Relaxation terms for anomalous hydrodynamic transport in Weyl semimetals from kinetic theory

Abstract

We consider as a model of Weyl semimetal thermoelectric transport a $(3+1)$-dimensional charged, relativistic and relaxed fluid with a $U(1{)}_V\times U(1{)}_A$ chiral anomaly. We take into account all possible mixed energy, momentum, electric and chiral charge relaxations, and discover which are compatible with electric charge conservation, Onsager reciprocity and a finite DC conductivity. We find that all relaxations respecting these constraints necessarily render the system open and violate the second law of thermodynamics. We then demonstrate how the relaxations we have found arise from kinetic theory and a modified relaxation time approximation. Our results lead to DC conductivities that differ from those found in the literature opening the path to experimental verification.

26 pages, no figures; v3, acknowledgment added

References in corpus (13)

• Thermoelectric properties of Weyl and Dirac semimetals
• Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation
• Hydrodynamic approach to two-dimensional electron systems
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Thermal transport, geometry, and anomalies
• Multicomponent relativistic dissipative fluid dynamics from the Boltzmann equation
• Thermal and gravitational chiral anomaly induced magneto-transport in Weyl semimetals
• Hydrodynamics of charged two-dimensional Dirac systems I: thermo-electric transport
• Hydrodynamic approach to electronic transport in graphene: energy relaxation
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Non-dissipative electrically driven fluids
• Restoring time-reversal covariance in relaxed hydrodynamics
• Leading order magnetic field dependence of conductivities in anomalous hydrodynamics

Cited by in corpus (6)

• Chiral magnetic waves in strongly coupled Weyl semimetals
• Thermodynamic constraints and exact scaling exponents of flocking matter
• Relaxation time approximation revisited and non-analytical structure in retarded correlators
• Dissipative electrically driven fluids
• The Hamiltonian mechanics of exotic particles
• A Consistent Holographic Analysis of Anomaly-induced Charge Transport in the D3/D7 Model