Weyl Metals

Abstract

Weyl metal is the first example of a conducting material with a nontrivial electronic structure topology, making it distinct from an ordinary metal. Unlike in insulators, the nontrivial topology is not related to invariants, associated with completely filled bands, but with ones, associated with the Fermi surface. The Fermi surface of a topological metal consists of disconnected sheets, each enclosing a Weyl node, which is a point of contact between two nondegenerate bands. Such a point contact acts as a source of Berry curvature, or a magnetic monopole in momentum space. Its charge, or the flux of the Berry curvature through the enclosing Fermi surface sheet, is a topological invariant. We review the current state of this rapidly growing field, with a focus on bulk transport phenomena in topological metals.

21 pages, 6 figures. Review article, submitted to Annual Reviews of Condensed Matter Physics. Added references and fixed a formatting problem

References in corpus (13)

• Topological Insulators with Inversion Symmetry
• The Chiral Magnetic Effect
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Giant Nonlocality near the Dirac Point in Graphene
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Thermoelectric properties of Weyl and Dirac semimetals
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
• Crossed surface flat bands of Weyl semimetal superconductors
• Density response in Weyl metals

Cited by in corpus (183)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Discovery of topological chiral crystals with helicoid arc states
• Electronic Transport and quantum oscillation of Topological Semimetals
• Topological Semimetals from first-principles
• Topological Magnons: A Review
• Light control with Weyl semimetals
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• First Principles Calculations for Topological Quantum Materials
• 4D spinless topological insulator in a periodic electric circuit
• Chiral magnetic effect reveals the topology of gauge fields in heavy-ion collisions
• The study of magnetic topological semimetals by first principles calculations
• Interactions remove the quantization of the chiral photocurrent at Weyl points
• Creating Weyl nodes and controlling their energy by magnetization rotation
• Topological nodal states in circuit lattice
• Topological responses from chiral anomaly in multi-Weyl semimetals
• Observation of Weyl fermions in a magnetic non-centrosymmetric crystal
• Nonlinear anomalous photocurrents in Weyl semimetals
• Quantum Metric and Correlated States in Two-dimensional Systems
• Magnetic textures and dynamics in magnetic Weyl semimetals
• Crystal growth and quantum oscillations in the topological chiral semimetal CoSi
• Magnetized Topological Insulator Multilayers
• Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
• Signatures of Chiral Magnetic Effect in the Collisions of Isobars
• Symmetry-enforced topological nodal planes at the Fermi surface of a chiral magnet
• Optical properties and electromagnetic modes of Weyl semimetals
• Quantum Interactions in Topological R166 Kagome Magnet
• Topological band crossings in hexagonal materials
• Quantum anomalies in nodal line semimetals
• Enhanced Anomalous Hall Effect in Magnetic Topological Semimetal Co${}_3$Sn${}_{2-x}$In${}_x$S${}_2$
• Anomalous Hall and Nernst effects in epitaxial films of topological kagome magnet Fe3Sn2
• Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO${}_3$
• Intrinsic Fermi Surface Contribution to the Bulk Photovoltaic Effect
• Nieh-Yan Anomaly: Torsional Landau Levels, central charge and anomalous thermal Hall effect
• A magnetic Weyl semimetallic phase in thin films of Eu${}_2$Ir${}_2$O${}_7$
• Quantum non-local theory of topological Fermi arc plasmons in Weyl semimetals
• Symmetry-enforced band crossings in tetragonal materials: Dirac and Weyl degeneracies on points, lines, and planes
• Quantum chaos, pole-skipping and hydrodynamics in a holographic system with chiral anomaly
• Tetrads in solids: from elasticity theory to topological quantum Hall systems and Weyl fermions
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Fractional Quantum Hall Effect in Weyl Semimetals
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Twisted Fermi surface of a thin-film Weyl semimetal
• Charge density waves in Weyl semimetals
• Magneto-optical conductivity of double Weyl semimetals
• Third order optical nonlinearity of three dimensional massless Dirac fermions
• Fermi arc reconstruction in synthetic photonic lattice
• Dynamo Effect and Turbulence in Hydrodynamic Weyl Metals
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Resonant X-ray scattering study of diffuse magnetic scattering from the topological semimetals EuCd${}_2$As${}_2$ and EuCd${}_2$Sb${}_2$
• Semi-Dirac and Weyl Fermions in Transition Metal Oxides
• Unquantized anomalies in topological semimetals
• Symmetry-enforced band crossings in trigonal materials: Accordion states and Weyl nodal lines
• Topological semimetal phases manifested in transition metal dichalcogenides intercalated with 3d metals
• Torsional Responses and Liouville Anomaly in Weyl Semimetals with Dislocations
• Chiral Hall effect in strained Weyl semimetals
• Theory of the fractional quantum Hall effect in Weyl semimetals
• Charge-spin response and collective excitations in Weyl semimetals
• Josephson effect in type-I Weyl Semimetals
• Electronic transport in torsional strained Weyl semimetals
• Hybrid topological magnon-phonon modes in honeycomb and kagome lattices
• Competing magnetic phases in LnSbTe (Ln = Ho and Tb)
• Phase transitions in a holographic multi-Weyl semimetal
• Electromagnetic fields induced by an electric charge near a Weyl semimetal
• Nonlinear Quantum Electrodynamics in Dirac materials
• Weyl nodal point-line Fermion in ferromagnetic Eu${}_5$Bi${}_3$
• Phonon-limited Transport and Fermi Arc Lifetime in Weyl Semimetals
• Symmetry-Enriched Criticality in a Coupled Spin-Ladder
• An improved holographic nodal line semimetal
• Anisotropic three-dimensional quantum Hall effect and magnetotransport in mesoscopic Weyl semimetals
• Topological spin-plasma waves
• Intrinsic surface superconducting instability in Type-I Weyl Semimetals
• Surface photogalvanic effect in Weyl semimetals
• Manifestation of topological behaviors in interacting Weyl systems: one-body verse two-body correlations
• Proximity-induced equilibrium supercurrent and perfect superconducting diode effect due to band asymmetry
• Thermoelectric transport in torsional strained Weyl semimetals
• Thermal plasmon resonantly enhances electron scattering in Dirac/Weyl semimetals
• Theoretical study of topological properties of ferromagnetic pyrite CoS${}_2$
• Visualizing higher-fold topology in chiral crystals
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• Fermi-arc metals
• Multiple Dirac Nodes and Symmetry Protected Dirac Nodal Line in Orthorhombic $\alpha$-RhSi
• Magnetotransport and internodal tunnelling in Weyl semimetals
• Domain wall skew scattering in ferromagnetic Weyl metals
• Pressure-induced creation and annihilation of Weyl points in Td- and 1T"-Mo0.5W0.5Te2
• Dynamical signatures of point-gap Weyl semimetal
• On the magnetic structures of 1:1:1 stoichiometric topological phases LnSbTe (Ln = Pr, Nd, Dy and Er)
• Four-wave mixing in Weyl semimetals
• Zeros of Green Functions in Topological Insulators
• Dynamical density and spin response of Fermi arcs and their consequences for Weyl semimetals
• Anomalous sound attenuation in Weyl semimetals in magnetic and pseudomagnetic fields
• Photogalvanic response in multi-Weyl semimetals
• Fate of Fermi-arc States in Gapped Weyl Semimetals under Long-ranged Interactions
• Magnetism and Magnetotransport in the Kagome Antiferromagnet ${\text{Mn}}_3\text{Ge}$
• Correlation driven near-flat band Stoner excitations in a Kagome magnet
• Phonon-induced magnetoresistivity of Weyl semimetal nanowires
• Quantized electrochemical transport in Weyl semimetals
• Equilibrium current in a Weyl-semimetal - superconductor heterostructure
• Dynamical density response and optical conductivity in topological metals
• Relaxation terms for anomalous hydrodynamic transport in Weyl semimetals from kinetic theory
• Chiral Meissner effect in time-reversal invariant Weyl superconductors
• Surface band characters of Weyl semimetal candidate material MoTe${}_2$ revealed by one-step ARPES theory
• Topological van Hove singularities at phase transitions in Weyl metals
• Spin-orbital magnetic response of relativistic fermions with band hybridization
• Magnetic Breakdown and Chiral Magnetic Effect at Weyl-Semimetal Tunnel Junctions
• Field theory approach to the quantum transport in Weyl semimetals
• Superconductivity from piezoelectric interactions in Weyl semimetals
• Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators
• Magnetism and berry phase manipulation in an emergent structure of perovskite ruthenate by (111) strain engineering
• Electric field manipulation of surface states in topological semimetals
• Surface Luttinger arcs in Weyl semimetals
• Multi higher-order Dirac and nodal line semimetals
• Topological Quantum Criticality in Superfluids and Superconductors: Surface criticality, Thermal properties, and Lifshitz Majorana fields
• Crystalline-electromagnetic responses of higher order topological semimetals
• Gapless higher-order topology and corner states in Floquet systems
• Absence of quantization in the circular photogalvanic effect in disordered chiral Weyl semimetals
• Effect of chiral anomaly on the circular dichroism and Hall angle in doped and tilted Weyl semimetals
• Anomalous plasma: chiral magnetic effect and all that
• Acoustic plasmons in type-I Weyl semimetals
• BCS-like disorder-driven instabilities and ultraviolet effects in nodal-line semimetals
• Anomalous Gurzhi effect
• Duality between disordered nodal semimetals and systems with power-law hopping
• Rotating solutions of nonideal transverse Chern-Simons magnetohydrodynamics and the anomalous Hall current
• Exact Chiral Symmetries of 3+1D Hamiltonian Lattice Fermions
• Anomalous Surface Conductivity of Weyl Semimetals
• Quantum Oscillation Signatures of Fermi Arcs in Tunnel Magnetoconductance
• Phonon Edelstein effect in chiral metals
• Topological physics in quantum critical systems
• Weyl hydrodynamics in a strong magnetic field
• Parabolic Hall Effect due to Co-Propagating Surface Modes
• THz range Faraday rotation in the Weyl Semimetal Candidate $\mathrm{C}{\mathrm{o}}_2\mathrm{TiGe}$
• Nonreciprocal Weyl semimetal waveguide
• Nonmonotonic Hall effect of Weyl semimetals under magnetic field
• Quantum description of Fermi arcs in Weyl semimetals in a magnetic field
• Accessing Topological Fluctuations of Gauge Fields with Chiral Magnetic Effect
• Magnetic breakdown spectrum of a Kramers-Weyl semimetal
• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
• Electric Quantum Oscillation in Weyl Semimetals
• Noncentrosymmetric two-dimensional Weyl semimetals in porous Si/Ge structures
• A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium
• Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals
• Artificial Hawking radiation, weak pseudo-Hermiticity and Weyl semimetal blackhole analogy
• Topological Mott transition in a two band model of spinless fermions with on-site Coulomb repulsion
• Topological insulators and geometry of vector bundles
• Chiral anomaly in Weyl semimetals from spin current injection
• Emergent Weyl Fermions in an Orbital Multipolar Ordering Phase
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Electric and chiral response to a pseudoelectric field in Weyl materials
• Semimetallic and semiconducting graphene-hBN multilayers with parallel or reverse stacking
• Flat bands and multi-state memory devices from chiral domain wall superlattices in magnetic Weyl semimetals
• Hopf Semimetals
• Holography of dislocations and ring defects in Einstein-Gauss-Bonnet AdS gravity
• Axion electrodynamics of Weyl superconductors with broken time-reversal symmetry
• Magnon topology driven by altermagnetism
• Non-divergent Chiral Charge Pumping in Weyl Semimetal
• Nodal lines and boundary modes in topological Dirac semimetals with magnetism
• Superfluid Stiffness and Josephson Quantum Capacitance: Adiabatic Approach and Topological Effects
• Symmetry-adapted models for multifold fermions with spin-orbit coupling
• Magnetotransport across Weyl semimetal grain boundaries
• Surface spectroscopy and surface-bulk hybridization of Weyl semimetals
• Fermi arc criterion for surface Majorana modes in superconducting time-reversal symmetric Weyl semimetals
• Vortical effects in chiral band structures
• Topological hybrid electron-hole Cooper pairing
• Giga fine-structure constant in photonic solitons
• Chiral symmetry and magnetism in a 3D Kagome lattice: RPt${}_2$B (R = La and Nd) prototype crystals
• Real-time evolution and quantized charge pumping in magnetic Weyl semimetals
• Anisotropic marginal Fermi liquid for Coulomb interacting generalized Weyl fermions
• Effects of anisotropy on the high field magnetoresistance of Weyl semimetals
• Interaction robustness of the chiral anomaly in Weyl semimetals and Luttinger liquids from a mixed anomaly approach
• Critical magnetic flux for Weyl points in the three-dimensional Hofstadter model
• Dirac Electrons in AC-Magnetic Fields: $\pi$-Landau Levels and Chiral Anomaly-Induced Homodyne Effect
• Polarization, plasmon, and Debye screening in doped 3D ani-Weyl semimetal
• Optical Response from Charge-Density Waves in Weyl Semimetals
• Relativistic Mechanism of Chiral Magnetic Current in Weyl Semimetals with Tilted Dispersion
• Surface states and finite size effects in triple-fold semimetals
• Optical conductivity of a Dirac-Fermi liquid
• Thermo-magneto-electric transport through a torsion dislocation in a type I Weyl Semimetal
• Equivalence class of Emergent Single Weyl fermion lattice models in 3 dimensions: gapless superconductors and superfluids versus chiral fermions
• Supercurrent-induced phonon angular momentum
• Superconductivity in multi-Weyl semimetals: Conditions for the coexistence of topological and conventional phases
• Weyl excitations via helicon-phonon mixing in conducting materials
• Fermi surface and Berry phase analysis for Dirac nodal line semimetals: cautionary tale to SrGa${}_2$ and BaGa${}_2$
• Equatorial magnetoplasma waves
• Volkov-Pankratov states in a driven semimetal for a generic interface