Phenomenological theory of phase transitions in highly piezoelectric perovskites

Abstract

Recently discovered fine structure of the morphotropic phase boundaries in highly piezoelectric mixture compounds PZT, PMN-PT, and PZN-PT demonstrates the importance of highly non-linear interactions in these systems. We show that an adequate Landau-type description of the ferroelectric phase transitions in these compounds is achieved by the use of a twelfth-order expansion of the Landau potential in terms of the phenomenological order parameter. Group-theoretical and catastrophe-theory methods are used in constructing the appropriate Landau potential. A complete phase diagram is calculated in phenomenological parameter space. The theory describes both PZT and PZN-PT types of phase diagrams, including the newly found monoclinic and orthorhombic phases. Anomalously large piezoelectric coefficients are predicted in the vicinity of the phase transition lines.

RevTex4, 8 pages, 2 figures. Dramatically changed after referees' Comments, to appear in Phys. Rev. B, 1 April 2002

References in corpus (1)

• Monoclinic phase in the relaxor-based piezo-/ ferroelectric Pb(Mg${}_{1/3}$Nb${}_{2/3})O_3$-PbTiO${}_3$ system

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