  We study the magneto-optical Kerr effect (MOKE) of the two-dimensional
heterostructure CrI3/In2Se3/CrI3 by using density functional theory
calculations and symmetry analysis. The spontaneous polarization in the In2Se3
ferroelectric layer and the antiferromagnetic ordering in CrI3 layers break the
mirror symmetry and the timereversal symmetry, thus activating MOKE. We show
that the Kerr angle can be switched by either the polarization or the
antiferromagnetic order parameter. Our results suggest that ferroelectric and
antiferromagnetic 2D heterostructures could be exploited for ultra-compact
information storage devices, where the information is encoded by the two
ferroelectric or the two time-reversed antiferromagnetic states, and the
read-out performed optically by MOKE.
