Role of boundary conditions, topology and disorder in the chiral magnetic effect in Weyl semimetals

Abstract

Quantum field theory predicts Weyl semimetals to possess a peculiar response of the longitudinal current density to the application of a DC magnetic field. Such a response function has been shown to be at odds with a general result showing the vanishing of the bulk current in an equilibrium system on any real material with a lattice in an external magnetic field. Here we resolve this apparent contradiction by introducing a model where a current flows in response to a magnetic field even without Weyl nodes. We point out that the previous derivation of a vanishing CME in the limit of vanishing real frequency is a consequence of the assumption of periodic boundary conditions of the system. A more realistic system with open boundary conditions is not subject to these constraints and can have a non-vanishing CME. Consistent with recent work, we found the finite frequency CME to be non-vanishing in general when there was a non-vanishing Berry curvature on the Fermi surface. This does not necessitate having a topological Berry flux as in the case of a Weyl node. Finally, we study how the perturbation theory in magnetic field might be more stable in the presence of disorder. Using the standard diagrammatic treatment of disorder within the Born approximation, we have found that in a realistic disordered system, the chiral magnetic response is really a dynamical phenomena and vanishes in the DC limit.

8 pages, 3 figures, 2 pages of appendix; Revised and expanded, title updated

References in corpus (16)

• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Experimental discovery of Weyl semimetal TaAs
• Experimental observation of Weyl points
• Topological response in Weyl semimetals and the chiral anomaly
• Chiral anomaly and transport in Weyl metals
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Gyrotropic magnetic effect and the magnetic moment on the Fermi surface
• Chiral magnetic effect and natural optical activity in (Weyl) metals
• Generalized Bloch theorem and chiral transport phenomena
• Dirty Weyl semimetals: Stability, phase transition and quantum criticality
• Chiral magnetic effect in two-band lattice model of Weyl semimetal
• Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
• Disorder driven itinerant quantum criticality of three dimensional massless Dirac fermions
• Scattering theory of the chiral magnetic effect in a Weyl semimetal: Interplay of bulk Weyl cones and surface Fermi arcs
• Chiral Magnetic Effect and Anomalous Hall Effect in Antiferromagnetic Insulators with Spin-Orbit Coupling
• Chiral magnetic effect in the absence of Weyl node

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• Magnetovortical and thermoelectric transport in tilted Weyl metals
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• Universal chiral magnetic effect in the vortex lattice of a Weyl superconductor
• Chiral anomaly without Landau levels: From the quantum to the classical regime
• Topological magnetoelectric pump in three dimensions
• Hydrodynamic description of Weyl fermions in condensed state of matter
• Interaction robustness of the chiral anomaly in Weyl semimetals and Luttinger liquids from a mixed anomaly approach