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Using effective-field theory with correlations, we investigate the effects ofinterfacial pseudo-spin coupling fluctuations on the susceptibility andpolarization of ferroelectric superlattices within the framework of transverseIsing model. It is found that the interfacial coupling fluctuations increasethe susceptibility in the low temperature region. For a strong interfacialcoupling, the phase transition temperature decreases with the strength offluctuations of the interfacial coupling. The dependence of the susceptibilityon the superlattice period of $BaTiO_{3}/SrTiO_{3}$ are plotted for differentinterfacial coupling fluctuations strength. At room temperature, when theinterfacial coupling fluctuation increases, the peak position of thesusceptibility will shift to a large superlattice period.Comment: 14 pages, 5 figures, RevTex

EFFECTS OF INTERFACIAL PSEUDO-SPIN COUPLING FLUCTUATIONS ON THE DIELECTRIC PROPERTIES OF FERROELECTRIC SUPERLATTICES