Phase transition properties of a finite ferroelectric superlattice from the transverse Ising model

We consider a finite ferroelectric superlattice in which the elementary uni t cell is made up of l atomic layers of type A and n atomic layers of type B. Based on the transverse Ising model we examine the phase transition prop erties of the ferroelectric superlattice. Using the transfer matrix method we derive the equation for the Curie temperature of the superlattice. Numer ical results are given for the dependence of the Curie temperature on the t hickness and exchange constants of the superlattice.