Helical Metal Inside a Topological Band Insulator

Abstract

Topological defects, such as domain walls and vortices, have long fascinated physicists. A novel twist is added in quantum systems like the B-phase of superfluid helium He${}_3$, where vortices are associated with low energy excitations in the cores. Similarly, cosmic strings may be tied to propagating fermion modes. Can analogous phenomena occur in crystalline solids that host a plethora of topological defects? Here we show that indeed dislocation lines are associated with one dimensional fermionic excitations in a `topological insulator', a novel band insulator believed to be realized in the bulk material Bi${}_{0.9}$Sb${}_{0.1}$. In contrast to fermionic excitations in a regular quantum wire, these modes are topologically protected like the helical edge states of the quantum spin-Hall insulator, and not scattered by disorder. Since dislocations are ubiquitous in real materials, these excitations could dominate spin and charge transport in topological insulators. Our results provide a novel route to creating a potentially ideal quantum wire in a bulk solid.

References in corpus (14)

• Quantum Spin Hall Effect in Graphene
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• Quantum Spin Hall Insulator State in HgTe Quantum Wells
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• Quantum Spin Hall Effect
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
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Cited by in corpus (250)

• Topological Insulators
• Topological insulators and superconductors
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Active Particles in Complex and Crowded Environments
• Classification of topological quantum matter with symmetries
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Zoo of quantum-topological phases of matter
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Quantization of fractional corner charge in $C_n$-symmetric higher-order topological crystalline insulators
• The space group classification of topological band insulators
• Three-Dimensional Topological Insulators
• Topological classification of crystalline insulators through band structure combinatorics
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Topological acoustics
• Topological modes bound to dislocations in mechanical metamaterials
• Topological active matter
• Time Reversal Invariant Topologically Insulating Circuits
• Double Dirac Semimetals in Three Dimensions
• Experimental discovery of bulk-disclination correspondence
• Emergence of non-centrosymmetric topological insulating phase in BiTeI under pressure
• Wilson loop approach to fragile topology of split elementary band representations and topological crystalline insulators with time reversal symmetry
• Topological Nematic States and Non-Abelian Lattice Dislocations
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• The strong side of weak topological insulators
• Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
• Topological Surface States and Dirac point tuning in ternary Bi2Te2Se class of topological insulators
• All Topological Bands of All Nonmagnetic Stoichiometric Materials
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Topological Materials Discovery from Crystal Symmetry
• Topological Fano Resonances
• Angular-dependent oscillations of the magnetoresistance in Bi_2Se_3 due to the three-dimensional bulk Fermi surface
• Topological insulators and thermoelectric materials
• Classification of Two Dimensional Topological Crystalline Superconductors and Majorana Bound States at Disclinations
• Two-dimensional surface charge transport in topological insulators
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• Majorana Fermions and Disclinations in Topological Crystalline Superconductors
• Discovery of switchable weak topological insulator state in quasi-one-dimensional bismuth iodide
• Fractional disclination charge in two-dimensional $C_n-$symmetric topological crystalline insulators
• Three-dimensional Topological Insulators on the Pyrochlore Lattice
• Topological insulators in three dimensions from spontaneous symmetry breaking
• Universal probes of two-dimensional topological insulators: Dislocation and pi-flux
• Topological light-trapping on a dislocation
• Topological BF field theory description of topological insulators
• Topological Invariants of Metals and Related Physical Effects
• Interplay between electronic topology and crystal symmetry: Dislocation-line modes in topological band-insulators
• Topological kink states at a tilt boundary in gated multi-layer graphene
• Topological one-way fiber of second Chern number
• Experimental verification of PbBi${}_2$Te${}_4$ as a 3D topological insulator
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Wormhole Effect in a Strong Topological Insulator
• Weak Topological Insulators and Composite Weyl Semimetals: $\beta$-Bi${}_4$X${}_4$ (X=Br, I)
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Torsional chiral magnetic effect in Weyl semimetal with topological defect
• Prediction of weak topological insulators in layered semiconductors
• Experimental realization of single-plaquette gauge flux insertion and topological Wannier cycles
• Strain engineering Dirac surface states in heteroepitaxial topological crystalline insulator thin films
• The translational side of topological band insulators
• Topological Effects in Chiral Symmetric Driven Systems
• Resolving the Topological Classification of Bismuth with Topological Defects
• Current partition at topological zero-line intersections
• Oscillatory angular dependence of the magnetoresistance in a topological insulator Bi_{1-x}Sb_{x}
• Thermoelectricity by Perfectly Conducting Channels in Quantum Spin Hall Systems
• Topological frustration of artificial spin ice
• Topological dislocation modes in three-dimensional acoustic topological insulators
• Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators
• Thermal transport, geometry, and anomalies
• Strain-induced nonsymmorphic symmetry breaking and removal of Dirac semimetallic nodal line in an orthoperovskite iridate
• Torsion, Parity-odd Response and Anomalies in Topological States
• Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
• Observation of degenerate zero-energy topological states at disclinations in an acoustic lattice
• Vortex states in an acoustic Weyl crystal with a topological lattice defect
• Dislocation Non-Hermitian Skin Effect
• Topological indices, defects and Majorana fermion in chiral superconductors
• Patterns of Electro-magnetic Response in Topological Semi-metals
• Bound States of Conical Singularities in Graphene-Based Topological Insulators
• Response Properties of Axion Insulators and Weyl Semimetals Driven by Screw Dislocations and Dynamical Axion Strings
• Partial lattice defects in higher order topological insulators
• Topological states in multi-orbital HgTe honeycomb lattices
• Spherical topological insulator
• Möbius Graphene Strip as Topological Insulator
• Weak topological insulator with protected gapless helical states
• Majorana zero modes in dislocations of Sr${}_2$RuO${}_4$
• Weak topological insulators induced by the inter-layer coupling: A first-principles study of stacked Bi2TeI
• Three-dimensional superconductors with hybrid higher order topology
• Threading dislocation densities in semiconductor crystals: a geometric approach
• Large thermoelectric figure of merit for 3D topological Anderson insulators via line dislocation engineering
• Bulk invariants and topological response in insulators and superconductors with nonsymmorphic symmetries
• Dislocation as a bulk probe of higher-order topological insulators
• Non-Hermitian skin effect of dislocations and its topological origin
• Wannier representation of Floquet topological states
• Bound states at partial dislocation defects in multipole higher-order topological insulators
• Half quantum spin Hall effect on the surface of weak topological insulators
• Spintronics and spincaloritronics in topological insulators
• Anomalous and normal dislocation modes in Floquet topological insulators
• Weak Topological Insulators in PbTe/SnTe Superlattices
• Elasticity tetrads, mixed axial-gravitational anomalies, and 3+1d quantum Hall effect
• Unconventional Fusion and Braiding of Topological Defects in a Lattice Model
• NMR Probe of Metallic States in Nanoscale Topological Insulators
• Finite-size energy gap in weak and strong topological insulators
• Topologically protected vortex transport via chiral-symmetric disclination
• Realization of a Z classified chiral-symmetric higher-order topological insulator in a coupling-inversion acoustic crystal
• Dislocation charges reveal two-dimensional topological crystalline invariants
• Robustness of the Insulating Bulk in the Topological Kondo Insulator SmB${}_6$
• Conformal Field Theory on the Fermi Surface
• Chiral anomaly in Dirac semimetals due to dislocations
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Bulk metals with helical surface states
• Spin connection and boundary states in a topological insulator
• Spin Berry phase in anisotropic topological insulators
• Self-organized pseudo-graphene on grain boundaries in topological band insulators
• Topological Zero-Dimensional Defect and Flux States in Three-Dimensional Insulators
• Perfectly conducting channel on the dark surface of weak topological insulators
• Selection rules for Cooper pairing in two-dimensional interfaces and sheets
• Bulk-Defect Correspondence in Particle-Hole Symmetric Insulators and Semimetals
• Changing topology by topological defects in three-dimensional topologically ordered phases
• Tetrads in solids: from elasticity theory to topological quantum Hall systems and Weyl fermions
• Engineering Topological Surface States and Giant Rashba Spin Splitting in BiTeI/Bi${}_2$Te${}_3$ Heterostructures
• Corner states of topological fullerenes
• Ripple modulated electronic structure of a 3D topological insulator
• Encoding Complexity within Supramolecular Analogues of Frustrated Magnets
• Spin-polarized tunneling current through a thin film of topological insulator in a parallel magnetic field
• Trapped state at a dislocation in a weak magnetomechanical topological insulator
• Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
• Second Chern crystals in four-dimensional synthetic translation space with inherently nontrivial topology
• Topological phase transition in the quasiperiodic disordered Su-Schriffer-Heeger chain
• Topological Insulators and Quantum Spin Liquids
• Quantum tunneling through planar p-n junctions in HgTe quantum wells
• Chern-Simons Theory and Wilson Loops in the Brillouin Zone
• Topological Invariant and Quantum Spin Models from Magnetic π Fluxes in Correlated Topological Insulators
• Lattice model for the surface states of a topological insulator with applications to magnetic and exciton instabilities
• Dislocation defect as a bulk probe of monopole charge of multi-Weyl semimetals
• Disclination classes, fractional excitations, and the melting of quantum liquid crystals
• Determining topological order from a local ground state correlation function
• Discovery of a weak topological insulating state and van Hove singularity in triclinic RhBi2
• Symmetry dictated grain boundary state in a two-dimensional topological insulator
• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
• Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors
• Interaction Enabled Topological Crystalline Phases
• Gapless edge states of BF field theory and translation-symmetric Z2 spin liquids
• Spin Berry phase in the Fermi arc states
• Disorder driven phase transitions in weak AIII topological insulators
• Embedded Topological Insulators
• Topological phase transitions at finite temperature
• Topologically-protected metallic states induced by a one-dimensional extended defect in a 2D topological insulator
• Projected Topological Branes
• Geometrical optics limit of phonon transport in a channel of disclinations
• Propagation of acoustic waves in a von-Kármán vortex street like configuration of disclinations
• Theory of Electron-Phonon-Dislon Interacting System - Toward a Quantized Theory of Dislocations
• Space group constraints on weak indices in topological insulators
• Impurity bound states as detectors of topological band structures revisited
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Time-reversal symmetric topological metal
• Thermoelectric transport of perfectly conducting channels in two- and three-dimensional topological insulators
• Influence of point defects on the electronic and topological properties of monolayer WTe${}_2$
• Topological effect on thermal conductivity in graphene
• Fermionic Hopf solitons and Berry's phase in topological surface superconductors
• Boundary edge networks induced by bulk topology
• Quantized Dislocations
• Topological Edge and Interface states at Bulk disorder-to-order Quantum Critical Points
• An angular frequency dependence on the Aharonov-Casher geometric phase
• Anomalous Quasiparticle Symmetries and Non-Abelian Defects on Symmetrically Gapped Surfaces of Weak Topological Insulators
• Three-dimensional non-Bosonic non-Fermionic quasiparticle through a quantized topological defect of crystal dislocation
• T-duality simplifies bulk-boundary correspondence: the noncommutative case
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Embedded Topological Semimetals
• Geometry defects in Bosonic symmetry protected topological phases
• Chern-Simons superconductors and their instabilities
• Line defects in Three dimensional Symmetry Protected Topological Phases
• Dislocation Majorana zero modes in perovskite oxide 2DEG
• Topological nature of step edge states on the surface of topological crystalline insulator Pb${}_{0.7}$Sn${}_{0.3}$Se
• A Comment On Berry Connections
• Graphene with wedge disclination in the presence of intrinsic and Rashba spin orbit couplings
• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• Hund nodal line semimetals: The case of twisted magnetic phase in the double-exchange model
• Anomalous localization at the boundary of an interacting topological insulator
• Ising anyonic topological phase of interacting Fermions in one dimension
• Geometric treatment of conduction electron scattering by crystal lattice strains and dislocations
• Spin polarized STM spectra of Dirac Fermions on the surface of a topological insulator
• Monopole topological resonators
• Topologically distinct atomic insulators
• Field-sensitive dislocation bound states in two-dimensional $d$-wave altermagnets
• Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
• $\pi$-fluxes, semi-metals and flat bands in artificial materials
• Growth and Properties of Dislocated Two-dimensional Layered Materials
• Confining electrons on a topological insulator surface using potentials and a magnetic field
• Bulk transport paths through defects in floating zone and Al flux grown SmB${}_6$
• Screw dislocations in the X-cube fracton model
• Anomalous geometric transport signatures of topological Euler class
• Persistent current due to a screw dislocation in Weyl semimetals: Role of one-dimensional chiral states
• Straining the Identity of Majorana Fermions
• Topological field-effect transistor with quantized ON/OFF conductance of helical/chiral dislocation states
• Delocalization of surface Dirac electrons in disordered weak topological insulators
• Majorana stripe order on the surface of a three-dimensional topological insulator
• Two-dimensional Dirac fermions in a mass superlattice
• Effective model for massless Dirac electrons on a surface of weak topological insulators
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Topological Wannier cycles for the bulk and edges
• Protection of the surface states in topological insulators: Berry phase perspective
• Penetration of nonquantized magnetic flux through a domain-wall bend in time-reversal symmetry broken superconductors
• Torsion effects on Condensed Matter: like a magnetic field but not so much
• Gate controlled Spin-Density Wave and Chiral FFLO Superconducting phases in interacting Quantum Spin Hall edge states
• The weak side of strong topological insulators
• Suppression of the Spectral Weight of Topological Surface States on the Nanoscale via Local Symmetry Breaking
• T-duality and the bulk-boundary correspondence
• The bulk-dislocation correspondence for weak topological insulators on screw-dislocated lattices
• Towards dislocation-driven quantum interconnects
• Delocalized spectra of Landau operators on helical surfaces
• Nontrivial gapless electronic states at the stacking faults of weak topological insulators
• Unconventional topological phase transition from semimetal to insulator in SnBi2Te4: Role of anomalous thermal expansion
• Emergent metallicity at the grain boundaries of higher-order topological insulators
• A-geometrical approach to Topological Insulators with defects
• Manipulating quantum channels in weak topological insulator nanoarchitectures
• Van der Waals Epitaxy on Freestanding Monolayer Graphene Membrane by MBE
• Microwave Meissner Screening of Proximity coupled Topological Insulator / Superconductor Bilayers
• Grain-boundary topological superconductor
• Topological Field Theories of Three-Dimensional Rotation Symmetric Insulators: Coupling Curvature and Electromagnetism
• Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking
• Regularized framework of a Weyl equation for describing a Weyl semimetal: Application to the case with a screw dislocation
• Dynamic melting and condensation of topological dislocation modes
• Floating topological phases
• Edge Spin fractionalization in one-dimensional spin-$S$ quantum antiferromagnets
• First observation of spin-helical Dirac fermions and topological phases in undoped and doped Bi2Te3 demonstrated by spin-ARPES spectroscopy
• Topologically trivial gap-filling in superconducting Fe(Se,Te) by one dimensional defects
• Topological magnonic dislocations modes
• Selective branching, quenching, and converting of topological modes
• Quantized crystalline-electromagnetic responses in insulators
• Observation of dislocation-induced topological modes in a three-dimensional acoustic topological insulator
• Topological Crystalline Metal in Orthorhombic Perovskite Iridates
• Distinct quasiparticle interference patterns for surface impurity scattering on various Weyl semimetals
• Hybrid symmetry class topological insulators
• Dephasing-Induced Stabilization of a Perfectly Conducting Channel in Disordered Graphene Nanoribbons with Zigzag Edges
• Dispersive nodal fermions along grain boundaries in Floquet topological crystals
• Fragile dislocation modes in obstructed atomic topological phases
• Crystalline topological defects within response theory
• Relativistic Quantum Dynamics on a Double Cone
• Ubiquitous Ideal Spin-Orbit Coupling in a Screw Dislocation in Semiconductors
• Quantum geometry, localization, and topological bounds of spin fluctuations
• Landau levels on a surface of weak topological insulators
• Weak topological insulators with step edges: Subband engineering and its effect on electron transport
• Symmetry-protected topological wire in a topological vacuum
• Topological properties of domain walls in antiferromagnetic topological insulators
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Bandgap closing at the screw dislocations of WS2 spirals
• Topological Dislocation Response in Elementary Semiconductors
• Intrinsic one-dimensional conducting channels in the Kondo insulator SmB6
• A Spinning Particle in a Mobius Strip
• Emergent One-Dimensional Helical Channel in Higher-Order Topological Insulators with Step Edges
• Designing atomic-scale resistive circuits in topological insulators through vacancy-induced localized modes