Chiral Anomaly Induced First And Second Order Planar Transport In Three Dimensional Spin Orbit Coupled Metallic Systems

In this study, we focus on computing the chiral anomaly-induced first- and second-order planar Hall/ Nernst coefficients in three-dimensional spin-orbit coupled noncentrosymmetric metallic systems. These systems are distinct from Weyl semimetals (WSMs), and host non-relativistic fermions in three dimensions, but have multiple Fermi surfaces with fluxes of opposite Berry curvature similar to Weyl semimetals. Recent studies have investigated chiral anomaly-induced electronic and thermal transport properties in these systems in analogy with those in WSMs. Working with the semiclassical Boltzmann theory in the relaxation time approximation, we calculate the non-linear planar Hall/ Nernst effects, quadratic in the applied electric field and temperature gradient, and make several predictions that can be tested in experiments.