Topological Insulator Materials
2013/04/30 by Yoichi Ando · 1,704 citations
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Chemical and Physical Properties of Materials #Dirac (video compression format) #Insulator (electricity) #Quantum #Surface (topology) #Surface states #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.mtrl-sci #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.7566/jpsj.82.102001
published in Journal of the Physical Society of Japan 82(10), 102001 (Physical Society of Japan) · 36 pages, 19 figures, 300 references; invited review paper published in J. Phys. Soc. Jpn. (free access); final version with further error corrections
arxiv created 2013/09/03 · arxiv updated 2013/09/04 · openalex publication_date 2013/09/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract
Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on topological insulator materials with an emphasis on basic theory and materials properties. After presenting a historical perspective and basic theories of topological insulators, it discusses all the topological insulator materials discovered as of May 2013, with some illustrative descriptions of the developments in materials discoveries in which the author was involved. A summary is given for possible ways to confirm the topological nature in a candidate material. Various synthesis techniques as well as the defect chemistry that are important for realizing bulk-insulating samples are discussed. Characteristic properties of topological insulators are discussed with an emphasis on transport properties. In particular, the Dirac fermion physics and the resulting peculiar quantum oscillation patterns are discussed in detail. It is emphasized that proper analyses of quantum oscillations make it possible to unambiguously identify surface Dirac fermions through transport measurements. The prospects of topological insulator materials for elucidating novel quantum phenomena that await discovery conclude the review.
Citations
Cited by
- Topological superconductors: a review
- Classification of topological quantum matter with symmetries
- Fermiology of the kagome compound LuNb6Sn6 probed by de Haas-van Alphen oscillations
- Mesoscopic scattering dynamics under generic uniform SU(2) gauge fields: Spin-momentum relaxation and coherent backscattering
- Magnetoconductance evolution across the topological-trivial phase transition in Inx(Bi0.3Sb0.7)2-xTe3 thin films
- Topological-Insulator and Spintronic Boundary Electrodynamics for MRI RF Coils: A Theoretical Framework for Loss, Noise, and Reciprocity
- Probing Boundary Spins in the Su-Schrieffer-Heeger-Hubbard model
- Photoinduced topological phase transition in monolayer 1T^′-MoS2
- Splitting obstructions and ℤ2 invariants in time-reversal symmetric topological insulators
- Quasi-linear magnetoresistance and paramagnetic singularity in Hypervalent Bismuthide
- Giant Bulk-Rashba Splitting in Polar Topological Insulator BiSbTeSe2
- Unveiling Local Optical Properties Using Nanoimaging Phase Mapping in High-Index Topological Insulator Bi2Se3 Resonant Nanostructures
- Improving neural network performance for solving quantum sign structure
- Constructing qubit edge states by inverse-designing the electromagnetic environment
- Anisotropy of the chiral, semiconducting phase LaRhC2: a handedness resolved study
- Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes
- Elemental Frequency-Based Supervised Classification Approach for the Search of Novel Topological Materials
- Coherent Transport in Two-Dimensional Disordered Potentials under Spatially Uniform SU(2) Gauge Fields
- Band Meandering due to Charged Impurity Effects and Carrier Transport in Ternary Topological Insulators
- Promoted current-induced spin polarization in inversion symmetry broken topological insulator thin films
- Composite quantum geometry of superconductors
- Topological photonics of generalized and nonlinear eigenvalue equations
- Topological Insulator Particles As Optically Induced Oscillators: Toward Dynamical Force Measurements and Optical Rheology
- Fidelity and Uhlmann connection analysis of topological phase transitions in two dimensions
- Topological electronic bands in crystalline solids
- Effective field theory for the bulk-edge correspondence in a two-dimensionalZ2topological insulator with Rashba interactions
- Proximity-induced supercurrent through topological insulator based nanowires for quantum computation studies
- Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
- Intrinsically core-shell plasmonic dielectric nanostructures with ultrahigh refractive index
- Exact analytical edge states in the extended Su-Schrieffer-Heeger model
- Robust topological surface state in Kondo insulator SmB6 thin films
- Electrical Detection of the Spin Polarization Due to Charge Flow in the Surface State of the Topological Insulator Bi1.5Sb0.5Te1.7Se1.3
- Dirac fermions and superconductivity in the homologous structures(AgxPb1−xSe)5(Bi2Se3)3m(m=1,2)
- 2 step of conductance fluctuations due to the broken time-reversal symmetry in bulk-insulating BiSbTeSe2 devices
- Shubnikov - de Haas oscillations, weak antilocalization effect and large linear magnetoresistance in the putative topological superconductor LuPdBi
- Marginally localized edges of time-reversal symmetric topological superconductors
- Symmetry-enforced band nodes in 230 space groups
- Finite-size effects in cylindrical topological insulators
- Dual topological insulator device with disorder robustness
- Magnetotransport of single crystalline YSb
- Solution to the Hole-Doping Problem and Tunable Quantum Hall Effect in Bi2Se3 Thin Films
- Impact of ultrafast transport on the high-energy states of a photoexcited topological insulator
- Quantum Hall effect of Weyl fermions in n-type semiconducting tellurene
- Engineering chiral edge states in two-dimensional topological insulator/ferromagnetic insulator heterostructures
- Observation of unusual topological surface states in half-Heusler compounds LnPtBi (Ln=Lu, Y)
- Pressure-Driven Topological Phase Transition in the Yb Chalcogenides YbO and YbS
- Diagnosing a strong topological insulator by quantum oscillations
- Evidence of Topological Nodal-Line Fermions in ZrSiSe and ZrSiTe
- Dynamical gap generation in topological insulators
- Coulomb drag in topological materials
- Universal scaling for the spin-electricity conversion on surface states of topological insulators
- Quantum Simulation for Three-Dimensional Chiral Topological Insulator
- Anomalous photo-thermal effects in multi-layered semi-Dirac black phosphorus
- Possible experimental realization of a basic Z2 topological semimetal in GaGeTe
- Finite-size effects in non-Hermitian topological systems
- First-principles feasibility assessment of a topological insulator at the InAs/GaSb interface
- Inducing a many-body topological state of matter through Coulomb-engineered local interactions
- Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
- Phase transition and anomalous scaling in the quantum Hall transport of topological-insulator Sn−Bi1.1Sb0.9Te2S devices
- Probing the Fermi surface of three-dimensional Dirac semimetalCd3As2through the de Haas–van Alphen technique
- Magnetic order on a topological insulator surface with warping and proximity-induced superconductivity
- Electrical manipulation of a topological antiferromagnetic state
- Band splitting and Weyl nodes in trigonal tellurium studied by angle-resolved photoemission spectroscopy and density functional theory
- Indium Substitution Effect on the Topological Crystalline Insulator Family (Pb1−xSnx)1−yInyTe: Topological and Superconducting Properties
- Surface state transport in double-gated and magnetized topological insulators with hexagonal warping effects
- A weak topological insulator state in quasi-one-dimensional bismuth iodide
- Gapped Dirac cones and spin texture in thin film topological insulator
- Invariance of Topological Indices Under Hilbert Space Truncation
- Resistivity plateau and extreme magnetoresistance in LaSb
- Weak antilocalization effect due to topological surface states in Bi2Se2.1Te0.9
- Magnetization of the metallic surface states in topological insulators
- Probing Quantum Capacitance in a 3D Topological Insulator
- Optical properties of magnetically doped ultrathin topological insulator slabs
- Majorana Fermions and Topology in Superconductors
- Field-induced charge symmetry revealed by nuclear magnetic resonance in the topological insulator Bi2Te3
- Anisotropic Magnetic Responses of Topological Crystalline Superconductors
- Spin mixing between subbands and extraordinary Landau-level shift in wide HgTe quantum wells
- Pressure-induced phase transition in Bi2Se3at 3 GPa: electronic topological transition or not?
- Thermal conductivity of local moment models with strong spin-orbit coupling
- Nontrivial Berry phase in magnetic BaMnSb 2 semimetal
- Antiferromagnetism and superconductivity in the half-Heusler semimetal HoPdBi
- Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator
- Topologically nontrivial phase in the hexagonal antiperovskites A3BiB (A=Ba,Sr; B=P,N)
- Vapour-liquid-solid growth of ternary Bi2Se2Te nanowires. [europepmc]
- Shubnikov-de Haas oscillations, weak antilocalization effect and large linear magnetoresistance in the putative topological superconductor LuPdBi. [europepmc]
- Antiferromagnetism and superconductivity in the half-Heusler semimetal HoPdBi. [europepmc]
- Electronic and optical properties of topological semimetal Cd 3 As 2 . [europepmc]
- Thickness-dependent conductance in Sb 2 SeTe 2 topological insulator nanosheets. [europepmc]
- Topological delocalization and tuning of surface channel separation in Bi 2 Se 2 Te Topological Insulator Thin films. [europepmc]
- Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions. [europepmc]
- Planar Hall effect from the surface of topological insulators. [europepmc]
- Spin Hall photoconductance in a three-dimensional topological insulator at room temperature. [europepmc]
- Three-Dimensional Anisotropic Magnetoresistance in the Dirac Node-Line Material ZrSiSe. [europepmc]
- Galvanomagnetic properties of the putative type-II Dirac semimetal PtTe 2 . [europepmc]
- A possible candidate for triply degenerate point fermions in trigonal layered PtBi 2 . [europepmc]
- Proximity-induced supercurrent through topological insulator based nanowires for quantum computation studies. [europepmc]
- Helium-Surface Interaction and Electronic Corrugation of Bi 2 Se 3 (111). [europepmc]
- Infrared dielectric metamaterials from high refractive index chalcogenides. [europepmc]
- Gate-tunable spin-galvanic effect in graphene-topological insulator van der Waals heterostructures at room temperature. [europepmc]
- Exceptional non-Hermitian topological edge mode and its application to active matter. [europepmc]
- Anomalous transport due to Weyl fermions in the chiral antiferromagnets Mn 3 X, X = Sn, Ge. [europepmc]
- Quantum confinement of the Dirac surface states in topological-insulator nanowires. [europepmc]
- Magnetic field-induced non-linear transport in HfTe 5 . [europepmc]
- Selective Area Epitaxy of Quasi-1-Dimensional Topological Nanostructures and Networks. [europepmc]
- Strong room-temperature bulk nonlinear Hall effect in a spin-valley locked Dirac material. [europepmc]
- Infrared avalanche photodiodes from bulk to 2D materials. [europepmc]
- On the topological surface states of the intrinsic magnetic topological insulator Mn-Bi-Te family. [europepmc]
- Topological insulators for thermoelectrics: A perspective from beneath the surface. [europepmc]
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