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Theory of Ferroelectric Phase Transitions in Pure and Mixed Perovskites.

Published online by Cambridge University Press:  01 February 2011

Yizhak Yacoby  and
Yakov Girshberg
Yizhak Yacoby
Affiliation:
Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem Israel.
Yakov Girshberg
Affiliation:
Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem Israel.
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Abstract

We present a comprehensive model of ferroelectricity in oxygen perovskite crystals that account quantitatively for both displacive like and order-disorder like properties. The model assumes that in the paraelectric phase, the system has a soft mode, interacting with spontaneous disordered off-center displacements. The resulting theory is shown to quantitatively explain the properties of two representative perovskites: KNbO3 and PbTiO3. We have further extended this theory to explain the properties of mixed incipient ferroelectrics with small concentrations of ferroelectricity inducing ions such as KTa1-xNbxO3. The model quantitatively reproduces the basic experimental data in the quantum regime: the temperature dependence of the inverse dielectric function, the impurity and temperature dependence of the renormalized soft mode vibrational frequency and the impurity concentration dependence of the transition temperature Tc. In particular we show that, the critical concentration for Tc=0 is determined by the ion tunneling frequency, the bare soft mode parameters and the pseudospin - phonon coupling constant.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 718: Symposium D – Perovskite Materials , 2002 , D8.6
Copyright
Copyright © Materials Research Society 2002

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References

1. Lines, M. E., Glass, A. M., Principles and Applications of Ferroelectrics and Related Materials (Clarendon Press, Oxford, 1977).Google Scholar
2. Cowley, R. A., Advances in Physics 29, 1–110 (1980).Google Scholar
3. Bruce, A. D., Cowley, R. A., Advances in Physics 29, 219–321 (1980).Google Scholar
4. Migoni, R., Bilz, H., Bauerle, D., Physical Review Letters 37, 1155–8 (1976).Google Scholar
5. Yacoby, Y., Stern, E. A., Comments on Condensed Matter Physics 18, 1–19 (1996).Google Scholar
6. Fontana, M. D., Metrat, G., Servoin, J. L., Gervais, F., Journal of Physics C Solid State Physics 16, 483–514 (1984).Google Scholar
7. Shapiro, S. M., Axe, J. D., Shirane, G., Physical Review B 6, 4332–41 (1972).Google Scholar
8. Fontana, M. D., Idrissi, H., Kugel, G. E., Wojcik, K., Journal of Physics:Condensed Matter 3, 8695–8705 (1991).Google Scholar
9. Quittet, A. M., Lambert, M., Solid State Communications 12, 1053–1055 (1973).Google Scholar
10. Comes, R., Currat, R., Denoyer, F., Lambert, M., Quittet, A. M., Ferroelectrics 12, 3–8 (1976).Google Scholar
11. Hochli, U. T., Weibel, H. E., Boatner, L. A., Physical Review Letters 39, 1158–1161 (1977).Google Scholar
12. Rytz, D., Chatelain, A., Hochli, U. T., Physical Review B 27, 6830–40 (1983).Google Scholar
13. Rytz, D., Hochli, U. T., Bilz, H., Physical Review B 22, 359–364 (1980).Google Scholar
14. Lyons, K. B., Fleury, P. A., Rytz, D., Physical Review Letters 57, 2207–10 (1986).Google Scholar
15. Chase, L. L., Sokoloff, J., Boatner, L. A., Solid State Communications 55, 451–4 (1985).Google Scholar
16. Kugel, G., Vogt, H., Kress, W., Rytz, D., Physical Review B 30, 985–91 (1984).Google Scholar
17. Oppermann, R., Thomas, H., Zeitschrift fur Physik B 22, 387–96 (1975).Google Scholar
18. Morf, R., Schneider, T., Stoll, E., Physical Review B 16, 462–9 (1977).Google Scholar
19. Schneider, T., Beck, H., Stoll, E., Physical Review B 13, 1123–30 (1976).Google Scholar
20. Barrett, J. H., Phys.Rev., 86, 118, (1952), Physical Review 6, 118 (1952).Google Scholar
21. Sicron, N. et al., Physical Review B 50, 13168–80 (1994).Google Scholar
22. Bugaev, L. A., Shuvaeva, V. A., Zhuchkov, K. N., Rusakova, E. B., Alekseenko, I. B., Journal of Synchrotron Radiation 6, 299–301 (1999).Google Scholar
23. Petitpierre, O. Hanske, Yacoby, Y., Leon, J. Mustre de, Stern, E. A., Rehr, J. J., Physical Review B 44, 6700–7 (1991).Google Scholar