Anomalous transport model with axial magnetic fields

Abstract

The transport properties of massless fermions in $3+1$ spacetime dimension have been in the focus of recent theoretical and experimental research. New transport properties appear as consequences of chiral anomalies. The most prominent is the generation of a current in a magnetic field, the so-called chiral magnetic effect leading to an enhancement of the electric conductivity (negative magnetoresistivity). We study the analogous effect for axial magnetic fields that couple with opposite signs to fermions of different chirality. We emphasize local charge conservation and study the induced magneto-conductivities proportional to an electric field and a gradient in temperature. We find that the magnetoconductivity is enhanced whereas the magneto-thermoelectric conductivity is diminished. As a side result we interpret an anomalous contribution to the entropy current as a generalized thermal Hall effect.

v3: 16 pages, matches published version

References in corpus (9)

• Theory of universal incoherent metallic transport
• Gravitational Anomaly and Transport
• Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
• Relativistic Hydrodynamics with General Anomalous Charges
• Thermoelectric properties of Weyl and Dirac semimetals
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Global Anomalies, Discrete Symmetries, and Hydrodynamic Effective Actions
• Chiral magnetic superconductivity

Cited by in corpus (8)

• Pseudo-electromagnetic fields in topological semimetals
• Thermal transport, geometry, and anomalies
• Torsional Landau levels and geometric anomalies in condensed matter Weyl systems
• Chiral Hall effect in strained Weyl semimetals
• Chiral magnetic response to arbitrary axial imbalance
• Non-equilibrium dynamics in Holography
• Analogous BMS Symmetry in QED and Quantum Anomaly in Dirac and Weyl Semimetals
• Study on axial fields in the dynamically assisted Schwinger effect