  We study the quantum nonlinear planar Hall effect in bilayer graphene under a
steady in-plane magnetic field. When time-reversal symmetry is broken by the
magnetic field, a charge current occurs in the second-order response to an
external electric field, as a result of the Berry curvature dipole in momentum
space. We have shown that a nonlinear planar Hall effect originating from the
anomalous velocity is deduced by an orbital effect of an in-plane magnetic
field on electrons in bilayer graphene in the complete absence of spin-orbit
coupling. Taking into account the symmetry analysis, we derived the dominant
dependence of Berry curvature dipole moment on the magnetic field components.
Moreover, we illustrate how to control and modulate the Berry curvature dipole
with an external planar magnetic field, gate voltage, and Fermi energy.

Mesoscale and Nanoscale Physics