Thermal and gravitational chiral anomaly induced magneto-transport in Weyl semimetals

Abstract

Quantum anomalies in Weyl semimetal (for either $\mathbf{E}\cdot \mathbf{B}\ne 0$ or $\nabla T\cdot \mathbf{B}\ne 0$) leads to chiral charge and energy pumping between the opposite chirality nodes. This results in chiral charge and energy imbalance between the Weyl nodes which manifests in several intriguing magneto-transport phenomena. Here, we investigate the role of electrical-, thermal-, and gravitational chiral anomaly on magneto-transport in Weyl semimetals. We predict the planar Ettinghausen and Righi-Leduc effect to be a distinct signature of these quantum anomalies. We also demonstrate a significant enhancement in the thermo-electric conductivity, Seebeck effect, Nernst effect and thermal conductivity with increasing temperature. Interestingly, this anomaly induced transport violates the Wiedemann-Franz law and Mott relation.

5 pages, 4 figures. Comments/Criticism is welcome; References updated + minor corrections

References in corpus (10)

• Topological response in Weyl semimetals and the chiral anomaly
• Berry phase effect in anomalous thermoelectric transport
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Gravitational Anomaly and Transport
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Thermoelectric properties of Weyl and Dirac semimetals
• Carrier screening, transport, and relaxation in 3D Dirac semimetals
• Dynamic current-current susceptibility in 3D Dirac and Weyl semimetals
• Thermopower and thermal conductivity in the Weyl semimetal NbP
• Role of axion electrodynamics in Weyl metal: Violation of Wiedemann-Franz law

Cited by in corpus (21)

• Quantum geometry induced second harmonic generation
• Thermal transport, geometry, and anomalies
• Topological Hall effect in the antiferromagnetic Dirac semimetal EuAgAs
• Magnus Nernst and thermal Hall effect
• Intrinsic Hall conductivities induced by the orbital magnetic moment
• Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field
• Chiral anomaly induced nonlinear Nernst and thermal Hall effects in Weyl semimetals
• Thermoelectric response in nodal-point semimetals
• Chiral anomalies induced transport in Weyl semimetals in quantizing magnetic field
• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Planar Hall Effect in Quasi-Two-Dimensional Materials
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Relaxation terms for anomalous hydrodynamic transport in Weyl semimetals from kinetic theory
• Chiral anomaly and internode scatterings in multifold semimetals
• Unconventional thermoelectric transport in tilted Weyl semimetals
• Odd-parity longitudinal magnetoconductivity in time-reversal symmetry broken materials
• Quantum matter and gravitation: photons in a waveguide
• Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals