Surface Effects on Dielectric Susceptibility of a Semi-infinite Ferroelectric

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Abstract
The profile of susceptibility near the surface of a semi-infinite ferroelectric is calculated from Landau free energy. In surface ferroelectric phase, the susceptibility is reduced at surface for|δ| << β and much enhanced for|δ| similar β, where δ and β are the extrapolation length and the coherent length respectively. In ferroelectric phase, the surface susceptibility is generally reduced for δ < 0. But the curve is not monotonic, there is a minimum in the surface layer. For δ > 0, the surface susceptibility is reduced for δ << β and enhanced for δ similar β. The curve has a maximum in the surface layer.