Journal
PHYSICAL REVIEW B
Volume 65, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.65.144104
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The recently discovered fine structure of the morphotropic phase boundaries in highly piezoelectric mixture compounds PbZr1-xTixO3 (PZT), Pb(Mg1/3Nb2/3)(1-x)TixO3 (PMN-PT), and Pb(Zn1/3Nb2/3)(1-x)TixO3 (PZN-PT) demonstrates the importance of highly nonlinear 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.
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