Topological quantum materials from the viewpoint of chemistry
arXiv:2103.11606 · doi:10.1021/acs.chemrev.0c00732
Abstract
Topology, a mathematical concept, has recently become a popular and truly transdisciplinary topic encompassing condensed matter physics, solid state chemistry, and materials science. Since there is a direct connection between real space, namely atoms, valence electrons, bonds and orbitals, and reciprocal space, namely bands and Fermi surfaces, via symmetry and topology, classifying topological materials within a single-particle picture is possible. Currently, most materials are classified as trivial insulators, semimetals and metals, or as topological insulators, Dirac and Weyl nodal-line semimetals, and topological metals. The key ingredients for topology are: certain symmetries, the inert pair effect of the outer electrons leading to inversion of the conduction and valence bands, and spin-orbit coupling. This review presents the topological concepts related to solids from the viewpoint of a solid-state chemist, summarizes techniques for growing single crystals, and describes basic physical property measurement techniques to characterize topological materials beyond their structure and provide examples of such materials. Finally, a brief outlook on the impact of topology in other areas of chemistry is provided at the end of the article.
Review Article, 28 Figures
References in corpus (63)
- Electric Field Effect in Atomically Thin Carbon Films
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Topological Insulators with Inversion Symmetry
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- 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
- Room-Temperature Quantum Hall Effect in Graphene
- Quantized Anomalous Hall Effect in Magnetic Topological Insulators
- Topological Crystalline Insulators
- Titanic Magnetoresistance in WTe2
- Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
- 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
- Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
- Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
- Spin-orbit gap of graphene: First-principles calculations
- High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
- Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
- Topological Mott Insulators
- Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
- Berry phase effect in anomalous thermoelectric transport
- Topological origin of subgap conductance in insulating bilayer graphene
- Two-dimensional Dirac fermions in a topological insulator: transport in the quantum limit
- Quantum spin Hall effect in a transition metal oxide Na2IrO3
- Bulk Band Gap and Surface State Conduction Observed in Voltage-Tuned Crystals of the Topological Insulator BiSe
- Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
- Multiple types of topological fermions in transition metal silicides
- Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
- Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
- Discovery of topological chiral crystals with helicoid arc states
- New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
- Non-collinear Antiferromagnets and the Anomalous Hall Effect
- Enhanced Thermoelectric Performance and Anomalous Seebeck Effects in Topological Insulators
- Observation of Dirac Holes and Electrons in a Topological Insulator
- Photocurrents in Weyl semimetals
- Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
- Gate-Tunable Negative Longitudinal Magnetoresistance in the Predicted Type-II Weyl Semimetal WTe2
- Quantum oscillations, thermoelectric coefficients and the Fermi surface of semi-metallic WTe2
- Topological Hopf and chain link semimetal states and their application to Co2MnGa (Theory and Materials Prediction)
- Topological Surface States and Dirac point tuning in ternary Bi2Te2Se class of topological insulators
- Negative longitudinal magnetoresistance in Dirac and Weyl metals
- Stacked topological insulator built from bismuth-based graphene sheet analogues
- Large anomalous Nernst effect in a van der Waals ferromagnet FeGeTe
- Non-symmorphic band degeneracy at the Fermi level in ZrSiTe
- Magnetotransport of single crystalline NbAs
- Prediction of weak topological insulators in layered semiconductors
- Half-Heusler topological insulators
- Hall-effect within the colossal magnetoresistive semi-metallic state of MoTe2
- Intrinsic anomalous Hall effect in Ni-substituted magnetic Weyl semimetal Co3Sn2S2
- Evidence of surface transport and weak anti-localization in single crystal of Bi2Te2Se topological insulator
- Ambipolar Surface State Thermoelectric Power of Topological Insulator Bi2Se3
- Crystal growth and quantum oscillations in the topological chiral semimetal CoSi
- Quasiparticle Interference Evidence of the Topological Fermi Arc States in Chiral Fermionic Semimetal CoSi
- Chiral fermion reversal in chiral crystals
- Observation of Weyl nodes in robust type-II Weyl semimetal WP2
- Thermopower and Unconventional Nernst in the Predicted Type-II Weyl Semi-metal WTe
- Direct observation of handedness-dependent quasiparticle interference in the two enantiomers of topological chiral semimetal PdGa
- Disentangling the magnetoelectric and thermoelectric transport in topological insulator thin films
- Single crystal growth and magnetoresistivity study of topological semimetal CoSi
- Observation of sixfold degenerate fermions in PdSb
- Floating zone furnace equipped with a high power laser of 1kW composed of five smart beams
- Bringing order to the expanding fermion zoo