Type-II topological metals

Abstract

Topological metals (TMs) are a kind of special metallic materials, which feature nontrivial band crossings near the Fermi energy, giving rise to peculiar quasiparticle excitations. TMs can be classified based on the characteristics of these band crossings. For example, according to the dimensionality of the crossing, TMs can be classified into nodal-point, nodal-line, and nodal-surface metals. Another important property is the type of dispersion. According to degree of the tilt of the local dispersion around the crossing, we have type-I and type-II dispersions. This leads to significant distinctions in the physical properties of the materials, owing to their contrasting Fermi surface topologies. In this article, we briefly review the recent advances in this research direction, focusing on the concepts, the physical properties, and the material realizations of the type-II nodal-point and nodal-line TMs.

12 pages, 16 figures

References in corpus (75)

• Berry Phase Effects on Electronic Properties
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Classification of topological quantum matter with symmetries
• Type-II Weyl Semimetals
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Dirac semimetal in three dimensions
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Colloquium: Topological Band Theory
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Topological Semimetals
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Spectroscopic evidence for type II Weyl semimetal state in MoTe2
• Lorentz-violating type-II Dirac fermions in transition metal dichalcogenide PtTe${}_2$
• Observation of the Type-II Weyl Semimetal Phase in MoTe2
• Double Dirac Semimetals in Three Dimensions
• Nodal surface semimetals: Theory and material realization
• Novel electric field effects on Landau levels in Graphene
• Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
• Experimental Realization of Type-II Dirac Fermions in PdTe${}_2$ Superconductor
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Node-Surface and Node-Line Fermions From Nonsymmorphic Lattice Symmetries
• Type-II Dirac fermions in the PtSe${}_2$ class of transition metal dichalcogenides
• Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
• Extremely high magnetoresistance and conductivity in the type-II Weyl semimetals WP2 and MoP2
• TaIrTe4 a ternary Type-II Weyl semi-metal
• Experimental evidence of type-II Dirac fermions in PtSe2
• Towards Three-Dimensional Weyl-SurfaceSemimetals in Graphene Networks
• Nontrivial Berry phase and type II Dirac transport in layered material PdTe2
• Type-II nodal loops: theory and material realization
• Magnetic breakdown and Klein tunneling in a type-II Weyl semimetal
• Robust Type-II Weyl Semimetal Phase in Transition Metal Diphosphides XP${}_2$ (X = Mo, W)
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• Axial anomaly and longitudinal magnetoresistance of a generic three dimensional metal
• Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials
• Magnetic control of the valley degree of freedom of massive Dirac fermions with application to transition metal dichalcogenides
• Magnetic-field-induced relativistic properties in type-I and type-II Weyl semimetals
• Intrinsic Anomalous Hall Effect in Type-II Weyl Semimetals
• New fermions on the line in topological symmorphic metals
• Artificial gravity field, astrophysical analogues, and topological phase transitions in strained topological semimetals
• Experimental realization of type-II Weyl state in non-centrosymmetric TaIrTe${}_4$
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Measuring Chern numbers above the Fermi level in the Type II Weyl semimetal Mo${}_x$W${}_{1-x}$Te${}_2$
• Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry
• Topological Thermoelectricity in Metals
• Nexus and Dirac lines in topological materials
• Low-energy type-II Dirac fermions and spin-polarized topological surface states in transition-metal dichalcogenide NiTe${}_2$
• Hybrid Nodal Loop Metal: Unconventional Magnetoresponse and Material Realization
• Hybrid Dirac Semimetal in CaAgBi Materials Family
• Quadratic contact point semimetal: Theory and material realization
• A Class of topological nodal rings and its realization in carbon networks
• Circumventing the no-go theorem: A single Weyl point surrounded by nodal walls
• Atomic-scale visualization of quasiparticle interference on a type-II Weyl semimetal surface
• Magnetotransport and de Haas-van Alphen measurements in the type-II Weyl semimetal TaIrTe${}_4$
• Momentum-space structure of surface states in a topological semimetal with a nexus point of Dirac lines
• Floquet Weyl semimetals in light-irradiated type-II and hybrid line-node semimetals
• Hybrid Weyl Semimetal
• Type-II Dirac semimetals in the YPd${}_2$Sn class
• Weyl nodal surfaces
• Intrinsic Magnetoconductivity of Non-magnetic Metals
• Birefringent break up of Dirac fermions in a square optical lattice
• Two-dimensional antiferromagnetic Dirac fermions in monolayer TaCoTe${}_2$
• Cyclotron resonance of figure-of-eight orbits in a type-II Weyl semimetal
• Two-dimensional type-II Dirac fermions in layered oxides
• Topology of Triple-Point Metals
• Fermions and bosons in nonsymmorphic PdSb2 with sixfold degeneracy
• Two-dimensional type-II Dirac fermions in a LaAlO3/LaNiO3/LaAlO3 quantum well
• Asymmetric spatial structure of zero modes for birefringent Dirac fermions
• Type-II Dirac states in full Heusler compounds XInPd2 (X = Ti, Zr and Hf)
• Type-II Dirac line node in strained Na3N

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• Two-dimensional topological semimetals
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• Topological hinge modes in Dirac semimetals
• Electronic structures near unmovable nodal points and lines in two-dimensional materials
• Type-II Dirac Nodal Lines in double-kagome-layered CsV${}_8$Sb${}_{12}$
• Realization of Z${}_2$ Topological Metal in Single-Crystalline Nickel Deficient NiV${}_2$Se${}_4$