By Vladimir Fridkin, Stephen Ducharme
The research of nanosized ferroelectric motion pictures and ferroelectric nanocrystals has attracted a lot realization in the past 15 – two decades. there's curiosity within the primary and utilized features. The theoretical foundation is attached with the improvement of the Landau-Ginzburg-Devonshire (LGD) suggest box and the 1st rules theories to the ultrathin ferroelectric movies with thickness within the region of severe dimension. very important capability functions are attainable nanosize ferroelectric motion pictures in non-volatile stories, microelectronics, sensors, pyroelectric and electro-optic units. This new region of study of ferroelectricity continues to be in impetuous improvement and much from crowning glory. Many themes elucidated desire generalization. The booklet includes conception and experimental facts for quite a lot of ferroelectric materials.
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Additional resources for Ferroelectricity at the Nanoscale: Basics and Applications
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It is the ratio between the thickness of the film l and the size l* of the critical domain nucleus in the direction of switching (lets suppose, c-direction for perovskites). Let us accept, that in the case of the ultrathin films l and l* are of the same order of magnitude. Of course this definition is very rough and relative. It was shown (see Chap. 6 [4, 5]), that the value of l* depends on polarization. lÃ $ P1=2 ; if we suppose, that the surface energy of a 180° domain wall rw and its thickness tw do not depend on P.
As already mentioned, the extrinsic nature of the size effect and the influence of the mismatch effect have been pointed out in . 4 shows the phenomenological dependence of polarization in BaTiO3 films on the squeeze strain Sm caused by the mismatch effect. The parameter of the curves is the film thickness normalized to the correlation length, l/n. In some papers [28–30], it was suggested that one cannot expect the size effect to be revealed and the critical size to be estimated in the framework of mean field Fig.