Landau theory of ferroelectric transition in long cylindrical nanoparticles

P. Khare () and D. Sa

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 63, issue 2, 205-209

Abstract: Using a phenomenological Landau theory, the size dependence on ferroelectric transition for free-standing long cylindrical nanoparticles is discussed. We derive the size dependence of the transition temperature, polarization profile as well as the static susceptibility. The transition temperature vanishes below a critical size where the static susceptibility shows divergence obeying Curie-Weiss law. In order to make this result compared with experiments, the average polarization and the susceptibility is computed with a Gaussian particle size distribution. The average polarization in such a case shows smearing with respect to the particle size whereas the divergence in the susceptibilty gets rounded. This might correspond to a size dependent soft mode which can be observed in Raman measurement. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Keywords: 64.70.Nd Structural transitions in nanoscale materials; 77.80.-e Ferroelectricity and antiferroelectricity; 77.84.Dy Niobates; titanates; tantalates; PZT ceramics; etc. (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1140/epjb/e2008-00240-8

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