  Long-range effects on the pyroelectric coefficient and susceptibility of a
ferroelectric bilayer with a ferroelectric interfacial coupling are
investigated by use of the transverse Ising model within the framework of
mean-field theory. The effects of the interfacial coupling and the transverse
field on the pyroelectric coefficient and susceptibility of the bilayer are
investigated by taking into account the long-range interaction. It is found
that the pyroelectric coefficient and susceptibility increase with the decrease
of the magnitude of the long-range interaction and the interfacial coupling
when the temperature is lower than the phase transition temperature. We also
find that the strong long-range interaction, the large transverse field and
weak interfacial coupling can lead to the disappearance of some of the peaks of
the pyroelectric coefficient and susceptibility of the ferroelectric bilayer.
The phase transition temperature increases with the increase of the strength of
the long-range interaction, which is similar to the results obtained in
ferroelectric multi-layers or superlattice.
