Energetic analysis of ferroelectric domain patterns by equivalent inclusion method |
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Authors: | Y Y Liu J Y Li |
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Affiliation: | (1) Key Laboratory of Low Dimensional Materials and Application Technology of Ministry of Education, Faculty of Materials, Optoelectronics and Physics, Xiangtan University, Hunan, 411105, China;(2) Present address: Department of Mechanical Engineering, University of Washington, Seattle, WA 98195-2600, USA |
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Abstract: | The formation of domain configuration in ferroelectrics is a consequence of energy minimization, and critically depends on
their transformation strain and spontaneous polarization. In this article, we develop an energetic analysis on ferroelectric
domain patterns using equivalent inclusion method, treating ferroelectric domain as an ellipsoidal inhomogeneous inclusion
in a ferroelectric matrix. The potential energy of the domain is calculated in terms of its orientation and shape, and the
energy minimizing configurations have been identified. Both tetragonal and rhombohedral crystals have been analyzed, and the
lamellar domain configurations as predicted by the compatibility analysis have been recovered. Additional energy minimizing
states have also been revealed, including needle type of domains and charged domains. Different contributions of strain compatibility
and polarization compatibility have also been analyzed. |
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