  Since the discovery of two-dimensional ferroelectric and ferromagnetic
materials, the van der Waals (vdW) heterostructures constructed by
ferroelectric and ferromagnetic monolayers have soon become the ideal platforms
to achieve converse magnetoelectric functions at the nanoscale, namely to use
electric field to control magnetization. In this Letter, by employing density
functional theory calculations and dynamic simulations of atomic spin model, we
study the key role of interfacial Dzyaloshinshii-Moriya interaction (DMI) in
CrI$_3$-In$_2$Se$_3$ vdW heterostructures. Our work demonstrates feasible DMI
torques pumped by ferroelectric switching, which can drive current-free and
low-energy consumption domain wall motion. Moreover, such interfacial DMI can
also significantly enlarge the Walker field in magnetic field-driven domain
wall technique.
