Abstract
The Landau-Devonshire theory of ferroelectrics to date has concentrated mainly on bulk materials, thin film geometries, spherical geometries or other, essentially one-dimensional situations. By extending such calculations to three dimensions it is possible to consider a ferroelectric in the form of a box in which the influence of all surfaces of the box are included in the theory. This influence is expected to be important as the size of the box decreases and the surface to volume ratio increases. With interest in nanoscale materials burgeoning, it is of interest to study such size effects and how they influence the distribution in a ferroelectric box. This paper will show how Landau-Devonshire theory can be applied to such a box. After showing how spontaneous polarization profiles can be calculated, an outline of how Maxwell's equations together with Landau-Khalatnikov dynamical equations can be brought in to study the interaction of the nano-box with incident electromagnetic waves.
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