Abstract
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.
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References
M. Dawber, K. M. Rabe, and J. F. Scott, Rev. Mod. Phys. 77, 1083 (2005).
J. F. Scott, Science (Washington) 315, 954 (2007).
S. B. Desu, V. P. Dudkevich, P. V. Dudkevich, I. N. Zakharchenko, and G. L. Kushlyan, Mater. Res. Soc. Symp. Proc. 401, 195 (1966).
S. P. Alpay and A. L. Roytburg, J. Appl. Phys. 83, 4714 (1988).
N. A. Pertsev, A. G. Zembiglotov, and A. K. Tagantsev, Phys. Rev. Lett. 80, 1988 (1998).
N. A. Pertsev, A. G. Zembiglotov, and A. K. Tagantsev, Ferroelectrics 223, 79 (1999).
C. L. Canedy, H. Li, S. P. Alpay, L. Salamanca-Riba, A. L. Roytburg, and R. Ramesh, Appl. Phys. Lett. 77, 1695 (2000).
H. Li, A. L. Roytburd, S. P. Alpay, T. D. Tran, L. Salamanca-Riba, and R. Ramesh, Appl. Phys. Lett. 78, 2354 (2001).
Yu. I. Yuzyuk, P. Simon, I. N. Zakharchenko, V. A. Alyoshin, and E. V. Sviridov, Phys. Rev. B: Condens. Matter 66, 052 103 (2002).
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).
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).
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).
B. Lai, I. A. Kornev, L. Bellaiche, and G. J. Salamo, Appl. Phys. Lett. 86, 132 904 (2005).
A. J. Bell and L. E. Cross, Ferroelectrics 59, 197 (1984).
A. J. Bell, J. Appl. Phys. 89, 3907 (2001).
Y. L. Li, L. E. Cross, and L. Q. Chen, Appl. Phys. Lett. 98, 064 101 (2005).
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).
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)].
T. Poston and I. Stewart, The Catastrophe Theory and Its Applications (Pitman, London, 1978; Mir, Moscow, 1980).
V. B. Shirokov, Fiz. Tverd. Tela (Leningrad) 31(1), 111 (1989) [Sov. Phys. Solid State 31 (1), 61 (1989)].
V. B. Shirokov, Yu. I. Yuzyuk, B. Dkhil, and V. V. Lemanov, Phys. Rev. B: Condens. Matter 75, 224 116 (2007).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity (Nauka, Moscow, 1965; Butterworth-Heinemann, Oxford, 1970).
A. Devonshire, Philos. Mag. 40, 1040 (1949).
Yu. I. Sirotin and M. P. Shaskol’skaya, Fundamentals of Crystal Physics (Nauka, Moscow, 1979) [in Russian].
D. Berlincourt and H. Jaffe, Phys. Rev. 111, 143 (1958).
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Original Russian Text © V.B. Shirokov, Yu.I. Yuzyuk, B. Dkhil, V.V. Lemanov, 2008, published in Fizika Tverdogo Tela, 2008, Vol. 50, No. 5, pp. 889–896.
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Shirokov, V.B., Yuzyuk, Y.I., Dkhil, B. et al. Phenomenological description of phase transitions in thin BaTiO3 films. Phys. Solid State 50, 928–936 (2008). https://doi.org/10.1134/S106378340805020X
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DOI: https://doi.org/10.1134/S106378340805020X