Thickness Dependence of Random Field Distribution in Thin Films Made of Disordered Ferroelectrics

Abstract

We present the calculation of first moment E ₀ and variance ΔE of distribution function of random fields in a ferroelectric of finite size. Specific calculations have been performed for the case of slab-shaped ferroelectric thin film. We have shown that E ₀ and ΔE can be expressed through the integrals from first and second degree of Green's function of ferroelectric in k-space. To obtain the Green's function, we solve the differential equation minimizing Landau free energy of a ferroelectric with respect to the boundary conditions on its surfaces. We show that both E ₀ and ΔE depend on film thickness L.

Keywords:

• Ferroelectric thin films
• disordered ferroelectric
• random field
• distribution function

PACS:

• 77.55+f
• 77.80.DJ
• 77.80.Bh