Journal
AMERICAN JOURNAL OF PHYSICS
Volume 76, Issue 1, Pages 31-38Publisher
AMER INST PHYSICS
DOI: 10.1119/1.2800353
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A simple analytical approximation based on Landau-Ginzburg theory is developed for ferroelectric thin films with continuous and first-order phase transitions. We show that the polarization profile can be conveniently modeled by a power series expansion that allows us to re-express the Landau-Ginzburg free energy as an effective Landau-Devonshire free energy. Simple expressions are obtained for the properties of ferroelectric films. It is found that the calculated properties based on our effective Landau-Devonshire theory are consistent with numerical results from the Landau-Ginzburg theory. (C) 2008 American Association of Physics Teachers.
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