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A Landau Primer for Ferroelectrics

  • Chapter
Physics of Ferroelectrics

Part of the book series: Topics in Applied Physics ((TAP,volume 105))

Abstract

This contribution begins with a discussion of the homogeneous Landau theory for bulk ferroelectrics with spatially uniform polarizations, reviewing first- and second-order transitions and the dielectric response. Next, we allow the polarization to vary with position within a bulk sample, and discuss Landau–Ginzburg theory and correlation functions. Surface boundary conditions, corresponding to the situation for thin films, are then added and the resulting polarization profile is discussed. Here, screening effects, depolarization fields and strain will be important. The enigmatic extrapolation length is described with remarks about its underlying physical meaning. Then we switch to a treatment of inhomogeneous systems in the bulk, where strain effects and domain formation become very important. We end with a number of open questions for further exploration. Generally, we emphasize the underlying philosophy and methodology of this phenomenology.

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Chandra, P., Littlewood, P.B. (2007). A Landau Primer for Ferroelectrics. In: Physics of Ferroelectrics. Topics in Applied Physics, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34591-6_3

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