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Landau theory of ferroelectric transition in long cylindrical nanoparticles

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  • P. Khare
  • D. Sa

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

Suggested Citation

  • P. Khare & D. Sa, 2008. "Landau theory of ferroelectric transition in long cylindrical nanoparticles," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 63(2), pages 205-209, May.
    • Handle: RePEc:spr:eurphb:v:63:y:2008:i:2:p:205-209
    DOI: 10.1140/epjb/e2008-00240-8
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