Skip to main content
Log in

A relation between long-range correlation and dielectric anomaly

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

A double-well potential model is established to explain the dielectric anomaly of ferroelectrics. The dielectric constant consists of two parts. One part is independent of the long-range correlation, following 1/T law. The other part originates from the long-range correlation, and can be described by the correlation length well. The deviation from Curie-Weiss law in a small size sample originates from the decrease of the long-range correlation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Merz, W. J., The electric and optical behavior of BaTiO3 single-domain crystals,Phys. Rev., 1949, 76: 1221.

    Article  Google Scholar 

  2. Itoh, K., Zeng, L. Z., Nakamura, E. et al., Crystal structure of BaTiO3 in the cubic phase,Ferroelectrics, 1985, 63: 29.

    Google Scholar 

  3. Sicron, N., Ravel, B., Yacoby, Y. et al., Nature of the ferroelectric phase transition in PbTiO3,Phys. Rev. B, 1994, 50: 13168.

    Article  Google Scholar 

  4. Wang, Z., Bunker, B. A., X-ray-absorption fine-structure studies of PbSxTe1-x alloys: ferroelectric phase transitions induced by off-center ions,Phys. Rev. B, 1992, 46: 11277.

    Article  Google Scholar 

  5. Girshberg, Y., Yacoby, Y., Ferroelectric phase transition in perovskites with off-center ion displacements,Solid State Commun., 1997, 103: 425.

    Article  Google Scholar 

  6. Cohen, R. E., Krakauer, H., Lattice dynamics and origin of ferroelectricity in BaTiO3: linearized-augmented-plane-wave total-energy calculations,Phys. Rev. B, 1990, 42: 6416.

    Article  Google Scholar 

  7. Cohen, R. E., Origin of ferroelectricity in perovskite oxides,Nature, 1992, 358: 136.

    Article  Google Scholar 

  8. March, N. H., Parrinello, M.,Collective Effects in Solids and Liquids, Bristol: Adam hilger Ltd., 1982, 162.

    Google Scholar 

  9. Hung, A.,Theoretical Solid State Physics, New York: Pergamon Press, 1972, 332.

    Google Scholar 

  10. Axe, J. D., Apparent ionic charges and vibrational eigenmodes of BaTiO3 and other perovskites,Phys. Rev., 1967, 157: 429.

    Article  Google Scholar 

  11. Fähnle, M., Souletie, J., Comment on generalized Curie-Weiss law,Phys. Rev. B, 1985, 32: 3328.

    Article  Google Scholar 

  12. Rao, M. S., Kaul, S. N., Validity of the generalized Curie-Weiss law in ferromagnetic systems with “frozen” disorder,J. Magn. Magn. Matter., 1997, 171: 341.

    Article  Google Scholar 

  13. Benguigui, L., Critical regions at a first-order transition,J. Phys. C: Solid State Phys., 1975, 8: 17.

    Article  Google Scholar 

  14. Zhong, W. L., Zhang, P. L., Wang, Y. G. et al., Size effect on the dielectric properties of BaTiO3,Ferroelectrics, 1994, 160: 55.

    Google Scholar 

  15. Chattopadhyay, S., Ayyub, P., Palkar, V. R. et al., Size-induced diffuse transition in the nanocrystalline ferroelectric PbTiO3,Phys. Rev. B, 1995, 52: 13177.

    Article  Google Scholar 

  16. Chattopadhyay, S., Ayyub, P., Palkar, V. R. et al., Finite-size effects in antiferroelectric PbZrO3 nanoparticles,J. Phys.: Condens. Matter, 1997, 9: 8135.

    Article  Google Scholar 

  17. Aharony, A., Halperin, B. I., Exact relations among amplitudes at critical points of marginal dimensionality,Phys. Rev. Lett., 1975, 35: 1308.

    Article  Google Scholar 

  18. Cross, L. E.,Ferroelectric Ceramics (eds. Setter, N., Colla, E. L.), Basel: Birkhaus, 1993, 46.

    Google Scholar 

  19. Wang, Y. G., Zhong, W. L., Zhong, P. L., Size effects on the Curie temperature of ferroelectric particles,Solid State Commun., 1994, 92: 519.

    Article  Google Scholar 

  20. Lines, M. E., Glass, A. M.,Principles and Applications of Ferroelectrics and Related Materials, Oxford: Clarendon Press, 1977, 261.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the Climbing Program of Foundamental Research of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, L., Zhong, W., Wang, C. et al. A relation between long-range correlation and dielectric anomaly. Sci. China Ser. A-Math. 42, 423–428 (1999). https://doi.org/10.1007/BF02874262

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02874262

Keywords

Navigation