Atomistic simulations show that there are long-ranged ferroelectric interac
tions between the ferroelectric layers in ferroelectric/paraelectric superl
attices mediated by continuous chains of polarization running through the i
ntervening paraelectric layers. The resulting behavior of the superlattice
is strongly dependent on the modulation length. At short modulation lengths
the superlattice acts as a single-component system; at long modulation len
gths the individual ferroelectric layers act almost independently.