  The ability to engineer the electronic band structure and, more strikingly,
to access new exotic phase of matter has been the cornerstone of the advance of
science and technology. Twisting van der Waals materials to form moir\'e
superlattice is a powerful paradigm and can drive graphene from a normal
metallic state into an insulating, superconducting, or ferromagnetic states.
Here, we present a new route to create non-trivial band structure and
consequently an exotic phase of matter via lithographically patterned strain
(lattice deformation). This method is used to realize an artificially
corrugated bilayer graphene wherein the real-space and momentum-space
pseudo-magnetic fields (Berry curvatures) coexist and have nontrivial
properties, namely, the Berry curvature dipole. This new class of
condensed-matter systems enables us to observe the so-called nonlinear
anomalous Hall effect and a new type of Hall effect without breaking the
time-reversal symmetry. Such artificial material system and our approach to
unconventional electronic states may open an avenue of geometrical and/or
topological quantum phenomena as well as that of band engineering in van der
Waals crystals.
