arXiv · cond-mat/0109396
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.
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I. A. Sergienko, Yu. M. Gufan, S. Urazhdin. 2001-12-01. Phenomenological theory of phase transitions in highly piezoelectric perovskites. https://doi.org/10.1103/physrevb.65.144104
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