Nonlinear chiral magnetoconductivity induced by Zeeman field in magnetic Weyl semimetals

The coupling between the Zeeman field and the Newtonian mass in magnetic Weyl semimetals (WSMs) can induce a tilt of the Weyl cones and generate a nontopological chiral chemical potential, offering a new avenue for the exploration of nonlinear transport phenomena. Based on the semiclassical Boltzmann transport theory, we systematically investigate the physical origin and tuning mechanism of the nonlinear anomalous Hall effect (AHE) and nonlinear planar magnetoconductivity (PMC) induced by the Zeeman field in magnetic WSMs. We find that the nonlinear anomalous Hall magnetoconductivity (AHMC) arises along the the out-of-plane direction and can be decomposed into a Berry curvature dipole (BCD) term arising from intravalley scattering and a chiral anomaly term arising from intervalley scattering. These two contributions exhibit distinctly different Fermi energy dependences. Among the contributions to the nonlinear PMC, that from the chiral magnetic effect dominates, with its magnitude comparable to that of the nonlinear Drude term and much larger than the coupling term between the chiral anomaly and the chiral magnetic effect. Moreover, by adjusting the Fermi energy, the system can be continuously tuned across different nonlinear transport mechanisms. Notably, in magnetic WSMs with preserved spatial inversion symmetry, the contributions from opposite nodes cancel each other out, resulting in a net nonlinear response of zero. This reveals the sensitive dependence of the nonlinear magnetoconductivity on spatial inversion symmetry. This work provides provides theoretical guidance for the design of novel nonreciprocal electronic devices based on topological quantum materials.