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Controlling magnetism using voltage is highly desired for applications, butremains challenging due to fundamental contradiction between polarity andmagnetism. Here we propose a mechanism to manipulate magnetic domain walls inferrimagnetic or ferromagnetic multiferroics using electric field. Differentfrom those studies based on static domain-level couplings, here themagnetoelectric coupling relies on the collaborative spin dynamics arounddomain walls. Accompanying the reversal of spin chirality driven bypolarization switching, a "rolling-downhill"-like motion of domain wall isachieved at the nanoscale, which tunes the magnetization locally. Our mechanismopens an alternative route to pursuit practical and fast conversemagnetoelectric functions via spin dynamics.

Manipulation of magnetic domain wall by ferroelectric switching: Dynamic magnetoelectricity at the nanoscale