Devonshire-Ginzburg-Landau phenomenological study of ferroelectric properties of PbTiO3 thin films.
DOI:
https://doi.org/10.26438/ijcse/v9i11.69Keywords:
Surface effect, Size effect, Phase transition, Curie temperatur, Ginzburg-Landau-Devonshire theoryAbstract
It is well known that the physical properties of ferroelectric thin films are considerably different from those of bulk ferroelectrics. The surface effect is one of this important properties observed in ferroelectric thin films. At the surface , the coordination of the atoms is different from that in the volume of the film. The influence of the surface effect on the ferroelectric properties of PbTiO3 films has been investigated based on Ginsburg- Landau-Devonshire (GLD) thermodynamic theory, where the free energy coefficients are calculated for PbTiO3 crystal from microscopic interactions based upon the statistical mean field approximation. In this study, the shift displacement profile, the average the maximal and minimal of central ion shift displacement, the phase transition and Curie temperature (Tc) dependence on the film thickness are numerically modeled and analyzed by an Euler-Lagrange equation with applying a corresponding boundary condition on ion displacement for various values film thicknesses and levels of extrapolation length.
References
[1] Y Yoneda, K Sakaue and H Terauchi, “Phase transition of BaTiO3 thin films,” Journal of Physics: Condensed Matter; vol.13, pp. 9575-9582, 2001.
[2] C J Lu H, M Shen Y, N Wang, “Grain size effect on the phase transitions in oriented PbTiO3 thin films deposited by the sol-gel method on (111) Pt Si,”. Materials Letters, vol 34, Issue 12 pp. 5-9., 1998.
[3] W L Zhong, B Jiang, P L Zhang, J M Ma, H M Cheng and Z H Yang ,“Phase transition in PbTiO3ultraf i ne particles of different sizes,” Materials Journal of Physics: Condensed Matter, vol 5, Issue 16, pp. 2619, 1993.
[4] Pushan Ayyub, “ Finite size effects in ferroelectric nanomaterials and thin films,” PINSA, vol 67A, Issue 1, pp. 71-84, 2001.
[5] K Ishikawa, T Nomura, N Okada and K Takada, “ Size effect on the Phase Transition in PbTiO3Fine Particles,” Japanese Journal of Applied Physic, vol 35,pp. 5196, 1996.
[6] R. Kretschmer and K. Binder, “Surface effects on phase transitions in ferroelectrics and dipolar magnets,” Phys. Rev.B; vol 20, pp. 1065, 1979.
[7] D. R. Tilly and B.Zeks, “ Landau theory of phase transition in thick films,” Solid State Communication; vol 49, pp. 823, 1984.
[8] E K Tan, J Osman D, R Tilley, “ First-order phase transitions in ferroelectric films,” Solid State Communications; vol 116, , Issue 2, pp. 6165, 2000.
[9] H Chaib, L M Eng, F Schlaphof, and T Otto, “Surface effect on the electrical and optical properties of barium titanate at room temperature,” Phyical. Review B vol 71, issue 8, pp 085418, 2005. doi:https://doi.org/10.1103/PhysRevB.71.085418.
[10] S Tinte and M G Stachiotti, “ Surface effects and ferroelectric phase transitions in BaTiO3 ultrathin films,” Physical Review B; vol 64, pp. 235403, 2001.
[11] B Wang and C Woo, “The orde r of transition of a ferroelectric thin film on a compliant substrate” Acta Materialia; vol 52 issue 19, pp. 5639-5644, 2004.
[12] M D Glinchuk, B Y Zaulychny and V A Stephanovich,, “Depolarization Field in Thin Ferroelectric Films With Account of Semiconductor Electrodes,” Ferroelectrics; vol 316 , Issue 1, 2005.
[13] W L Zhong, Y G Wang, P L Zhang, and B D Qu, “Phenomenological study of the size effect on phase transitions in ferroelectric particles,” Physical Review B; vol 50, Issue 2, pp. 235403, 1994.
[14] M de Keijser, G J M Dormans, P J Van Veldhoven, D M de Leeuw, “Epitaxial PbTiO3 thin films grown by organo metallic chemical vapor deposition,” Applied Physics Letter; vol 59, pp. 3556, 1991.
[15] W Ma, M Zhang, T Yu, Y Chen, N Ming, “Stress effect and evidence of ferroelectric weakening in highly c-axis-oriented PbTiO3 thin films ,” Applied. Physics A vol 66, pp. 345, 1998.
[16] K. Ishikawa, K. Yoshikawa, and N. Okada, “Size effect on the ferroelectric phase transition in PbTiO3 ultrafine particles,” Phyical Review B vol 37,pp. 5852, 1988.
[17] W. G. Liu, I,. B. Kong, L. Y. Zhang and X. Yao. , “Study of the surface layer of lead titanate thin f i lm by x-ray diffraction,” Solid State Communications; vol 93, Issue 8, pp. 653-657, 1995.
[18] B. Jiang and L. A. Bursill. “Phenomenological theory of size effects in ultrafine ferroelectric particles of lead titanate,” Physical Review.B; vol 60, Issue 14; pp. 9979-9982, 1999.
[19] K Nakamura,. and W. Kinase. “Theory of the successive phase transition in BaTi03”, Journal of the Physical Society of Japan. Vol. 61, pp, 4596-4614, 1992
[20] A Toumanari, D. Khatib, and W. Kinase, “Theory of the successive phase transitions in KNbO3” phase transition, vol 71, Issue 17, pp 13-71, 2000.
[21] E El-frikhe, A Toumanari and D Khatib, “Theory of the cubic-tetragonal phase transition in PbTiO3,”Phyica status solidi c; vol 3, Issue 9, pp. 3332-3336., 2006.
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