Helical magnetic effect and the chiral anomaly

Abstract

In the presence of the fluid helicity $\mathbf{v}\cdot \mathbf{\omega }$, the magnetic field induces an electric current of the form $\mathbf{j}=C_{\mathrm{HME}}(\mathbf{v}\cdot \mathbf{\omega })\mathbf{B}$. This is the helical magnetic effect (HME). We show that for massless Dirac fermions with charge $e=1$, the transport coefficient $C_{\mathrm{HME}}$ is fixed by the chiral anomaly coefficient $C=1/(2{\pi }^2)$ as $C_{\mathrm{HME}}=C/2$ independently of interactions. We show the conjecture that the coefficient of the magnetovorticity coupling for the local vector charge, $n=C_{B\omega }\mathbf{B}\cdot \mathbf{\omega }$, is related to the chiral anomaly coefficient as $C_{B\omega }=C/2$. We also discuss the condition for the emergence of the helical plasma instability that originates from the HME.

13 pages; v2: published version

References in corpus (12)

• The Chiral Magnetic Effect
• Generalized Global Symmetries
• Topological response in Weyl semimetals and the chiral anomaly
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Gravitational Anomaly and Transport
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• The Role of the Electron Mass in Damping Chiral Magnetic Instability in Supernova and Neutron Stars
• Charge redistribution from anomalous magnetovorticity coupling
• Bulk angular momentum and Hall viscosity in chiral superconductors
• Chiral torsional effect with finite temperature, density and curvature
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow

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• Helical Symmetry Breaking and Quantum Anomaly in Massive Dirac Fermions
• On Nieh-Yan Transport
• Euler-Heisenberg Lagrangian under an axial gauge field
• Helical Separation Effect and helical heat transport for Dirac fermions
• Preponderant Orbital Polarization in Relativistic Magnetovortical Matter
• Physics of strong electromagnetic fields in relativistic heavy-ion collisions
• Study on axial fields in the dynamically assisted Schwinger effect
• Vorticity-induced effects from Wess-Zumino-Witten terms