Surface state on first-order ferroelectrics
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 ran...
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my.um.eprints.82212019-08-27T07:25:26Z http://eprints.um.edu.my/8221/ Surface state on first-order ferroelectrics Chew, Khian Hooi Halif, M.N.A. Osman, J. Tilley, D.R. Teh, R. Ishibashi, Y. QC Physics 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) . 2006 Article PeerReviewed Chew, Khian Hooi and Halif, M.N.A. and Osman, J. and Tilley, D.R. and Teh, R. and Ishibashi, Y. (2006) Surface state on first-order ferroelectrics. European Physical Journal B, 52 (1). pp. 143-150. ISSN 1434-6028 http://link.springer.com/content/pdf/10.1140%2Fepjb%2Fe2006-00271-1.pdf 10.1140/epjb/e2006-00271-1 |
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QC Physics Chew, Khian Hooi Halif, M.N.A. Osman, J. Tilley, D.R. Teh, R. Ishibashi, Y. Surface state on first-order ferroelectrics |
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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) . |
format |
Article |
author |
Chew, Khian Hooi Halif, M.N.A. Osman, J. Tilley, D.R. Teh, R. Ishibashi, Y. |
author_facet |
Chew, Khian Hooi Halif, M.N.A. Osman, J. Tilley, D.R. Teh, R. Ishibashi, Y. |
author_sort |
Chew, Khian Hooi |
title |
Surface state on first-order ferroelectrics |
title_short |
Surface state on first-order ferroelectrics |
title_full |
Surface state on first-order ferroelectrics |
title_fullStr |
Surface state on first-order ferroelectrics |
title_full_unstemmed |
Surface state on first-order ferroelectrics |
title_sort |
surface state on first-order ferroelectrics |
publishDate |
2006 |
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http://eprints.um.edu.my/8221/ http://link.springer.com/content/pdf/10.1140%2Fepjb%2Fe2006-00271-1.pdf |
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