Quantum Transport in Topological Semimetals under Magnetic Fields (II)

Abstract

We review our recent works on the quantum transport, mainly in topological semimetals and also in topological insulators, organized according to the strength of the magnetic field. At weak magnetic fields, we explain the negative magnetoresistance in topological semimetals and topological insulators by using the semiclassical equations of motion with the nontrivial Berry curvature. We show that the negative magnetoresistance can exist without the chiral anomaly. At strong magnetic fields, we establish theories for the quantum oscillations in topological Weyl, Dirac, and nodal-line semimetals. We propose a new mechanism of 3D quantum Hall effect, via the "wormhole" tunneling through the Weyl orbit formed by the Fermi arcs and Weyl nodes in topological semimetals. In the quantum limit at extremely strong magnetic fields, we find that an unexpected Hall resistance reversal can be understood in terms of the Weyl fermion annihilation. Additionally, in parallel magnetic fields, longitudinal resistance dips in the quantum limit can serve as signatures for topological insulators.

arXiv comment23 pages, 8 figures, an invited review contributing to "Special Topic: Recent Advances in Topological Materials" of Frontiers of Physics. Also, as the sequel of "Quantum transport in topological semimetals under magnetic fields", Hai-Zhou Lu and Shun-Qing Shen, Front. Phys. 12, 127201 (2017)

References in corpus (236)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Topological Insulators
• Topological insulators and superconductors
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Berry Phase Effects on Electronic Properties
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Topological Materials: Weyl Semimetals
• Dirac semimetal in three dimensions
• Topological nodal semimetals
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Crossover of Three-Dimensional Topological Insulator of Bi2Se3 to the Two-Dimensional Limit
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Unconventional Integer Quantum Hall effect in graphene
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Observation of Weyl nodes in TaAs
• Observation of the chiral magnetic effect in ZrTe5
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Discovery of a Weyl Fermion semimetal state in NbAs
• Topological nodal line semimetals with and without spin-orbital coupling
• Large anomalous Hall effect driven by non-vanishing Berry curvature in non-collinear antiferromagnetic Mn3Ge
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Dirac Line Nodes in Inversion Symmetric Crystals
• Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Topological nodal line semimetals
• Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
• Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
• Nodal-chain metals
• Landau Quantization and Quasiparticle Interference in the Three-Dimensional Dirac Semimetal Cd3As2
• Topological nodal-line fermions in ZrSiSe and ZrSiTe
• Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
• Impurity effect on weak anti-localization in the topological insulator Bi2Te3
• Observation of the Type-II Weyl Semimetal Phase in MoTe2
• Negative Magnetoresistance in Dirac Semimetal Cd3As2
• Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
• Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
• Experimental discovery of a topological Weyl semimetal state in TaP
• Dirac vs. Weyl in topological insulators: Adler-Bell-Jackiw anomaly in transport phenomena
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Observation of Topological Nodal Fermion Semimetal Phase in ZrSiS
• Effective continuous model for surface states and thin films of three dimensional topological insulators
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Topological Semimetals Predicted from First-principles Calculations
• A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
• Transport evidence for Fermi-arc mediated chirality transfer in the Dirac semimetal Cd${}_3$As${}_2$
• Topological semi-metals with line nodes and drumhead surface states
• Quantum interference in macroscopic crystals of non-metallic Bi${}_2$Se${}_3$
• Linear magnetoresistance caused by mobility fluctuations in the n-doped Cd3As2
• Time-Reversal-Breaking Weyl Fermions in Magnetic Heusler Alloys
• Giant and anisotropic many-body spin-orbit tunability in a strongly correlated kagome magnet
• Experimental Observation of Three-Component 'New Fermions' in Topological Semimetal MoP
• Spin-orbit-free Weyl-loop and Weyl-point semimetals in a stable three-dimensional carbon allotrope
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Consequences of breaking time reversal symmetry in LaSb: a resistivity plateau and extreme magnetoresistance
• Anomalous Nernst effect beyond the magnetization scaling relation in the ferromagnetic Heusler compound Co${}_2$MnGa
• Competition between weak localization and antilocalization in topological surface states
• Three-dimensional quantum Hall effect and metal-insulator transition in ZrTe5
• Observation of Weyl nodes and Fermi arcs in TaP
• Large nonsaturating magnetoresistance and signature of non-degenerate Dirac nodes in ZrSiS
• Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
• Single valley Dirac fermions in zero-gap HgTe quantum wells
• Nodal-link semimetals
• Node-Surface and Node-Line Fermions From Nonsymmorphic Lattice Symmetries
• Evidence for electron-electron interaction in topological insulator thin films
• Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
• Discovery of Dirac Node Arcs in PtSn4
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Gate-Tunable Negative Longitudinal Magnetoresistance in the Predicted Type-II Weyl Semimetal WTe2
• Anisotropic Dirac fermions in a Bi square net of SrMnBi2
• Phase analysis of quantum oscillations in graphite
• Symmetry-protected ideal Weyl semimetal in HgTe-class materials
• Line-Node Dirac Semimetal and Topological Insulating Phase in Noncentrosymmetric Pnictides CaAgX (X = P, As)
• A sudden collapse in the transport lifetime across the topological phase transition in $(B{i}_{1-x}I{n}_x{)}_{2}S{e}_3$
• Topological Nodal Line Semimetals in CaP3 family of materials
• Weyl semimetals from noncentrosymmetric topological insulators
• Topological nodal-line semimetals in alkaline-earth stannides, germanides and silicides
• Nontrivial Berry phase and type II Dirac transport in layered material PdTe2
• Dirac node lines in pure alkali earth metals
• Topological Aspect and Quantum Magnetoresistance of $\beta$-Ag${}_2$Te
• Topological-Metal to Band-Insulator Transition in (Bi1-xInx)2Se3 Thin Films
• Magnetic breakdown and Klein tunneling in a type-II Weyl semimetal
• Theoretical prediction of magnetic and noncentrosymmetric Weyl fermion semimetal states in the R-Al-X family of compounds (R=rare earth, Al=aluminium, X=Si, Ge)
• Co-existence of Weyl Fermion and Massless Triply Degenerate Nodal Points
• Anomalous Hall effect in Weyl semimetal half Heusler compounds RPtBi (R = Gd and Nd)
• Helicity protected ultrahigh mobility Weyl fermions in NbP
• Topological semimetals with double-helix nodal link
• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• 3D quantum Hall effect of Fermi arcs in topological semimetals
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd3As2
• Large linear magnetoresistance in the Dirac semimetal TlBiSSe
• Axial anomaly and longitudinal magnetoresistance of a generic three dimensional metal
• On the search for the chiral anomaly in Weyl semimetals: The negative longitudinal magnetoresistance
• Criteria for directly detecting topological Fermi arcs in Weyl semimetals
• Room-temperature magnetic topological semimetal state in half-metallic Heusler Co${}_2$TiX (X=Si, Ge, or Sn)
• Quantum Hall states observed in thin films of Dirac semimetal Cd3As2
• Dirac Line-nodes and Effect of Spin-orbit Coupling in Non-symmorphic Critical Semimetal MSiS (M=Hf, Zr)
• Topological Dirac Nodal Lines and Surface Charges in fcc Alkaline Earth Metals
• Aharonov-Bohm oscillations in Dirac semimetal Cd3As2 nanowires
• Are the double Fermi arcs of Dirac semimetals topologically protected?
• Dirac nodal lines and induced spin Hall effect in metallic rutile oxides
• Nearly massless Dirac fermions and strong Zeeman splitting in the nodal-line semimetal ZrSiS probed by de Haas--van Alphen quantum oscillations
• Resonant Spin Hall Conductance in Two-Dimensional Electron Systems with Rashba Interaction in a Perpendicular Magnetic Field
• Topological electronic structure and Weyl semimetal in the TlBiSe${}_2$ class of semiconductors
• Friedel oscillations due to Fermi arcs in Weyl semimetals
• Dispersion of Fermi arcs in Weyl semimetals and their evolutions to Dirac cones
• Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals
• Tunable Line Node Semimetals
• Landau level splitting in Cd3As2 under high magnetic fields
• Transport in three-dimensional topological insulators: theory and experiment
• Room-temperature chiral charge pumping in Dirac semimetals
• Prediction of a Weyl Semimetal in Hg${}_{1-x-y}$Cd${}_x$Mn${}_y$Te
• Observation of Fermi arc spin texture in TaAs
• Quantum Transport in Topological Semimetals under Magnetic Fields
• Evolution of Weyl orbit and quantum Hall effect in Dirac semimetal Cd3As2
• New fermions on the line in topological symmorphic metals
• Pi Berry phase and Zeeman splitting of TaP probed by high field magnetotransport measurements
• Topological Semimetals carrying Arbitrary Hopf Numbers: Hopf-Link, Solomon's-Knot, Trefoil-Knot and Other Semimetals
• Topological Node-Line Semimetal in Compressed Black Phosphorus
• The chiral anomaly factory: Creating Weyl fermions with a magnetic field
• Boltzmann-equation approach to anomalous transport in a Weyl metal
• Weak antilocalization and localization in disordered and interacting Weyl semimetals
• Unexpected edge conduction in HgTe quantum wells under broken time reversal symmetry
• Atomic Scale Visualization of Quantum Interference on a Weyl Semimetal Surface by Scanning Tunneling Microscopy/Spectroscopy
• Measuring Chern numbers above the Fermi level in the Type II Weyl semimetal Mo${}_x$W${}_{1-x}$Te${}_2$
• Three-component fermions with surface Fermi arcs in topological semimetal tungsten carbide
• Topological Dirac Nodal-net Fermions in AlB${}_2$-type TiB${}_2$ and ZrB${}_2$
• Spin polarization and texture of the Fermi arcs in the Weyl Fermion semimetal TaAs
• Three-dimensional Pentagon Carbon with a genesis of emergent fermions
• CaTe: a new topological node-line and Dirac semimetal
• Negative Magnetoresistance without Chiral Anomaly in Topological Insulators
• Unsaturated both large positive and negative magnetoresistance in Weyl Semimetal TaP
• Anomalous Phase Shift of Quantum Oscillations in 3D Topological Semimetals
• Topological semimetals and topological insulators in rare earth monopnictides
• Tunable topological Weyl semimetal from simple cubic lattices with staggered fluxes
• Topological Weyl Semi-metal from a Lattice Model
• Extremely large and significantly anisotropic magnetoresistance in ZrSiS single crystals
• Chiral Quasiparticles at the Fermi Surface of the Weyl Semimetal TaAs
• Topological semimetals protected by off-centered symmetries in nonsymmorphic crystals
• Rules for Phase Shifts of Quantum Oscillations in Topological Nodal-line Semimetals
• Wormhole Effect in a Strong Topological Insulator
• Anomalous conductivity tensor in the Dirac semimetal Na_3Bi
• Magnetic tunneling induced Weyl node annihilation in TaP
• Topological Dirac States and Pairing Correlations in the Non-Centrosymmetric Superconductor PbTaSe2
• Gigantic negative magnetoresistance in a disordered topological insulator
• Observation of topological transition of Fermi surface from a spindle-torus to a torus in large bulk Rashba spin-split BiTeCl
• Electron-hole compensation effect between topologically trivial electrons and nontrivial holes in NbAs
• Linear magnetoconductivity in an intrinsic topological Weyl semimetal
• Quantum oscillations from generic surface Fermi arcs and bulk chiral modes in Weyl semimetals
• Magnetotransport properties of the triply degenerate node topological semimetal tungsten carbide
• Linear magnetoresistance on the topological surface
• Quantum oscillations and the Fermi-surface topology of the Weyl semimetal NbP
• Discovery of Log-Periodic Oscillations in Ultra-Quantum Topological Materials
• Longitudinal negative magnetoresistance and magneto-transport phenomena in conventional and topological conductors
• Quantum oscillation studies of topological semimetal candidate ZrGeM (M=S, Se, Te)
• Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects
• Origin of dissipative Fermi arc transport in Weyl semimetals
• Current induced anisotropic magnetoresistance in topological insulator films
• Modern semiclassical theory of magnetic transport and breakdown
• Anisotropic and strong negative magneto-resistance in the three-dimensional topological insulator Bi2Se3
• Thin topological insulator film in a perpendicular magnetic field
• Quantum Hall States Stabilized in Semi-magnetic Bilayers of Topological Insulators
• A Family Group of Two-dimensional Node-Line Semimetals
• Topo-fermiology
• Unusual magneto-transport from Si-square nets in topological semimetal HfSiS
• Atomic-scale visualization of quasiparticle interference on a type-II Weyl semimetal surface
• Quasi-particle interferences of the Weyl semimetals TaAs and NbP
• Magnetotransport and de Haas-van Alphen measurements in the type-II Weyl semimetal TaIrTe${}_4$
• Topological Bloch oscillations
• The Chiral Anomaly and Ultrahigh Mobility in Crystalline HfTe5
• Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
• Pressure tuning the Fermi-surface topology of the Weyl semimetal NbP
• Negative longitudinal magnetoresistance from anomalous N=0 Landau level in topological materials
• Intrinsic Magnetoconductivity of Non-magnetic Metals
• Observation of a nodal chain with Dirac surface states in TiB2
• Chiral anomaly induced negative magnetoresistance in topological Weyl semimetal NbAs
• Edge states and integer quantum Hall effect in topological insulator thin films
• Relativistic k.p Hamiltonians for centrosymmetric topological insulators from ab initio wave functions
• Proposal for detecting nodal-line semimetal surface-states with resonant spin-flipped reflection
• Topological semimetal in honeycomb lattice LnSI
• Robustness of Quantum Spin Hall Effect in an External Magnetic Field
• Detecting monopole charge in Weyl semimetals via quantum interference transport
• Quantum Oscillations in Nodal Line Systems
• Modern theory of magnetic breakdown
• Perspective: 3D quantum Hall effect
• Topological and trivial magnetic oscillations in nodal loop semimetals
• The chiral anomaly in real space
• Electron Transport in Dirac and Weyl Semimetals
• Intrinsic Magnetoresistance in Three-Dimensional Dirac Materials
• Topological Semimetal-Insulator Quantum Phase Transition in Zintl Compounds Ba2X (X=Si, Ge)
• Magnetotransport properties of the type II Weyl semimetal candidate Ta3S2
• Theory of magnetic oscillations in Weyl semimetals
• Magnetotransport in the Weyl semimetal in the quantum limit - the role of the topological surface states
• Interaction driven surface Chern insulator in nodal line semimetals
• Linear magnetotransport in monolayer MoS${}_2$
• Quantum Hall Edge States in Topological Insulator Nanoribbons
• Mirror protected Dirac fermions on a Weyl semimetal NbP surface
• Log-periodic quantum magneto-oscillations and discrete scale invariance in topological material HfTe5
• Fermi arc mediated entropy transport in topological semimetals
• Robustness of anomaly-related magnetoresistance in doped Weyl semimetals
• Probing helicity and the topological origins of helicity via non-local Hanbury-Brown and Twiss correlations
• Electrical control of the sign of the g-factor in a GaAs hole quantum point contact
• Topological Phase Transition-Induced Tri-Axial Vector Magnetoresistance in (Bi1-xInx)2Se3 Nanodevices
• Efimov Effect in the Dirac Semi-metals
• Forbidden Backscattering and Resistance Dip in the Quantum Limit as a Signature for Topological Insulators
• Observation of Negative Magnetoresistance and nontrivial $\pi$ Berrys phase in 3D Weyl semi-metal NbAs
• Kinetic equation and magneto-conductance for Weyl metal in the clean limit
• Topological Crystalline Metal in Orthorhombic Perovskite Iridates

Cited by in corpus (12)

• Topology of Triple-Point Metals
• Microscopic theory of magnetoconductivity at low magnetic fields in terms of Berry curvature and orbital magnetic moment
• Three-dimensional quantum Hall effect and magnetothermoelectric properties in Weyl semimetals
• Planar Hall-effect, Anomalous planar Hall-effect, and Magnetic Field-Induced Phase Transitions in TaAs
• Disorder and magnetic transport in tilted Weyl semimetals
• Disorder and magnetoconductivity in tilted Weyl semimetals
• Tensor monopoles and negative magnetoresistance effect in optical lattices
• Surface and bulk Landau levels in thin films of Weyl semimetals
• The Emerging Weak Antilocalization Effect in Semimetal Ta${}_{0.7}$Nb${}_{0.3}$Sb${}_2$ Single Crystal
• 3D Topological Semimetal Phases of Strained $\alpha$-Sn on Insulating Substrate
• Quantum Oscillation and Landau-Zener transition in Untilted Nodal line semimetals under a time-periodic magnetic field
• Coexistence of Logarithmic and SdH Quantum Oscillations in Ferromagnetic Cr-doped Tellurium Single Crystals