Physics of the Solid State

, Volume 50, Issue 5, pp 928–936 | Cite as

Phenomenological description of phase transitions in thin BaTiO3 films

  • V. B. Shirokov
  • Yu. I. YuzyukEmail author
  • B. Dkhil
  • V. V. Lemanov
Magnetism and Ferroelectricity


Phase transitions in thin epitaxial films of BaTiO3 are described phenomenologically in terms of Landau potentials with sixth-and eighth-order terms. It is established that the phase diagram depends on the electrostrictive constant Q 12. The phase diagrams calculated for different values of Q 12 available in the literature differ qualitatively. The dependence of the misfit strain of a film on the film tetragonality at room temperature is found, which makes it possible to determine the thermodynamic path in the phase diagram for a specific film. The dependences of the spontaneous polarization and dielectric constant of a film on the misfit strain at room temperature are constructed.

PACS numbers

64.60.Kw 64.70.Kb 77.80.Bh 


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  1. 1.
    M. Dawber, K. M. Rabe, and J. F. Scott, Rev. Mod. Phys. 77, 1083 (2005).CrossRefADSGoogle Scholar
  2. 2.
    J. F. Scott, Science (Washington) 315, 954 (2007).CrossRefADSGoogle Scholar
  3. 3.
    S. B. Desu, V. P. Dudkevich, P. V. Dudkevich, I. N. Zakharchenko, and G. L. Kushlyan, Mater. Res. Soc. Symp. Proc. 401, 195 (1966).Google Scholar
  4. 4.
    S. P. Alpay and A. L. Roytburg, J. Appl. Phys. 83, 4714 (1988).CrossRefADSGoogle Scholar
  5. 5.
    N. A. Pertsev, A. G. Zembiglotov, and A. K. Tagantsev, Phys. Rev. Lett. 80, 1988 (1998).CrossRefADSGoogle Scholar
  6. 6.
    N. A. Pertsev, A. G. Zembiglotov, and A. K. Tagantsev, Ferroelectrics 223, 79 (1999).CrossRefGoogle Scholar
  7. 7.
    C. L. Canedy, H. Li, S. P. Alpay, L. Salamanca-Riba, A. L. Roytburg, and R. Ramesh, Appl. Phys. Lett. 77, 1695 (2000).CrossRefADSGoogle Scholar
  8. 8.
    H. Li, A. L. Roytburd, S. P. Alpay, T. D. Tran, L. Salamanca-Riba, and R. Ramesh, Appl. Phys. Lett. 78, 2354 (2001).CrossRefADSGoogle Scholar
  9. 9.
    Yu. I. Yuzyuk, P. Simon, I. N. Zakharchenko, V. A. Alyoshin, and E. V. Sviridov, Phys. Rev. B: Condens. Matter 66, 052 103 (2002).Google Scholar
  10. 10.
    Yu. I. Yuzyuk, R. S. Katiyar, V. A. Alyoshin, I. N. Zakharchenko, D. A. Markov, and E. V. Sviridov, Phys. Rev. B: Condens. Matter 68, 104104 (2003).Google Scholar
  11. 11.
    K. J. Choi, M. Biegalski, Y. L. Li, A. Sharan, J. Schubert, R. Uecker, P. Reiche, Y. B. Chen, X. Q. Pan, V. Gopalan, L.-Q. Chen, D. G. Schlom, and C. B. Eom, Science (Washington) 306, 1005 (2004).CrossRefADSGoogle Scholar
  12. 12.
    O. Dieguez, S. Tinte, A. Antons, C. Bungaro, J. B. Neaton, K. M. Rabe, and D. Vanderbilt, Phys. Rev. B: Condens. Matter 69, 212 101 (2004).Google Scholar
  13. 13.
    B. Lai, I. A. Kornev, L. Bellaiche, and G. J. Salamo, Appl. Phys. Lett. 86, 132 904 (2005).Google Scholar
  14. 14.
    A. J. Bell and L. E. Cross, Ferroelectrics 59, 197 (1984).Google Scholar
  15. 15.
    A. J. Bell, J. Appl. Phys. 89, 3907 (2001).CrossRefADSGoogle Scholar
  16. 16.
    Y. L. Li, L. E. Cross, and L. Q. Chen, Appl. Phys. Lett. 98, 064 101 (2005).Google Scholar
  17. 17.
    Y. L. Wang, A. K. Tagantsev, D. Damjanovic, N. Setter, V. K. Yarmarkin, and A. I. Sokolov, Phys. Rev. B: Condens. Matter 73, 132 103 (2006).Google Scholar
  18. 18.
    V. M. Mukhortov, V. V. Kolesnikov, S. V. Biryukov, Yu. I. Golovko, and F. I. Maschenko, Zh. Tekh. Fiz. 75(8), 126 (2005) [Tech. Phys. 50 (8), 1089 (2005)].Google Scholar
  19. 19.
    T. Poston and I. Stewart, The Catastrophe Theory and Its Applications (Pitman, London, 1978; Mir, Moscow, 1980).Google Scholar
  20. 20.
    V. B. Shirokov, Fiz. Tverd. Tela (Leningrad) 31(1), 111 (1989) [Sov. Phys. Solid State 31 (1), 61 (1989)].Google Scholar
  21. 21.
    V. B. Shirokov, Yu. I. Yuzyuk, B. Dkhil, and V. V. Lemanov, Phys. Rev. B: Condens. Matter 75, 224 116 (2007).Google Scholar
  22. 22.
    L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity (Nauka, Moscow, 1965; Butterworth-Heinemann, Oxford, 1970).Google Scholar
  23. 23.
    A. Devonshire, Philos. Mag. 40, 1040 (1949).Google Scholar
  24. 24.
    Yu. I. Sirotin and M. P. Shaskol’skaya, Fundamentals of Crystal Physics (Nauka, Moscow, 1979) [in Russian].Google Scholar
  25. 25.
    D. Berlincourt and H. Jaffe, Phys. Rev. 111, 143 (1958).CrossRefADSGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  • V. B. Shirokov
    • 1
  • Yu. I. Yuzyuk
    • 1
    Email author
  • B. Dkhil
    • 2
  • V. V. Lemanov
    • 3
  1. 1.Southern Federal UniversityRostov-on-DonRussia
  2. 2.Laboratoire Structures Propriétés et Modélisation des Solides, Ecole Centrale ParisUMR-CNRS 8580Château-MalabyFrance
  3. 3.Ioffe Physicotechnical InstituteRussian Academy of SciencesSt. PetersburgRussia

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