A pseudo-two-dimensional Ising model of ferroelectrics

Abstract

In this paper we consider an Ising bilayer as a chain of simple ladders, characterized by intra-ladder and inter-ladder couplings, to study in detail the para- and ferroelectric behaviours (also considering the electrostrictive corrections in the intra-ladder direction of the plane) for different ratios of interaction constants and different values of electric field, by using a transfer matrix method for the intra-ladder interactions and the MF approximation for the inter-ladder interactions. In the particular case in which the interaction between two layers (planes) is taken to be zero, our results reproduce entirely those obtained previously for a pseudo-one-dimensional Ising model, which explains the experimental data well for the thermodynamic properties of 1D ferroelectrics such as (d-CDP).