  The magnetoelectric effect and skyrmions are two fundamental phenomena in the
field of condensed-matter physics. Here, using first-principles calculations
and Monte-Carlo simulations, we propose that strong magnetoelectric coupling
can be demonstrated in a multiferroic heterobilayer consisting of
two-dimensional (2D) MnSTe and {\alpha}-In2Se3. As the electric polarization in
ferroelectric {\alpha}-In2Se3 is switched, the creation and annihilation of
topological magnetic phase can be achieved in this multiferroic heterobilayer,
giving rise to the intriguing ferroelectrically controllable skyrmions. This
feature is further revealed to be closely related to the physical quantity of
D2/|KJ|, which is generally applicable for describing the required conditions
of such physics. Moreover, the evaluations of their topological magnetic phases
with temperature are systematically discussed. These insights not only greatly
enrich the research on 2D magnetoelectric multiferroics, but also pave a
promising avenue to realize new skyrmionic device concepts.
