We investigate the nonlinear transverse planar transport phenomena (viz., nonlinear Hall, thermal Hall, and Nernst coefficients) induced by chiral anomaly in three-dimensional spin-orbit coupled metallic systems. Unlike Weyl semimetals, these systems do not possess multiple Weyl nodes located at isolated points in the momentum space but instead host a pair of Fermi surfaces characterized by opposite Berry curvature fluxes enclosing the same band-degeneracy point. Using semiclassical Boltzmann transport formalism within the relaxation time approximation, we derive the second-order transverse planar transport coefficients induced by electrical and thermal gradients in the presence of an in-plane magnetic field. Our analysis reveals distinctive angular dependencies of the nonlinear transport coefficients, along with characteristic scaling behavior with the magnetic field strength. Furthermore, we demonstrate that the anomaly induced transport coefficients exhibit an exponential temperature dependence. This unconventional behavior leads to the violations of the Wiedemann-Franz law and Mott relation, highlighting unique thermoelectric signatures that can be probed experimentally in three-dimensional spin-orbit coupled metallic systems.

Close

PrevNext

View figure in article

• Berry curvature
• Chirality
• Electrical conductivity
• Electronic structure
• Fermi surface
• Magnetotransport
• Spin-orbit coupling
• Thermal conductivity
• 3-dimensional systems
• Weyl semimetal
• Boltzmann theory
• Tight-binding model