Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals

Abstract

By making use of the Kubo formula, we calculate the conductivity of Dirac and Weyl semimetals in a magnetic field. We find that the longitudinal (along the direction of the magnetic field) magnetoresistivity is negative at sufficiently large magnetic fields for {\it both} Dirac and Weyl semimetals. The physical reason of this phenomenon is intimately connected with the dimensional spatial reduction $3\to 1$ in the dynamics of the lowest Landau level. The off-diagonal component of the transverse (with respect to the direction of the magnetic field) conductivity in Weyl semimetals contains an anomalous contribution directly proportional to the momentum space separation between the Weyl nodes. This contribution comes exclusively from the lowest Landau level and, as expected, is independent of the temperature, chemical potential, and magnetic field. The other part of the off-diagonal conductivity is the same as in Dirac semimetals and is connected with a nonzero density of charge carriers. The signatures for experimental distinguishing Weyl semimetals from Dirac ones through the measurements of conductivity are discussed.

v2: 17 pages, 5 multi-panel figures; published version with minor changes and new references added

References in corpus (12)

• Electric Field Effect in Atomically Thin Carbon Films
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological response in Weyl semimetals and the chiral anomaly
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Recent developments in transport phenomena in Weyl semimetals
• Dirac vs. Weyl in topological insulators: Adler-Bell-Jackiw anomaly in transport phenomena
• First Principles Studies on 3-Dimentional Strong Topological Insulators: Bi2Te3, Bi2Se3 and Sb2Te3
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
• Weak Localization and Antilocalization in Topological Insulator Thin Films with Coherent Bulk-Surface Coupling
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• Weyl semimetals and superconductors designed in an orbital selective superlattice

Cited by in corpus (100)

• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Negative Magnetoresistance in Dirac Semimetal Cd3As2
• Thermoelectric properties of Weyl and Dirac semimetals
• Chiral anomaly and optical absorption in Weyl semimetals
• Axial anomaly and longitudinal magnetoresistance of a generic three dimensional metal
• Quantum Transport in Topological Semimetals under Magnetic Fields
• Weak antilocalization and localization in disordered and interacting Weyl semimetals
• Anomalous Phase Shift of Quantum Oscillations in 3D Topological Semimetals
• Chiral vortical wave and induced flavor charge transport in a rotating quark-gluon plasma
• Linear magnetoconductivity in an intrinsic topological Weyl semimetal
• Thermoelectric transport in double-Weyl semimetals
• Origin of dissipative Fermi arc transport in Weyl semimetals
• The Dirac-Weyl semimetal: Coexistence of Dirac and Weyl fermions in polar hexagonal $ABC$ crystals
• Weyl fermions with arbitrary monopole in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering
• Anomalous Magneto Response and the Stückelberg Axion in Holography
• Transversal magnetoresistance in Weyl semimetals
• Coulomb interaction effect in tilted Weyl fermion in two dimensions
• Optical properties of a semi-Dirac material
• Systematic investigation of emergent particles in type-III magnetic space groups
• Mixed axial-torsional anomaly in Weyl semimetals
• Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
• Linear magnetochiral effect in Weyl semimetals
• Three-dimensional Critical Dirac semimetal in KMgBi
• Anomalous transport properties of Dirac and Weyl semimetals
• Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
• Electronic Cooling in Weyl and Dirac Semimetals
• Hall viscosity from elastic gauge fields in Dirac crystals
• Hear the Sound of Weyl Fermions
• Dirac semimetals $A_{3}Bi$ ($A$=Na,K,Rb) as $Z_2$ Weyl semimetals
• An ab-initio study of circular photogalvanic effect in chiral multifold semimetals
• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• The semiclassical theory of anomalous transport in type-II topological Weyl semimetals
• Chiral nodes and oscillations in the Josephson current in Weyl semimetals
• Signature of chiral fermion instability in the Weyl semimetal TaAs above the quantum limit
• Bulk Signatures of Pressure-Induced Band Inversion and Topological Phase Transitions in Pb${}_{1-x}$Sn${}_x$Se
• Second-order chiral kinetic theory: Chiral magnetic and pseudomagnetic waves
• Quantum Transport in Topological Semimetals under Magnetic Fields (II)
• Large enhancement of conductivity in Weyl semimetals with tilted cones: Pseudorelativity and linear response
• Quantum oscillations in acoustic phonons in Weyl semimetals
• Surface Fermi arcs in $Z_2$ Weyl semimetals $A_{3}Bi$ (A=Na, K, Rb)
• From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation
• Intrinsic Magnetoresistance in Three-Dimensional Dirac Materials
• $0$-$\pi$ transitions in a Josephson junction of irradiated Weyl semimetal
• Dynamical correlation functions and the related physical effects in three-dimensional Weyl/Dirac semimetals
• Magnetotransport in the Weyl semimetal in the quantum limit - the role of the topological surface states
• Surface States in Holographic Weyl Semimetals
• Transversal magnetoresistance and Shubnikov-de Haas oscillations in Weyl semimetals
• Drag suppression in anomalous chiral media
• Robust negative longitudinal magnetoresistance and spin-orbit torque in sputtered Pt3Sn topological semimetal
• Density of states and magnetotransport in Weyl semimetals with long-range disorder
• Electronic properties of disordered Weyl semimetals at charge neutrality
• Origin of Bardeen-Zumino current in lattice models of Weyl semimetals
• Positive Magneto-conductivity of Weyl Semimetals in the Ultra-quantum Limit
• Fermi arc mediated entropy transport in topological semimetals
• Hamiltonian approach to the torsional anomalies and its dimensional ladder
• Chiral anomalies induced transport in Weyl semimetals in quantizing magnetic field
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Anomalous Hall transport in tilted multi-Weyl semimetals
• Weyl nodal point-line Fermion in ferromagnetic Eu${}_5$Bi${}_3$
• Magnetotransport in Weyl semimetal nanowires
• Phonon-limited Transport and Fermi Arc Lifetime in Weyl Semimetals
• Negative magnetoresistivity in holography
• Predicting Dirac semimetals based on Sodium Ternary Compounds
• Disorder and magnetoconductivity in tilted Weyl semimetals
• Disorder and magnetic transport in tilted Weyl semimetals
• Chiral response in lattice models of Weyl materials
• Quantum oscillations as a probe of interaction effects in Weyl semimetals in a magnetic field
• Transport through Andreev bound states in a Weyl semimetal quantum dot
• Anomalous transport from holography: Part II
• Anomaly-induced transport phenomena from the imaginary-time formalism
• Anisotropic magnetotransport in Dirac-Weyl magnetic junctions
• Disorder-induced coupling of Weyl nodes in WTe${}_2$
• Localization effects on magnetotransport of a disordered Weyl semimetal
• Magneto-transport in an anomalous fluid with weakly broken symmetries, in weak and strong regime
• Electrical conductivity of hot relativistic plasma in a strong magnetic field
• Transversal magnetotransport in Weyl semimetals: Exact numerical approach
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• Renormalization Group Approach to Stability of Two-dimensional Interacting Type-II Dirac Fermions
• Unconventional thermoelectric transport in tilted Weyl semimetals
• Inflation in supergravity from field redefinitions
• High-field magnetoconductivity of topological semimetals with short-range potential
• Quantum oscillations of the nonlinear planar effects signifying chiral anomaly in Weyl Semimetals
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Time-reversal invariant topological skyrmion phases
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
• Topological semimetal with coexisting nodal points and nodal lines
• Nernst Thermopower of Time-Reversal Breaking Type-II Weyl Semimetals
• Linear magneto-conductivity as a DC probe of time-reversal symmetry breaking
• Negative magnetoresistivity in chiral fluids and holography
• Anomalous magnetoconductivity and relaxation times in holography
• Magneto tunnel conductance across twisted Weyl semimetal junctions
• Magneto-conductivity and CME in Dirac semimetals from Keldysh technique in Landau levels basis
• Chiral kinematic theory and converse vortical effects
• Anomalous Chiral Anomaly in Spin-1 Fermionic Systems
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields
• Advances in Synthetic Gauge Fields for Light Through Dynamic Modulation
• Anomalous massless modes