Surface state on first-order ferroelectrics

J. Osman (), D. R. Tilley, R. Teh, Y. Ishibashi, M. N.A. Halif and K.-H. Chew

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 52, issue 1, 143-150

Abstract: In the presence of a surface the Landau-Devonshire equations of ferroelectricity must be extended to include a boundary condition. For a ferroelectric with a second-order transition in the case when the polarization p(z) increases at the surface, it is well known that a surface state occurs in a range of temperature above the bulk critical temperature t CB . Here we explore the corresponding effect for a first-order ferroelectric. We show that a surface state can occur, but only if the surface effect is sufficiently strong. Analytic expressions are derived and illustrated for p(z), the surface value p S =p(0) and the free energy. The transition from the paraelectric state (p=0) to the surface state is first order, and for completeness we establish the dependence of the three critical temperatures (supercooling, thermodynamic and superheating) on a boundary-condition parameter y. In a final section, we derive and illustrate expressions for p(z)in the temperature range t>t CB . Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 77.80.Bh Phase transitions and Curie point; 68.35.Rh Phase transitions and critical phenomena; 73.20.-r Electron states at surfaces and interfaces (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00271-1

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