Three-dimensional topological insulators: A review on host materials

Abstract

In recent years, three-dimensional topological insulators (3DTI) as a novel state of quantum matter have become a hot topic in the fields of condensed matter physics and materials sciences. To fulfill many spectacularly novel quantum phenomena predicted in 3DTI, real host materials are of crucial importance. In this review paper, we first introduce general methods of searching for new 3DTI based on the density-functional theory. Then, we review the recent progress on materials realization of 3DTI including simple elements, binary compounds, ternary compounds, and quaternary compounds. In these potential host materials, some of them have already been confirmed by experiments while the others are not yet. The 3DTI discussed here does not contain the materials with strong electron-electron correlation. Lastly, we give a brief summary and some outlooks in further studies.

14 pages, 6 figures, 1 table

References in corpus (94)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators in Three Dimensions
• 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
• Quantum Spin Hall Effect in Silicene
• Topological invariants of time-reversal-invariant band structures
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Quantum Spin Hall Effect
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Topological orders and Edge excitations in FQH states
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Spin-orbit gap of graphene: First-principles calculations
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds
• Model Hamiltonian for Topological Insulators
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Topological Kondo Insulators
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Experimental demonstration of the topological surface states protected by the time-reversal symmetry
• A new platform for topological quantum phenomena : Topological Insulator states in thermoelectric Heusler-related ternary compounds
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Large bulk resistivity and surface quantum oscillations in the topological insulator Bi2Te2Se
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Topological Mott Insulators
• Three-Dimensional Topological Insulators
• p-type Bi2Se3 for topological insulator and low temperature thermoelectric applications
• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Topological Anderson Insulator
• Computing topological invariants without inversion symmetry
• Band structure engineering in (Bi1-xSbx)2Te3 ternary topological insulators
• Oscillatory crossover from two dimensional to three dimensional topological insulators
• Quantum Hall Effect from the Topological Surface States of Strained Bulk HgTe
• Bulk Fermi surface coexistence with Dirac surface state in Bi${}_2$Se${}_3$: a comparison of photoemission and Shubnikov-de Haas measurements
• Theory of the topological Anderson insulator
• Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator
• Bulk Band Gap and Surface State Conduction Observed in Voltage-Tuned Crystals of the Topological Insulator Bi${}_2$Se${}_3$
• First Principles Studies on 3-Dimentional Strong Topological Insulators: Bi2Te3, Bi2Se3 and Sb2Te3
• Ambipolar Field Effect in Topological Insulator Nanoplates of (BixSb1-x)2Te3
• Quantum interference in macroscopic crystals of non-metallic Bi${}_2$Se${}_3$
• Half-Heusler Compounds as a New Class of Three-Dimensional Topological Insulators
• Observation of Dirac Holes and Electrons in a Topological Insulator
• Pressure induced Superconductivity in Topological Compound Bi2Te3
• Optimizing the Bi_(2-x)Sb_(x)Te_(3-y)Se_(y) solid solutions to approach the intrinsic topological insulator regime
• Emergence of non-centrosymmetric topological insulating phase in BiTeI under pressure
• Magnetic and Electronic Properties of Metal-Atom Adsorbed Graphene
• Tunable Surface Conductivity in Bi2Se3 Revealed in Diffusive Electron Transport
• Superconductivity in the topological semimetal YPtBi
• Quantum spin Hall effect in three dimensional materials: Lattice computation of Z${}_2$ topological invariants and its application to Bi and Sb
• A theory of Topological Kondo Insulators
• Direct Evidence for the Dirac-Cone Topological Surface States in Ternary Chalcogenide TlBiSe2
• Topological Anderson Insulator in Three Dimensions
• Topological Surface States and Dirac point tuning in ternary Bi2Te2Se class of topological insulators
• Topological Aspect and Quantum Magnetoresistance of $\beta$-Ag${}_2$Te
• Observation of Single Dirac Cone Topological Surface State in Compounds TlBiTe2 and TlBiSe2 from a New Topological Insulator Family
• Single-Dirac-Cone topological surface states in TlBiSe2 class of Topological Insulators
• Half-Heusler Topological Insulators: A First-Principle Study with the Tran-Blaha Modified Becke-Johnson Density Functional
• Quantum Oscillations in a Topological Insulator Bi${}_2$Te${}_2$Se with Large Bulk Resistivity (6 $\Omega$cm)
• Direct mapping of the spin-filtered surface bands of a three-dimensional quantum spin Hall insulator
• Three-Dimensional Topological Insulators in I-III-VI${}_2$ and II-IV-V${}_2$ Chalcopyrite Semiconductors
• Tailoring ferromagnetic chalcopyrites
• Theoretical Prediction of Topological Insulators in Thallium-based III-V-VI${}_2$ Ternary Chalcogenides
• Topological insulators in three dimensions from spontaneous symmetry breaking
• Robustness of topologically protected surface states in layering of Bi2Te3 thin films
• Electronic Structures and Surface States of Topological Insulator Bi${}_{1-x}$Sb${}_x$
• Experimental verification of PbBi${}_2$Te${}_4$ as a 3D topological insulator
• Actinide Topological Insulator Materials with Strong Interaction
• Metallic surface electronic state in half-Heusler compounds RPtBi (R = Lu, Dy, Gd)
• Topological Insulators in Ternary Compounds with a Honeycomb Lattice
• Ternary Tetradymite Compounds as Topological Insulators
• Topological insulating behaviour in conducting property of crystalline Ge-Sb-Te
• Magnetic and transport properties of rare-earth-based half-Heusler phases RPdBi: prospective systems for topological quantum phenomena
• Direct Observation of the Topological Surface States in Lead-Based Ternary Telluride Pb(Bi1-xSbx)2Te4
• Topological insulators in filled skutterudites
• First-principles calculation of topological invariants Z2 within the FP-LAPW formalism
• Band Structure Engineering of Multinary Chalcogenide Topological Insulators
• Theoretical prediction of topological insulator in ternary rare earth chalcogenides
• New Candidates for Topological Insulators : Pb-based chalcogenide series
• Metacinnabar (β-HgS): a strong 3D topological insulator with highly anisotropic surface states
• Strain tuning of topological band order in cubic semiconductors
• Bi2Te1.6S1.4 - a Topological Insulator in the Tetradymite Family
• Topological insulators in the quaternary chalcogenide compounds and ternary famatinite compounds
• Strain driven onset of non-trivial topological insulating states in Zintl Sr${}_{2}X$ compounds ($X$=Pb, Sn)
• An isolated Dirac cone on the surface of ternary tetradymite-like topological insulators

Cited by in corpus (10)

• Colloquium: Topological Band Theory
• $d$-Orbital Topological Insulator and Semimetal in Antifluorite Cu${}_2$S Family: Contrasting Spin Helicities, Nodal Box, and Hybrid Surface States
• Topological carbon materials: a new perspective
• Topological phase transitions in (Bi${}_{1-x}$In${}_x{)}_2$Se${}_3$ and (Bi${}_{1-x}$Sb${}_x{)}_2$Se${}_3$
• Spin-orbit spillage as a measure of band inversion in insulators
• Fundamentally fastest optical processes at the surface of a topological insulator
• Pressure-Induced Topological Phase Transitions in CdGeSb${}_2$ and CdSnSb${}_2$
• Screened-exchange density functional theory description of the electronic structure and phase stability of the chalcopyrite materials AgInSe${}_2$ and AuInSe${}_2$
• First-principles prediction of a new family of layered topological insulators
• Phase transitions of the dimerized Kane-Mele model with/without the strong interaction