  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 non-trivial
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 unlike the case of n=1, the CNHE has different
behaviors in different planes. Our prediction on the behavior of CNHE in mWSM
can directly be checked in experiments.
