Surface States of Topological Insulators

Abstract

We develop an effective bulk model with a topological boundary condition to study the surface states of topological insulators. We find that the Dirac point energy, the band curvature and the spin texture of surface states are crystal face-dependent. For a given face on a sphere, the Dirac point energy is determined by the bulk physics that breaks p-h symmetry in the surface normal direction and is tunable by surface potentials that preserve T symmetry. Constant energy contours near the Dirac point are ellipses with spin textures that are helical on the S/N pole, collapsed to one dimension on any side face, and tilted out-of-plane otherwise. Our findings identify a route to engineering the Dirac point physics on the surfaces of real materials.

4.1 pages, 2 figures and 1 table

References in corpus (7)

• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Topological Crystalline Insulators in the SnTe Material Class
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Bulk Band Gap and Surface State Conduction Observed in Voltage-Tuned Crystals of the Topological Insulator Bi${}_2$Se${}_3$
• Surface State Transport and Ambipolar Electric Field Effect in Bi2Se3 Nanodevices

Cited by in corpus (105)

• Magnetic modulation doping in topological insulators toward higher-temperature quantum anomalous Hall effect
• Two-dimensional second-order topological insulator in graphdiyne
• Dirac and Weyl Superconductors in Three Dimensions
• Emergent quantum confinement at topological insulator surfaces
• Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• A sudden collapse in the transport lifetime across the topological phase transition in $(B{i}_{1-x}I{n}_x{)}_{2}S{e}_3$
• Crystal Structure and Chemistry of Topological Insulators
• Surface States of Topological Crystalline Insulators in IV-VI Semiconductors
• Topological Mirror Superconductivity
• Topological Materials Discovery from Crystal Symmetry
• Helical Hinge Majoranas in Iron-Based Superconductors
• Room-temperature quantum spin Hall edge state in a higher-order topological insulator Bi${}_4$Br${}_4$
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• The topological-crystalline-insulator (Pb,Sn)Te - surface states and their spin-polarization
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Floquet interface states in illuminated three-dimensional topological insulators
• Superconductivity of disordered Dirac fermions
• Volkov-Pankratov states in topological heterojunctions
• Anomalous Topological Pumps and Fractional Josephson Effects
• Nanowires: A route to efficient thermoelectric devices
• Singular robust room-temperature spin response from topological Dirac fermions
• Metallic Interface Emerging at Magnetic Domain Wall of Antiferromagnetic Insulator---Fate of Extinct Weyl Electrons
• Surface Theory of a Family of Topological Kondo Insulators
• Antidamping spin-orbit torque driven by spin-flip reflection mechanism on the surface of a topological insulator: A time-dependent nonequilibrium Green function approach
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Electronic bulk and domain wall properties in B-site doped hexagonal ErMnO${}_3$
• Relativistic k.p Hamiltonians for centrosymmetric topological insulators from ab initio wave functions
• Models of Superconducting Cu:Bi2Se3: single versus two-band description
• Spin-Seebeck effect on the surface of topological insulator due to nonequilibrium spin-polarization parallel to the direction of thermally driven electronic transport
• SU(3) Quantum Hall Ferromagnetism in SnTe
• $(111)$ surface states of SnTe
• Discovery of a hybrid topological quantum state in an elemental solid
• Driven quantum many-body systems and out-of-equilibrium topology
• Sliding Ferroelectrics Induced Hybrid-Order Topological Phase Transitions
• Tailoring the topological surface state in ultrathin $\alpha$-Sn (111) films
• Topological phases of topological insulator thin films
• Direct observation of decoupled Dirac states at the interface between topological and normal insulators
• Third-order Hall effect in the surface states of a topological insulator
• Edge states of a three-dimensional topological insulator
• Quantum Hall Edge States in Topological Insulator Nanoribbons
• Quantum spin Hall insulators in centrosymmetric thin films composed from topologically trivial BiTeI trilayers
• Transport across a junction of topological insulators and a superconductor
• Interaction and disorder effects in 3D topological insulator thin films
• Skyrmion-induced anomalous Hall conductivity on topological insulator surfaces
• Importance of van der Waals interactions for ab initio studies of topological insulators
• Interface symmetry and spin control in topological insulator-semiconductor heterostructures
• Tunable unconventional Kondo effect on topological insulator surfaces
• Chemical Potential Fluctuations in Topological Insulator (Bi${}_{0.5}$Sb${}_{0.5}$)${}_2$Te${}_3$ Films Visualized by Photocurrent Spectroscopy
• Topological Effects on the Magnetoconductivity in Topological Insulators
• Dirac fermions at high-index surfaces of bismuth chalcogenide topological insulator nanostructures
• Topological Number of Edge States
• Interlayer RKKY Coupling in Bulk Rashba Semiconductors under Topological Phase Transition
• Dirac quantum well engineering on the surface of topological insulator
• Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators
• Band tilt induced nonlinear Nernst effect in topological insulators: An efficient generation of high-performance spin polarization
• Josephson effect in normal and ferromagnetic topological insulator planar, step and edge junctions
• Manipulating topological-insulator properties using quantum confinement
• Gapped Dirac cones and spin texture in thin film topological insulator
• Dynamical density and spin response of Fermi arcs and their consequences for Weyl semimetals
• Edelstein and inverse Edelstein effects caused by the pristine surface states of topological insulators
• Floquet engineering of Dirac cones on the surface of a topological insulator
• Confining electrons on a topological insulator surface using potentials and a magnetic field
• Electron Correlation Effects on Topological Phases
• Persistence of symmetry-protected Dirac points at the surface of the topological crystalline insulator SnTe upon impurity doping
• Quasi-One-Dimensional Higher-Order Topological Insulators
• Floquet-driven indirect exchange interaction mediated by topological insulator surface states
• Spin field-effect transistor in a quantum spin-Hall device
• Conductance of gated junctions as a probe of topological interface states
• Geometrically induced reversion of Hall current in a topological insulator cavity
• Jackiw-Rebbi zero modes in non-uniform topological insulator nanowire
• Controlling edge states in the Kane-Mele model via edge chirality
• Fragility of the Dirac Cone Splitting in Topological Crystalline Insulator Heterostructures
• Effective spin dephasing mechanism in confined two-dimensional topological insulators
• Transport in Selectively Magnetically Doped Topological Insulator Wires
• Size and host-medium effects on topologically protected surface states in bi-anisotropic 3D optical waveguides
• Andreev spectroscopy of nonhelical spin textures in topological insulators
• Topologically protected flatness in chiral moiré heterostructures
• Transport in a thin topological insulator with potential and magnetic barriers
• Field induced charge symmetry in topological insulator Bi${}_2$Te${}_3$ revealed by nuclear magnetic resonance
• Transport signatures of surface potentials on three-dimensional topological insulators
• Probing surface states exposed by crystal terminations at arbitrary orientations of three-dimensional topological insulators
• Edge modes and Fabry-Perot Plasmonic Resonances in anomalous-Hall Thin Films
• Inducing anisotropies in Dirac fermions by periodic driving
• Berry phases and zero-modes in toroidal topological insulator
• Resistively detected NMR as a probe of the topological nature of conducting edge/surface states
• Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well
• Pseudospin-valve effect on transport in junctions of three-dimensional topological insulator surfaces
• Topologically protected states in $\delta$-doped junctions with band inversion
• Fabry-Perot interferometry in Weyl semi-metals
• Robust midgap states in band-inverted junctions under electric and magnetic fields
• Hinge Majorana Flat Band in Type-II Dirac Semimetals
• Aharonov-Bohm oscillations caused by non-topological surface states in Dirac nanowires
• Finite-Size Effects in the Dynamic Conductivity and Faraday Effect of Quantum Anomalous Hall Insulators
• Direct visualization of edge state in even-layer MnBi2Te4 at zero magnetic field
• Topological interface states -- a possible path towards a Landau-level laser in the THz regime
• Edge bands and vertical transport in topological insulator/magnetic insulator heterostructures
• Gate-controlled Spin Extraction from Topological Insulator Surfaces
• Exact lattice-model calculation of boundary modes for Weyl semimetals and graphene
• Hinge modes of three-dimensional Euler insulators
• Hearing the shape of a Dirac drum: Dual quantum Hall states on curved surfaces
• Surface states of gapped electron systems and semi-metals
• Current response of a topological insulator to a static Zeeman field
• Local density of state oscillations in laterally heterostructured topological insulator-semiconductor systems
• High conductivity from cross-band electron pairing in flat-band systems