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

TL;DR

This paper investigates the phase transition behavior of a finite ferroelectric superlattice using the transverse Ising model, deriving the Curie temperature dependence on layer thickness and exchange interactions.

Contribution

It introduces a transfer matrix approach to analyze phase transitions in finite ferroelectric superlattices modeled by the transverse Ising framework.

Findings

Curie temperature depends on layer thickness and exchange constants.

Derived an explicit equation for the Curie temperature of the superlattice.

Numerical analysis shows how phase transition properties vary with superlattice parameters.

Abstract

We consider a finite ferroelectric superlattice in which the elementary unit 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 properties of the ferroelectric superlattice. Using the transfer matrix method we derive the equation for the Curie temperature of the superlattice. Numerical results are given for the dependence of the Curie temperature on the thickness and exchange constants of the superlattice.