Chiral anomaly induced nonlinear Nernst and thermal Hall effects in Weyl semimetals

Abstract

Chiral anomaly or Adler-Bell-Jackiw anomaly in Weyl semimetals (WSMs) has a significant impact on the electron transport behaviors, leading to remarkable longitudinal or planar electrical and thermoelectric transport phenomena in the presence of electromagnetic gauge fields. These phenomena are consequences of the imbalanced chiral charge and energy induced by chiral anomaly in the presence of parallel electric ($\mathbf{E}$) and magnetic ($\mathbf{B}$) fields ($\mathbf{E}\cdot \mathbf{B}\ne 0$) or $(\mathbf{B}\cdot \nabla T\ne 0)$ ($\nabla T$ is the thermal gradient). We here propose another two fascinating transport properties, namely, the nonlinear planar Nernst effect and nonlinear planar thermal Hall effect induced by chiral anomaly in the presence of $\mathbf{B}\cdot \nabla T\ne 0$ in WSMs. Using the semiclassical Boltzmann transport theory, we derive the analytical expressions for the chiral anomaly induced nonlinear Nernst and thermal Hall transport coefficients and also evaluate the fundamental mathematical relations among them in the nonlinear regime. The formulas we find in this current work are consistent with that predicted for the nonlinear anomalous electrical and thermoelectric effects induced by Berry curvature dipole recently. Additionally, in contrast to the recent work, by utilizing the lattice Weyl Hamiltonian with intrinsic chiral chemical potential, we find that the chiral anomaly induced nonlinear planar effects can exist even for a pair of oppositely tilted or non-tilted Weyl cones in both time reversal and inversion broken WSMs. The chiral anomaly induced nonlinear planar effects predicted here along with the related parameter dependencies are hence possible to be realized in realistic WSMs in experiment.

Published version

References in corpus (16)

• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Berry phase effect in anomalous thermoelectric transport
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Anomalous Hall Effect in Weyl Metals
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Thermoelectric properties of Weyl and Dirac semimetals
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Anomalous Nernst and Thermal Hall Effects in Tilted Weyl Semimetals
• Nonlinear transport in Weyl semimetals induced by Berry curvature dipole
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Hybrid Weyl Semimetal
• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Chiral anomaly induced nonlinear Hall effect in multi-Weyl semimetals
• Thermal and gravitational chiral anomaly induced magneto-transport in Weyl semimetals
• Anomalous Nernst effect in type-II Weyl semimetals

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• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Band tilt induced nonlinear Nernst effect in topological insulators: An efficient generation of high-performance spin polarization
• Gravitational anomaly in the ferrimagnetic topological Weyl semimetal NdAlSi
• Finite-Momentum Instability of Dynamical Axion Insulator
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Interband contributions to nonlinear transport in semiconductor nanostructures
• Quantum oscillations of the nonlinear planar effects signifying chiral anomaly in Weyl Semimetals
• Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
• Light-induced Nonlinear Spin Hall Current in Single-layer WTe${}_2$
• Semimetallic and semiconducting graphene-hBN multilayers with parallel or reverse stacking
• Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals
• Design Principles for Topological Thermoelectrics