Chiral anomaly induced nonlinear Hall effect in semimetals with multiple Weyl points

After the experimental realization, the Berry curvature dipole (BCD) induced nonlinear Hall effect (NLHE) has attracted tremendous interest to the condensed matter community. Here, we investigate another family of Hall effect, namely, chiral anomaly induced nonlinear Hall effect (CNHE) in multi-Weyl semimetal (mWSM). In contrast to the BCD-induced NLHE, CNHE appears because of the combination of both chiral anomaly and anomalous velocity due to nontrivial Berry curvature. Using the semiclassical Boltzmann theory within the relaxation time approximation, we show that, in contrast to the chiral anomaly induced linear Hall effect, the magnitude of CNHE decreases with the topological charge n. Interestingly, we find that the CNHE has different behaviors in different planes for single and triple Weyl semimetals. Our prediction on the behavior of CNHE in mWSM can directly be checked in experiments.