Chiral anomaly and classical negative magnetoresistance of Weyl metals

2012/06/07 by D. Son, D. T. Son, B. Z. Spivak +1 · 36 citations
Mathematics · Physics and Astronomy · #Anisotropy #Anomaly (physics) #Berry connection and curvature #Chiral anomaly #Condensed matter physics #Curvature #Electron #Fermi surface #Fermion #Geometric phase #Geometry #Magnetic field #Magnetoresistance #Mathematics #Physics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.88.104412

published as Phys .Rev. B 88 (2013) 104412 · 4 pages, 2 figures

arxiv created 2012/06/07 · openalex publication_date 2013/09/13 · arxiv updated 2015/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the classical magnetoresistance of a Weyl metal in which the electron Fermi surface possesses nonzero fluxes of the Berry curvature. Such a system may exhibit large negative magnetoresistance with unusual anisotropy as a function of the angle between the electric and magnetic fields. In this case the system can support an additional type of plasma wave. These phenomena are consequences of the chiral anomaly in electron transport theory.

Citations

• Chern Semimetal and the Quantized Anomalous Hall Effect inHgCr2Se4
• A PCAC puzzle: π0→γγ in the σ-model
• Absence of neutrinos on a lattice
• Time-reversal invariant realization of the Weyl semimetal phase
• Anomalous Hall effect
• Collective Modes of the Massless Dirac Plasma
• Topological insulators and superconductors
• Absence of neutrinos on a lattice
• Topological Insulators
• BERRY PHASE CORRECTION TO ELECTRON DENSITY IN SOLIDS AND "EXOTIC" DYNAMICS
• Berry phase effects on electronic properties
• Axial-Vector Vertex in Spinor Electrodynamics

Cited by

• Anisotropic magnetoresistance and magnetic field-tunable Weyl nodes in Weyl metal SrRuO₃ thin films
• Gyrotropic magnetic effect in metallic chiral magnets
• From Nodal Chain Semimetal to Weyl Semimetal in HfC
• Thermoelectric transport properties of Floquet multi-Weyl semimetals
• Chiral topological semimetal with multifold band crossings and long Fermi arcs
• Hidden Weyl points in centrosymmetric paramagnetic metals
• Emergent Weyl nodes and Fermi arcs in a Floquet Weyl semimetal
• Impurities in three-dimensional quadratic band-touching Luttinger semimetals: Friedel and RKKY oscillations
• Valley-dependent magnetoresistance in two-dimensional semiconductors
• Appearance of the universal value e2/h of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Quantum oscillations in acoustic phonons in Weyl semimetals
• Predicted scaling behavior of Bloch oscillation in Weyl semimetals
• Theory of wave-packet transport under narrow gaps and spatial textures: Nonadiabaticity and semiclassicality
• Magnetic Field in the Charged Subatomic Swirl
• Shedding light on topological superconductors
• Electrical manipulation of a topological antiferromagnetic state
• Weyl Nodal Point–Line Fermion in Ferromagnetic Eu5Bi3
• Dirac semimetalsA3Bi(A=Na,K,Rb)asZ2Weyl semimetals
• Axial Ward Identity and the Schwinger Mechanism: Applications to the Real-Time Chiral Magnetic Effect and Condensates
• Magnetotransport in multi-Weyl semimetals: a kinetic theory approach
• Electrically switchable Berry curvature dipole in the monolayer topological insulator WTe2
• Positive magnetoresistance induced by hydrodynamic fluctuations in chiral media
• Pseudomagnetic helicons
• Spectrum Collapse of Disordered Dirac Landau Levels as Topological Non-Hermitian Physics
• Noncommutativity of the static and homogeneous limit of the axial chemical potential in the chiral magnetic effect
• Topological semimetal in honeycomb lattice LnSI
• Photogalvanic effect in Weyl semimetals
• Competition between disorder and interaction effects in three-dimensional Weyl semimetals
• Collective modes in nodal line semimetals
• Triply degenerate nodal lines in topological and nontopological metals
• Aspects of the pseudo chiral magnetic effect in 2D Weyl-Dirac matter
• Experimental Tests of the Chiral Anomaly Magnetoresistance in the Dirac-Weyl Semimetals Na3Bi and GdPtBi
• Klein tunneling and magnetoresistance ofp−njunctions in Weyl semimetals
• Simulation and Manipulation of Tunable Weyl-Semimetal Bands Using Superconducting Quantum Circuits
• Evidence for Weyl fermions in a canonical heavy-fermion semimetal YbPtBi
• Adiabatic Chiral Magnetic Effect in Weyl semimetal wires

Related

• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Generic Chiral Anomaly and Planar Hall Effect in a Non-Weyl System
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Chiral magnetic effect of Weyl fermions and its applications to cubic noncentrosymmetric metals
• Quasiclassical electron transport in topological Weyl semimetals