Abstract
The effective field theory (EFT) based on the transverse Ising model (TIM) is used to study the layer and average polarizations of multi-surface ferroelectric thin film. The effects of the transverse fields and the exchange interactions on the polarization are discussed. It is obvious that the polarizations are affected explicitly by the TIM parameters, and the larger the exchange interactions, the larger the layer and average polarizations. Our theoretical predictions may be a reference for future work in studying the phase transition properties of ferroelectric thin films.
Similar content being viewed by others
References
Jaffe, B., Cook, W.R., Jaffe, H.: Piezoelectric ceramics. Academic Press, London and New York (1971)
Adachi, H., Wasa, K.: IEEE, T. ULTRASON. Ferr. 38, 645 (1991)
Muralt, P., Maeder, T., Sagalowicz, L., Hiboux, S., Scalese, S., Naumovic, D., Agostino, R.G., Xanthopoulos, N., Mathieu, H.J., Patthey, L., Bullock, E.L.: J. Appl. Phys. 83, 3835 (1998)
Wei, S., Lian, J., Chen, X., Jiang, Q.: Appl. Surf. Sci. 254, 6605 (2008)
de Gennes, P.G.: Solide State Commun. 1, 132 (1963)
Blinc, R., Zeks, B.: Soft Modes in Ferroelectrics and Antiferroelectrics, North- Holland, Amsterdam (1974)
Pirc, R., Blinc, R.: Phys. Rev. B 70, 134107 (2004)
Binder, K., Hohenberg, P.C.: Phys. Rev. B 9, 2194 (1974)
Wang, C.L., Zhong, W.L., Zhang, P.L., Phys, J.: Condens. Matter. 3, 4743 (1992)
Kretschmer, R., Binder, K.: Phys. Rev. B 20, 1065 (1979)
Charnaya, E.V., Pogorelova, O.S., Tien, C.: Physica B 305, 97 (2001)
Ong, L.H., Osman, J., Tilley, D.R.: Phys. Rev. B 63, 144109 (2001)
Zhong, W.L., Wang, Y.G., Zhang, P.L.: Phys. Lett. A 189, 121 (1994)
Baohua, T., Sy, H.K.: Phys. Rev. B 70, 104115 (2004)
Sy, H.K.: J. Phys.: Condens. Matter 5, 1213 (1993)
Sy, H.K.: Phys. Rev. B 45, 4454 (1992)
Sy, H.K.: Phys. Rev. B 46, 9220 (1992)
Kaneyoshi, T.: Physica A 319, 355 (2003)
Kaneyoshi, T.: Phys. Stat. Sol. (B) 237, 592 (2003)
Kaneyoshi, T.: Physica A 328, 174 (2003)
Kaneyoshi, T.: Phys. Stat. Sol. (B) 241, 213 (2004)
Kaneyoshi, T.: Physica A 332, 367 (2004)
Kaneyoshi, T.: Physica A 339, 403 (2004)
Kaneyoshi, T.: Physica A 349, 183 (2005)
Kaneyoshi, T.: J. Magn. Magn. Mater. 264, 30 (2003)
Lii, S.C., Wang, X.Z.: Phys. Rev. B 51, 6715 (1995)
Lii, S.C., Wang, X.Z.: Physica A 232, 315 (1996)
Tucker, J.W., Sarmento, E.F., Cressoni, J.C.: J. Magn. Magn. Mater. 147, 24 (1995)
Saber, M.: Chin. J. Phys. 35, 577 (1997)
Xiong, Y., Xiao-Yu, K.: Solid State Commun. 149, 1373 (2009)
Acknowledgments
This work has been initiated with the support of URAC: 08, the project RS:02(CNRST), and the Swedish Research Links programme dnr-348-2011-7264 and completed during a visit of A. A. to the Max Planck Institut für Physik Komplexer Systeme Dresden, Germany. The authors would like to thank all the organizations.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Oubelkacem, A., Essaoudi, I., Ainane, A. et al. The Magnetic Properties of Multi-surface Transverse Ferroelectric Ising Thin Films. J Supercond Nov Magn 28, 877–883 (2015). https://doi.org/10.1007/s10948-014-2817-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-014-2817-4