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Surface state on first-order ferroelectrics

Author

Listed:
  • J. Osman
  • D. R. Tilley
  • R. Teh
  • Y. Ishibashi
  • M. N.A. Halif
  • K.-H. Chew

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

Suggested Citation

  • J. Osman & D. R. Tilley & R. Teh & Y. Ishibashi & M. N.A. Halif & K.-H. Chew, 2006. "Surface state on first-order ferroelectrics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 52(1), pages 143-150, July.
    • Handle: RePEc:spr:eurphb:v:52:y:2006:i:1:p:143-150
    DOI: 10.1140/epjb/e2006-00271-1
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