones and edge states in ultrathin Bi(110) films
• Orbital Magnetization of Quantum Spin Hall Insulator Nanoparticles
• Prediction of giant and ideal Rashba-type splitting in ordered alloy monolayers grown on a polar surface
• Strong-coupling charge density wave in a one-dimensional topological metal
• Discovery of a magnetic Dirac system with large intrinsic non-linear Hall effect
• Thermoelectric transport of perfectly conducting channels in two- and three-dimensional topological insulators
• Spin Hall conductivity in insulators with non-conserved spin
• Spin-Hall Effect and Diamagnetism of Anisotropic Dirac Electrons in Solids
• One-dimensional spin texture of Bi(441); Quantum Spin Hall properties without a topological insulator
• Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering
• Nonuniform grids for Brillouin zone integration and interpolation
• Mono-elemental saturable absorber in mode-locked fiber laser: A review
• Crossed responses of spin and orbital magnetism in topological insulators
• Topological phases in Bi/Sb planar and buckled honeycomb monolayers
• Topological nature of the proper spin current and the spin-Hall torque
• Universal Quantization of Magnetic Susceptibility Jump at Topological Phase Transition
• Stability of topological properties of bismuth (111) bilayer
• Spin Conductance and Spin Conductivity in Topological Insulators: Analysis of Kubo-like terms
• Orbit- and Atom-Resolved Spin Textures of Intrinsic, Extrinsic and Hybridized Dirac Cone States
• Intrinsic spin-Hall accumulation in honeycomb lattices: Band structure effects
• Spin-orbit crossed susceptibility in topological Dirac semimetals
• Conductance distributions in disordered quantum spin-Hall systems
• Dynamical correlation enhanced orbital magnetization in VI${}_3$
• Probing the Band Topology of Mercury Telluride through Weak Localization and Antilocalization
• Quantum Nernst Effect in a Bismuth Single Crystal
• Structural spillage: an efficient method to identify non-crystalline topological materials
• Surface Modification and Subsequent Fermi Density Enhancement of Bi(111)
• A new family of two-dimensional crystals: open-framework T${}_3$X (T=C, Si, Ge, Sn; X=O, S, Se, Te) compounds with tetrahedral bonding
• Quantum phase transitions of topological insulators without gap closing
• Intrinsic spin Hall effect in graphene: Numerical calculations in a multi-orbital mode
• Topological phase in non-centrosymmetric material NaSnBi
• A new kind of 2D topological insulators BiCN with a giant gap and its substrate effects
• Straining the Identity of Majorana Fermions
• Quantum Hall effect induced by chiral Landau levels in topological semimetal films
• Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas
• Edge states and topological properties of electrons on the bismuth on silicon surface with giant spin-orbit coupling
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase
• Emergent topological fields and relativistic phonons within the thermoelectricity in topological insulators
• Spin-orbital magnetic response of relativistic fermions with band hybridization
• Ab initio Calculations in Atoms, Molecules, and Solids, Treating Spin-Orbit Coupling and Electron Interaction on Equal Footing
• Helical currents in metallic Rashba strips
• Reversible Switching of the Environment-Protected Quantum Spin Hall Insulator Bismuthene at the Graphene/SiC Interface
• Exact description of the boundary theory of the Kitaev Toric Code with open boundary conditions
• Spin-Hall effect in topological materials: Evaluating the proper spin current in systems with arbitrary degeneracies
• Epitaxial growth of bilayer Bi(110) on two-dimensional ferromagnetic Fe3GeTe2
• BerryEasy: A GPU enabled python package for diagnosis of nth-order and spin-resolved topology in the presence of fields and effects
• Localized Wannier function based tight-binding models for two-dimensional allotropes of bismuth
• Electric-field-induced Z2 topological phase transition in strained single bilayer Bi(111)
• Electrical modulation of the edge channel transport in topological insulators coupled to ferromagnetic leads
• Quantum spin Hall effect in a two-orbital model on a honeycomb lattice
• Topological contribution to magnetism in the Kane-Mele model: An explicit wave function approach
• Room-temperature nonlinear transport and microwave rectification in antiferromagnetic MnBi${}_2$Te${}_4$ films
• Multiprobe quantum spin Hall bars
• The growth of bismuth on Bi${}_2$Se${}_3$ and the stability of the first bilayer
• Piezoelectric quantum spin Hall insulator VCClBr monolayer with pure out-of-plane piezoelectric response
• Nontrivial gapless electronic states at the stacking faults of weak topological insulators
• RKKY interactions mediated by topological states in transition metal doped bismuthene
• Current-induced quasiparticle magnetic multipole moments
• STM observation of the hinge-states of bismuth nanocrystals
• Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach
• Searching for Large-gap Quantum Spin Hall Insulators: Boron-Nitride/(Pb, Sn)/α-Al2O3 Sandwich Structures
• Quantum spin Hall phase in multilayer graphene
• Effect of chiral selective tunneling on quantum transport in magnetic topological-insulator thin films
• Středa formula for charge and spin currents
• Zero-Energy State Localized near an Arbitrary Edge in Quadrupole Topological Insulators
• Giant inverse Faraday effect in Dirac semimetals
• Dynamical Majorana Ising spin response in a topological superconductor-magnet hybrid by microwave irradiation
• Unusual temperature evolution of band structure of Bi(111) studied by angle-resolved photoemission spectroscopy and density functional theory
• Possible superconductivity in Bismuth (111) bilayers. Its electronic and vibrational properties from first principles
• Strong and Weak Three-Dimensional Topological Insulators Probed by Surface Science Methods
• Competing edge structures of Sb and Bi bilayers by trivial and nontrivial band topologies
• Quantum geometric bounds in spinful systems with trivial band topology
• Realization of Kane-Mele Model in $X{\mathbf{N}}_4$-Embedded Graphene ($X$=Pt, Ir, Rh, Os)
• Quantum spin Hall insulators and quantum valley Hall insulators of BiX/SbX (X = H, F, Cl, and Br) monolayers with a record bulk band gap
• Synchrotron-radiation studies of topological insulators
• Entanglement entropy and entanglement spectrum of Bi${}_{1-x}$Sb${}_x$ (111) bilayers
• Coexisting surface states in the weak and crystalline topological insulator Bi_2TeI
• Spin-valley-coupled quantum spin Hall insulator with topological Rashba-splitting edge states in Janus monolayer $\mathrm{CS}{\mathrm{b}}_{1.5}\mathrm{B}{\mathrm{i}}_{1.5}$
• Structural Anisotropy in Sb Thin Films
• Moiré superlattices of antimonene on a Bi(111) substrate with van Hove singularity and Rashba-type spin polarization
• Single Crystal Growth and Transport Properties of van der Waals Materials $AB$Te${}_4$ ($A/B$ = Ti, Zr, Hf)
• Reentrant quantum spin Hall effect in the presence of an exchange field
• Correlation Effects in Orbital Magnetism
• Anomalous Transition Magnetic Moments in two-dimensional Dirac Materials
• Unidirectional magneto-transport of linearly dispersing topological edge states
• Bi layer properties in the Bi-FeNi GMR-type structures probed by spectroscopic ellipsometry
• Proposal for a scalable charging-energy-protected topological qubit in a quantum spin Hall system
• Charge to spin conversion in atomically thin bismuth
• Magnetization energy current in the axial magnetic effect
• Dephasing-Induced Stabilization of a Perfectly Conducting Channel in Disordered Graphene Nanoribbons with Zigzag Edges
• Disorder and quantum transport of the helical quantum Hall phase in graphene
• Coherence Control of Directional Nonlinear Photocurrent in Spatially Symmetric Systems
• Topological phase transition based on the attractive Hubbard model
• Helical edge states induced by lateral spin-orbit coupling
• Detecting and Distinguishing Majorana Zero Modes with the Scanning Tunneling Microscope
• Intrinsic Nernst Effect from Berry Curvature in Superconductors
• Stain-Induced Band Inversion and Topological Nontriviality in Antimonene
• Topological electronic states and thermoelectric transport at phase boundaries in single-layer WSe${}_2$: An effective Hamiltonian theory
• Observation of Yamaji magic angles in bismuth surfaces
• Halogen adsorption and reaction with Bi${}_2$(Se,Te)${}_3$ and Bi/Bi${}_2$(Se,Te)${}_3$
• Tuning Transport Properties of Topological Edge States of Bi(111) Bilayer Film by Edge Adsorption
• Systematic study for two-dimensional $Z_2$ topological phase transitions at high-symmetry points in all layer groups
• Superconductivity in spin-orbit coupled BaBi${}_3$ formed by in situ reduction of bismuthate films
• Local Density of States in a Helical Tomonaga-Luttinger Liquid of Loop and Josephson Junction Geometries