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Published April 2007 | public
Journal Article

A real-space non-local phase-field model of ferroelectric domain patterns in complex geometries


Ferroelectric perovskites are used in various transducer, memory and optical applications due to their attractive properties. In these applications, the ferroelectric materials often have complex geometries and electrode arrangements, and are subjected to domain switching. Therefore, it is important to understand the domain pattern that forms in these geometries. However, models of domain evolution often make assumptions like periodicity and complete shielding which make them unrealistic for these applications. In this paper, we develop a phase-field approach that can study domain patterns and domain evolution in complex geometries with no a priori assumption on geometry, electrode arrangement, and dielectric properties. The key idea is a boundary element method to resolve the electrostatic fields. We illustrate the method by examining the closure domains that form at a free surface and domain switching under cyclic electric field in a device with interdigitated electrodes.

Additional Information

© 2006 Acta Materialia Inc. Published by Elsevier Ltd. Received 26 August 2006; received in revised form 10 October 2006; accepted 23 October 2006; Available online 10 January 2007. This work draws from the doctoral dissertation of Kaushik Dayal at the California Institute of Technology. We are glad to acknowledge the partial financial support of the US Army Research Office through the MURI Grant No. DAAD 19-01-1-0517.

Additional details

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