Skip to main content
Log in

The sequence of structural phase transitions in systems with a four-well potential

  • Lattice Dynamics. Phase Transitions
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The theory of order-disorder phase transitions is discussed for systems with a four-well potential. It is shown that the model can be generalized to the case of the well-known Ising model in a transverse field. It is also shown that two or three crystalline phases can emerge as the temperature is reduced.

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. V. G. Vaks, Introduction to the Microscopic Theory of Ferroelectricity [in Russian] Nauka, Moscow, 1973.

    Google Scholar 

  2. W. P. Mason and B. T. Mattias, Phys. Rev. 74, 1662 (1948).

    ADS  Google Scholar 

  3. A. A. Chumak and A. A. Tarasenko, Surf. Sci. 91, 694 (1980).

    Article  Google Scholar 

  4. D. Kh. Blatt and V. I. Zinenko, Fiz. Tverd. Tela (Leningrad) 21, 1009 (1980) [Sov. Phys. Solid State 21, 538 (1980)].

    Google Scholar 

  5. V. I. Zinenko and D. Kh. Blatt, Fiz. Tverd. Tela (Leningrad) 22, 184 (1979) [Sov. Phys. Solid State 21, 538 (1979)].

    Google Scholar 

  6. A. G. Khachaturyan, The Theory of Phase Transitions and the Structure of Solid Solutions [in Russian], Nauka, Moscow, 1974.

    Google Scholar 

  7. G. A. Smolenskii and V. A. Bokov, Ferroelectrics and Antiferroelectrics [in Russian], Nauka, Leningrad, 1965.

    Google Scholar 

  8. F. Jona and D. Shirane, Ferroelectric Crystals, Pergamon Press, Oxford, 1962.

    Google Scholar 

  9. A. I. Baranov, E. G. Ponyatovskii, V. V. Sinitsyn, R. M. Fedosyuk, and L. A. Shuvalov, Kristallografiya 30, 1121 (1985) [Sov. Phys. Crystallogr. 30, 653 (1985)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Fiz. Tverd. Tela (St. Petersburg) 39, 2217–2219 (December 1997)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shadchin, E.A. The sequence of structural phase transitions in systems with a four-well potential. Phys. Solid State 39, 1978–1980 (1997). https://doi.org/10.1134/1.1130212

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1130212

Keywords

Navigation