Oscillatory crossover from two dimensional to three dimensional topological insulators

Abstract

We investigate the crossover regime from three dimensional topological insulators $B{i}_{2}T{e}_3$ and $B{i}_{2}S{e}_3$ to two dimensional topological insulators with quantum spin Hall effect when the layer thickness is reduced. Using both analytical models and first-principles calculations, we find that the crossover occurs in an oscillatory fashion as a function of the layer thickness, alternating between topologically trivial and non-trivial two dimensional behavior.

5 pages, 3 figures; 3 added references, an added note

References in corpus (11)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Aharonov-Bohm interference in topological insulator nanoribbons
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Quintuple-layer epitaxy of high-quality Bi2Se3 thin films for topological insulator
• Anomalous Finite Size Effects on Surface States in the Topological Insulator Bi${}_2$Se${}_3$
• Helical edge and surface states in HgTe quantum wells and bulk insulators

Cited by in corpus (259)

• Topological insulators and superconductors
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Topological Insulator Materials
• Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBi${}_2$Te${}_4$
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Colloquium: Topological Band Theory
• Crossover of Three-Dimensional Topological Insulator of Bi2Se3 to the Two-Dimensional Limit
• Model Hamiltonian for Topological Insulators
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Spin Polarization and Transport of Surface States in the Topological Insulators Bi2Se3 and Bi2Te3 from First Principles
• Effective continuous model for surface states and thin films of three dimensional topological insulators
• Ambipolar Field Effect in Topological Insulator Nanoplates of (BixSb1-x)2Te3
• Well-localized edge states in two-dimensional topological insulators: ultrathin Bi films
• Manifestation of Topological Protection in Transport Properties of Epitaxial Bi2Se3 Thin Films
• Stable nontrivial Z2 topology in ultrathin Bi (111) films: a first-principles study
• Gate-tuned normal and superconducting transport at the surface of a topological insulator
• Imaging currents in HgTe quantum wells in the quantum spin Hall regime
• In-plane transport and enhanced thermoelectric performance in thin films of the topological insulators Bi_2Te_3 and Bi_2Se_3
• Electron interaction-driven insulating ground state in Bi2Se3 topological insulators in the two dimensional limit
• A sudden collapse in the transport lifetime across the topological phase transition in $(B{i}_{1-x}I{n}_x{)}_{2}S{e}_3$
• Ultra-low carrier concentration and surface dominant transport in Sb-doped Bi2Se3 topological insulator nanoribbons
• Topological insulators for high performance terahertz to infrared applications
• Landau quantization and the thickness limit of topological insulator thin films of Sb2Te3
• Weak localization of bulk channels in topological insulator thin film
• Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
• Quantum Anomalous Hall Effect with Higher Plateaus
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• Ultra-thin Topological Insulator Bi2Se3 Nanoribbons Exfoliated by Atomic Force Microscopy
• First Principles Investigations of the Atomic, Electronic, and Thermoelectric Properties of Equilibrium and Strained Bi2Se3 & Bi2Te3, with van der Waals Interactions
• Fingerprint of Different Spin-Orbit Terms for Spin Transport in HgTe Quantum Wells
• Insulating behavior in ultra-thin bismuth selenide field effect transistors
• Massive Dirac surface states in topological insulator/magnetic insulator heterostructures
• Topological Characters in Fe(Te${}_{1-x}$Se${}_x$) thin films
• Rational design principles of quantum anomalous Hall effect from superlattice-like magnetic topological insulators
• Majorana bound states without vortices in topological superconductors with electrostatic defects
• Robustness of topologically protected surface states in layering of Bi2Te3 thin films
• Quantum transport and two-parameter scaling at the surface of a weak topological insulator
• Transport in three-dimensional topological insulators: theory and experiment
• Observation of Quantum-Tunneling Modulated Spin Texture in Ultrathin Topological Insulator Bi2Se3 Films
• Graphene-based topological insulator with an intrinsic bulk band gap above room temperature
• Artificial gravity field, astrophysical analogues, and topological phase transitions in strained topological semimetals
• Quasiparticle Effects in the Bulk and Surface-State Bands of Bi2Se3 and Bi2Te3 Topological Insulators
• Interplay between Superconductivity and Ferromagnetism on a Topological Insulator
• Topological states in two-dimensional optical lattices
• Thermoelectric properties of Bi2Te3 atomic quintuple thin films
• Concurrence of Quantum Anomalous Hall and Topological Hall Effects in Magnetic Topological Insulator Sandwich Heterostructures
• Emergent topological phenomena in thin films of pyrochlore iridates
• Ultrafast Terahertz Conductivity Probes of Topologically Enhanced Surface Transport Driven by Mid-Infrared Laser Pulses in Bi${}_2$Se${}_3$
• Observation of Anderson localization in ultrathin films of three-dimensional topological insulators
• Spatially resolved study of backscattering in the quantum spin Hall state
• Quantum oscillations and Berry's phase in topological insulator surface states with broken particle-hole symmetry
• Electric control of topological phase transitions in Dirac semimetal thin films
• Manipulation of Topological States and Bulk Band Gap Using Natural Heterostructures of a Topological Insulator
• Scaling of the Quantum Anomalous Hall Effect as an Indicator of Axion Electrodynamics
• Surface spectral function in the superconducting state of a topological insulator
• Parallel magnetic field driven quantum phase transition in a thin topological insulator film
• Electron-phonon scattering in topological insulator thin films
• Electrically Tunable Magnetism in Magnetic Topological Insulators
• Electric Field Tuning of the Surface Band Structure of Topological Insulator Sb2Te3 Thin Films
• Persistence of two-dimensional topological insulator state in wide HgTe quantum well
• Magnetic properties of HgTe quantum wells
• A study on correlation effects in two dimensional topological insulators
• Quantum Transport in Magnetic Topological Insulator Thin Films
• Crossover of Ising- to Rashba-Type Superconductivity in Epitaxial Bi2Se3/Monolayer NbSe2 Heterostructures
• Thin topological insulator film in a perpendicular magnetic field
• Probing the helical edge states of a topological insulator by Cooper-pair injection
• Fabrication and Characterization of Topological Insulator Bi${}_2$Se${}_3$ Nanocrystals
• Bound states and persistent currents in topological insulator rings
• Overcoming Boltzmann's Tyranny in a Transistor via the Topological Quantum Field Effect
• Finite-size effects in non-Hermitian topological systems
• Helical Dirac-Majorana interferometer in a superconductor-topological insulator sandwich structure
• Engineering three-dimensional topological insulators in Rashba-type spin-orbit coupled heterostructures
• Proposal for an all-electrical measurement of crossed Andreev reflection in topological insulators
• Spin-charge separation of plasmonic excitations in thin topological insulators
• Finite-size-effect-induced topological phase transition in a topological crystalline insulator
• Spintronics and spincaloritronics in topological insulators
• Topological insulator quantum dot with tunable barriers
• Charge-spin duality in non-equilibrium transport of helical liquids
• Quantum Anomalous Hall Effect in Magnetic Doped Topological Insulators and Ferromagnetic Spin-Gapless Semiconductors -- A Perspective Review
• Two-Dimensional Dirac Fermions in Thin Films of Cd3As2
• Transverse magnetic heat transport on the topological surface
• Two-dimensional topological insulator state in cadmium arsenide thin films
• Relativistic k.p Hamiltonians for centrosymmetric topological insulators from ab initio wave functions
• Experimental evidence and control of the bulk-mediated intersurface coupling in topological insulator Bi2Te2Se nanoribbons
• Topological surface states of Bi2Se3 with the coexistence of Se vacancies
• Electronic States of Wires and Slabs of Topological Insulators: Quantum Hall Effects and Edge Transport
• Effect of Rashba splitting on RKKY interaction in topological insulator thin films
• Electrically Tunable Quantum Spin Hall State in Topological Crystalline Insulator Thin films
• Time-induced second-order topological superconductors
• Intrinsic topological phases in Mn${}_2$Bi${}_2$Te${}_5$ tuned by the layer magnetization
• Electrical Contact between an Ultrathin Topological Dirac Semimetal and a Two-Dimensional Material
• Unconventional Planar Hall Effect in Exchange-Coupled Topological Insulator-Ferromagnetic Insulator Heterostructures
• Floquet Second Order Topological Superconductor based on Unconventional Pairing
• Probing the wavefunction of the surface states in Bi${}_2$Se${}_3$ topological insulator: a realistic tight-binding approach
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
• Axion Insulator State in a Ferromagnet/Topological Insulator/Antiferromagnet Heterostructure
• Gas Doping on the Topological Insulator Bi2Se3 Surface
• Topological, Valleytronic, and Optical Properties of Monolayer PbS
• Scanning Tunneling Microscopy of Gate Tunable Topological Insulator Bi2Se3 Thin Films
• Off-resonant polarized light-controlled thermoelectric transport in ultrathin topological insulators
• PbTe/PbSnTe heterostructures as analogs of topological insulators
• Tunable dynamical magnetoelectric effect in antiferromagnetic topological insulator MnBi${}_2$Te${}_4$ films
• Dimensional Crossover and Topological Phase Transition in Dirac Semimetal Na3Bi Films
• Scaling Behavior of the Quantum Phase Transition from a Quantum Anomalous Hall Insulator to an Axion Insulator
• Proximity Enhanced Quantum Spin Hall State in Graphene
• Optical evidence of blue shift in topological insulator bismuth selenide in the few-layer limit
• Plasmon-enhanced electron-phonon coupling in Dirac surface states of the thin-film topological insulator Bi2Se3
• Tuning insulator-semimetal transitions in 3D topological insulator thin films by inter-surface hybridization and in-plane magnetic fields
• Dimensional crossover and cold-atom realization of topological Mott insulators
• Three-dimensional topological insulators: A review on host materials
• Heterostructures of graphene and topological insulators Bi${}_2$Se${}_3$, Bi${}_2$Te${}_3$, and Sb${}_2$Te${}_3$
• Topological Anderson insulator phase in a Dirac-semimetal thin film
• Anomalous Floquet Chiral Topological Superconductivity in a Topological Insulator Sandwich Structure
• Optical properties of magnetically doped ultra-thin topological insulator slabs
• Dimensional crossover and topological nature of the thin films of a three-dimensional topological insulator by band gap engineering
• Light-induced phase crossovers in a quantum spin Hall system
• Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator
• Quantized and half-quantized Anomalous Hall effect induced by in-plane magnetic field
• Negative differential resistance and characteristic nonlinear electromagnetic response of a Topological Insulator
• Dirac cone engineering in Bi${}_2$Se${}_3$ thin films
• Calculation of divergent photon absorption in ultrathin films of a topological insulator
• Tailoring the topological surface state in ultrathin $\alpha$-Sn (111) films
• Specular Andreev reflection in thin films of topological insulators
• Single and bilayer graphene on the topological insulator Bi${}_2$Se${}_3$: Electronic and spin-orbit properties from first principles
• Light-induced topological phases in thin films of magnetically doped topological insulators
• Electronic properties of SnTe-class topological crystalline insulator materials
• First Principles Modeling of Topological Insulators: Structural Optimization and Exchange Correlation Functionals
• Landau level states on a topological insulator thin film
• Impurity scattering on the surface of topological insulator thin films
• Signatures of long-range-correlated disorder in the magnetotransport of ultrathin topological insulators
• Spherical topological-insulator nanoparticles: Quantum size effects and optical transitions
• Conductivity of two-dimensional narrow gap semiconductors subjected to strong Coulomb disorder
• Quantum spin Hall insulators in centrosymmetric thin films composed from topologically trivial BiTeI trilayers
• Robustness of Topological Superconductivity in Proximity-Coupled Topological Insulator Nanoribbons
• Quantum Transport and Potential of Topological States for Thermoelectricity in Bi${}_2$Te${}_3$ Thin Films
• Magnetic-field-induced topological phase transition in Fe-doped (Bi,Sb)${}_2$Se${}_3$ heterostructures
• Evolution of the topologically protected surface states in superconductor $\beta$-Bi${}_2$Pd from the three-dimensional to the two-dimensional limit
• Signature of the topological surface state in the thermoelectric properties of Bi${}_2$Te${}_3$
• Continuum Theory of Edge States of Topological Insulators: Variational Principle and Boundary Conditions
• Dimensional crossover of transport characteristics in topological insulator nanofilms
• Topological phase transition and two dimensional topological insulators in Ge-based thin films
• Effect of magnetic field on a magnetic topological insulator film with structural inversion asymmetry
• Quantum capacitance of an ultrathin topological insulator film in a magnetic field
• One-dimensional topological insulator: a model for studying finite-size effects in topological insulator thin films
• Comparative study of Weyl semimetal, topological and Chern insulators: thin-film point of view
• Thermoelectric calculations of ring-shaped bands in two-dimensional Bi${}_2$Te${}_3$, Bi${}_2$Se${}_3$ and Sb${}_2$Te${}_3$: a comparison of simple scattering approximations
• Engineering of topological phases in driven thin topological insulator: Structure inversion asymmetry effect
• Finite Size Effects of the Surface States in a Lattice Model of Topological Insulator
• Optical responses and optical activity of ultrathin films of topological insulator
• Screening, Friedel oscillations and low-temperature conductivity in topological insulator thin films
• Engineering the in-plane anomalous Hall effect in Cd${}_3$As${}_2$ thin films
• Symmetry analysis of strain, electric and magnetic fields in the ${\text{Bi}}_2{\text{Se}}_3$-class of topological insulators
• Engineering Quantum Spin Hall Effect in Graphene Nanoribbons via Edge Functionalization
• Electric coupling in scanning SQUID measurements
• Observation of chiral currents at the magnetic domain boundary of a topological insulator
• Opening Band Gap without Breaking Lattice Symmetry: A New Route toward Robust Graphene-Based Nanoelectronics
• Optical Conductivity of Topological Insulator Thin Films in a Quantizing Magnetic Field
• Highly Tunable Spin-Orbit Torque and Anisotropic Magnetoresistance in a Topological Insulator Thin Film Attached to Ferromagnetic Layer
• Signatures of topology in ballistic bulk transport of HgTe quantum wells
• Dirac fermions at high-index surfaces of bismuth chalcogenide topological insulator nanostructures
• Topologically Invariant Double Dirac States in Bismuth based Perovskites: Consequence of Ambivalent Charge States and Covalent Bonding
• Surface states and local spin susceptibility in doped three-dimensional topological insulators with odd-parity superconducting pairing symmetry
• Topological phase transition and quantum spin Hall state in TlBiS${}_2$
• Topological insulator ribbon: Surface states and dynamical response
• Dimensional evolution between one- and two-dimensional topological phases
• Josephson Effect and Charge Distribution in Thin Bi${}_2$Te${}_3$ Topological Insulators
• Andreev spectroscopy of doped HgTe quantum wells
• Dirac quantum well engineering on the surface of topological insulator
• Transversal Propagation Behaviors of Helical Edge States In a QSH System
• Disorder-induced phase transition in Dirac systems beyond the linear approximation
• ${\mathbb{Z}}_2$-Nontrivial Moiré Minibands and Interaction-Driven Quantum Anomalous Hall Insulators in Topological Insulator Based Moiré Heterostructures
• Interplay of bulk and edge states in transport of two-dimensional topological insulators
• Majorana fermions manifested as interface-states in semiconductor hybrid structures
• Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators
• Optimizing Topological Switching in Confined 2D-Xene Nanoribbons via Finite-Size Effects
• Electron-Hole Asymmetry of Surface States in Topological Insulator Sb2Te3 Thin Films Revealed by Magneto-Infrared Spectroscopy
• Spin Conduction in Anisotropic 3-D Topological Insulators
• Integer quantum Hall effect and enhanced g-factor in quantum confined Cd3As2 films
• Geometric dependence of Nb-Bi${}_2$Te${}_3$-Nb topological Josephson junction transport parameters
• Growth of Ultrathin Bi${}_2$Se${}_3$ Films by Molecular Beam Epitaxy
• Gapped Dirac cones and spin texture in thin film topological insulator
• Manipulating topological-insulator properties using quantum confinement
• Emergent Momentum-Space Skyrmion Texture on the Surface of Topological Insulators
• Effect of surface state hybridization on current-induced spin-orbit torque in thin topological insulator films
• Coherent surface-to-bulk vibrational coupling in the 2D topologically trivial insulator Bi2Se3 monitored by ultrafast transient absorption spectroscopy
• Topological Phase Transitions Induced by Disorder in Magnetically Doped (Bi, Sb)${}_2$Te${}_3$ Thin Films
• Nonlinear Magneto-Optical and Magnetoelectric Phenomena in Topological Insulator Heterostructures
• Interacting weak topological insulators and their transition to Dirac semimetal phases
• Stacking-dependent energetics and electronic structure of ultrathin polymorphic V${}_2$VI${}_3$ topological insulator nanofilms
• Probing edge state conductance in ultra-thin topological insulator films
• Finite-size effects in cylindrical topological insulators
• Band structure of topological insulators from noise measurements in tunnel junctions
• A Dirac-fermion approach and its application to design high Chern numbers in magnetic topological insulator multilayers
• Dirac electrons in quantum rings
• Temperature-dependent many-body effects in Dirac-Weyl materials: Interacting compressibility and quasiparticle velocity
• Conductivity of two-dimensional small gap semiconductors and topological insulators in strong Coulomb disorder
• `Holographic' treatment of surface disorder on a topological insulator
• Revealing topological Dirac fermions at the surface of strained HgTe thin films via Quantum Hall transport spectroscopy
• Resonant magneto-optic Kerr effect in the magnetic topological insulator Cr:(Sb${}_x$,Bi${}_{1-x}$)${}_2$Te${}_3$
• Magneto-optical properties of topological insulator thin films with broken inversion symmetry
• Majorana corner modes and flat-band Majorana edge modes in superconductor/topological-insulator/superconductor junctions
• Effect of surface hybridization on RKKY coupling in ferromagnet/topological insulator/ferromagnet trilayer system
• Effects of self-consistent extended Hubbard interactions and spin-orbit couplings on energy bands of semiconductors and topological insulators
• Effective Hamiltonian for surface states of topological insulator nanotubes
• Tuning topology in thin films of topological insulators by strain gradients
• Theory for Cd${}_3$As${}_2$ thin films in the presence of magnetic fields
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Universally optimizable strategy for magnetic gaps towards high-temperature quantum anomalous Hall states via magnetic-insulator/topological-insulator building-blocks
• Spontaneous ferromagnetism and finite surface energy gap in the topological insulator Bi${}_2$Se${}_3$ from surface Bi$_\rm{Se}$ antisite defects
• Observation of the Critical State to Multiple-Type Dirac Semimetal Phases in KMgBi
• Engineering chiral edge states in 2D topological insulator/ferromagnetic insulator heterostructures
• Measuring the Chern number with quantum oscillations
• Thermoelectric properties of an ultra-thin topological insulator
• Low-energy modeling of three-dimensional topological insulator nanostructures
• Tunable polarization in beam-splitter based on 2D topological insulators
• Three-Dimensional Quantum Anomalous Hall Effect in Magnetic Topological Insulator Trilayers of Hundred-Nanometer Thickness
• Effect of Perturbative Hexagonal Warping on Quantum Capacitance in Ultra-Thin Topological Insulators
• Higher-order topological superconductor phases in a multilayer system
• Symmetry, topology, and geometry: The many faces of the topological magnetoelectric effect
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Effect of chiral selective tunneling on quantum transport in magnetic topological-insulator thin films
• Chiral edge state coupling theory of transport in quantum anomalous Hall insulators
• Dissipative Edge Transport in Disordered Axion Insulator Films
• Spectroscopic signature of surface states and bunching of bulk subbands in topological insulator (Bi${}_{0.4}$Sb${}_{0.6}$)${}_2$Te${}_3$ thin films
• Numerical analysis of surface and edge states in slabs, stripes, rods and surface steps of topological insulators
• Direct Transition Resonance in Atomically Uniform Topological Sb(111) Thin Films
• Entanglement entropy and entanglement spectrum of Bi${}_{1-x}$Sb${}_x$ (111) bilayers
• Adiabatic approximation for a uniform DC electric field
• Quantum Capacitance of a Topological Insulator-Ferromagnet Interface
• Light-induced switch based on edge modes in irradiated thin topological insulators
• Zitterbewegung-mediated RKKY coupling in topological insulator thin films
• Tunneling between helical Majorana modes and helical Luttinger liquids
• Modification of the hybridization gap by twisted stacking of quintuple layers in a three dimensional topological insulator thin film
• Spin accumulation in disordered topological insulator thin films
• Time-dependent driving and topological protection in the fractional Josephson effect
• Edge bands and vertical transport in topological insulator/magnetic insulator heterostructures
• Topological phase transition from periodic edge states in moiré superlattices
• Preservation of Topological Surface States in Millimeter-Scale Transferred Membranes
• Artificial oxide heterostructures with non-trivial topology
• Surface Reconstructions in Thin-Films of Magnetic Topological Insulator MnBi${}_2$Te${}_4$
• Quasiparticle scattering in three-dimensional topological insulators near the thickness limit
• Direct visualization of edge state in even-layer MnBi2Te4 at zero magnetic field
• Entropy Driven Inductive Response of Topological Insulators
• Enhancement of Curie Temperature in Ferromagnetic Insulator-Topological Insulator Heterostructures
• Visualizing the in-gap states in domain boundaries of ultra-thin topological insulator films
• Accurate polymorphous description of the paramagnetic phases in MnBi${}_2$Te${}_4$
• Charge qubits based on ultra-thin topological insulator films
• Anisotropic Quantum Confinement Effect and Electric Control of Surface States in Dirac Semimetal Nanostructures
• Dimensional crossover of class D real-space topological invariants
• Revealing electrically undetectable room temperature surface-mobility of bulky topological insulators by spectroscopic techniques
• Lifting the spin-momentum locking in ultra-thin topological insulator films
• Engineering stacking-induced topological phase transitions in bilayer heterostructures
• Electronic confinement of surface states in a topological insulator nanowire
• Efficient prediction of topological superlattice bands with spin-orbit coupling
• Non-unique connection between bulk topological invariants and surface physics