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The magnetization and electric polarization of a polar antiferromagnetFe$_2$Mo$_3$O$_8$ are studied up to 66 T for spin-saturation magnetic fieldsapplied along the polar axis. The magnetization process at 1.4 K exhibitedmultistep structures below the saturation field of 65 T. The electricpolarization along the polar axis exhibits a similar multistep behavior with atotal change of 1.2 $\rm{\mu}C/cm^{2}$. A combined triangular-latticeantiferromagnetic model with strong Ising-type spin anisotropy reproduces thismultistep magnetoelectric (ME) effect. The exchange striction mechanismexplains the remarkable ME response in the two sub-lattice type-I multiferroicmaterials. These results and interpretation demonstrate a method for realizingmultistage magnetoelectric effects in hybrid spin systems.

Multiple Magnetoelectric Plateaux in Polar Magnet Fe$_2$Mo$_3$O$_8$