Skip to main content
Log in

Ab initio calculation of the ferroelectric phase transition in disordered and ordered PbSc0.5Ta0.5O3 and PbSc0.5Nd0.5O3 solid solutions with the use of a model Hamiltonian

  • Order, Disorder, and Phase Transition in Condensed Systems
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

To describe the ferroelectric phase transition in ordered and disordered PbSc0.5Ta0.5O3 (PST) and PbSc0.5Nd0.5O3 (PSN) solid solutions, a model Hamiltonian is written in the local-mode approximation, in which long-range dipole-dipole and short-range interactions of local modes are taken into account. The Hamiltonian parameters are determined from the set of energies of a series of distorted structures, calculated within the nonempirical generalized Gordon-Kim model. The statistical mechanics of the systems with a model Hamiltonian is investigated by the Monte Carlo method. It is revealed that PSN solid solutions undergo a transition to the ferroelectric rhombohedral phase through an intermediate phase, existing in a narrow temperature range. PST solid solutions undergo a ferroelectric phase transition directly from the paraelectric cubic to the ferroelectric rhombohedral phase.

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. L. E. Cross, Ferroelectrics 76, 241 (1987).

    Google Scholar 

  2. N. Takesue, Y. Fujii, M. Ichihara, and H. Chen, Phys. Rev. Lett. 82, 3709 (1999).

    Article  ADS  Google Scholar 

  3. C. Perrin, N. Menguy, O. Bidault, et al., J. Phys.: Condens. Matter 13, 10231 (2001).

    Google Scholar 

  4. P. M. Woodward and K. Z. Baba-Kishi, J. Appl. Crystallogr. 35, 233 (2002).

    Article  Google Scholar 

  5. V. A. Isupov, Ferroelectrics 289, 131 (2003).

    Article  Google Scholar 

  6. V. V. Laguta, M. D. Glinchuk, I. P. Bykov, et al., Phys. Rev. B: Condens. Matter 69, 054103 (2004).

    Google Scholar 

  7. I. G. Siny, S. G. Lushnikov, and R. S. Katiyar, Ferroelectrics 231, 115 (1999).

    Article  Google Scholar 

  8. E. A. Rogacheva, Physica B (Amsterdam) 291, 359 (2000).

    ADS  Google Scholar 

  9. W. Dmowski, M. K. Akbas, P. K. Davies, and T. Egami, J. Phys. Chem. Solids 61, 229 (2000).

    Article  ADS  Google Scholar 

  10. B. P. Burton, E. Cockayne, S. Tinte, and U. V. Waghmare, Phase Transitions 79, 91 (2006).

    Article  Google Scholar 

  11. V. I. Zinenko, N. G. Zamkova, E. G. Maksimov, and S. N. Sofronova, Zh. Éksp. Teor. Fiz. 132(3), 702 (2007) [JETP 105 (3), 617 (2007)].

    Google Scholar 

  12. U. V. Waghmare and K. M. Rabe, Phys. Rev. B: Condens. Matter 55, 6161 (1997).

    ADS  Google Scholar 

  13. W. Zhong and D. Vanderbilt, Phys. Rev. B: Condens. Matter 52, 6301 (1995).

    ADS  Google Scholar 

  14. K. M. Rabe and J. D. Jannopoulos, Phys. Rev. B: Condens. Matter 36, 6631 (1987).

    ADS  Google Scholar 

  15. O. E. Kvyatkovskii, Ferroelectrics 153, 201 (1994); O. E. Kvyatkovskiĭ, Kristallografiya 49 (1), 8 (2004) [Crystallogr. Rep. 49 (1), 4 (2004)].

    Google Scholar 

  16. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, et al., Chem. Phys. 21, 1087 (1953).

    Article  ADS  Google Scholar 

  17. C. Malibert, B. Dkhil, J. M. Kiat, et al., J. Phys.: Condens. Matter 9, 7485 (1997).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. I. Zinenko.

Additional information

Original Russian Text © V.I. Zinenko, N.G. Zamkova, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 133, No. 3, pp. 622–631.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zinenko, V.I., Zamkova, N.G. Ab initio calculation of the ferroelectric phase transition in disordered and ordered PbSc0.5Ta0.5O3 and PbSc0.5Nd0.5O3 solid solutions with the use of a model Hamiltonian. J. Exp. Theor. Phys. 106, 542–549 (2008). https://doi.org/10.1134/S1063776108030138

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776108030138

PACS numbers

Navigation