CRITICAL BEHAVIOUR OF FERROELECTRIC THIN FILMS

Abstract

Based on an Ising model in a transverse field (TIM) and using a Green's function formalism the critical exponents of the polarization β and of the longitudinal susceptibility γ are calculated for a ferroelectric thin film consisting of N layers. The exponents depends on the number of layers in a significant manner. Whereas for N=3 layers the exponents are β=0.131 and γ=1.739 there is a change over to β=0.315 and γ=1.239 in case of N=30. The datas are in a good agreement with predictions for 2D and 3D Ising systems. Using scaling laws other exponents like α, δ, η and ν are obtained, too.