Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
Phys. Rev. B 113, 035112 – Published 5 January, 2026
DOI: https://doi.org/10.1103/cwlr-h39s
Abstract
Authors of recent studies have shown that the chiral anomaly (CA) is not limited to Weyl semimetals but is also shown by a larger class of materials called spin-orbit-coupled noncentrosymmetric metals (SOC-NCMs), which has shed more insight into the origin of the CA as a Fermi surface property rather than a nodal property. In this study, we explore nonlinear transport responses in SOC-NCMs within the framework of semiclassical dynamics, employing the Maxwell-Boltzmann transport theory augmented by charge conservation and momentum-dependent scattering processes. We consider both nonmagnetic and magnetic impurity scattering mechanisms. We demonstrate that the CA-induced nonlinear Hall (CNLH) response exhibits a characteristic quadratic dependence on the applied magnetic field and remains negative for both types of impurities. We find that magnetic scatterers leading to enhanced or suppressed interband scattering modify the magnitude of the signal but do not affect its qualitative behavior. In contrast, the presence of tilt in the band dispersion induces a pronounced anisotropic response, including a magnetic field direction-dependent sign reversal that can be categorized into weak and strong regimes. Furthermore, the CNLH response shows substantial directional anisotropy governed by the relative orientation of the external magnetic field and the tilt vector. Our findings will be helpful in designing the experimental setup to get direction-dependent conductivity, which can be tuned externally with the help of magnetic impurity sites.
