Shape-induced phase transition of domain patterns in ferroelectric platelets

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 6, 2011, Pages

  Schilling, A ^a   Prosandeev, S ^b   McQuaid, R G P ^a   Bellaiche, L ^b   Scott, J F ^c   Gregg, J M ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^b UNIVERSITY OF ARKANSAS   (United States)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052385180     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.064110     Document Type: Article

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21. We have, in addition, tried to identify a likely conjugate field for the observed domain off-centering. One possible candidate is × D, where D is the electric displacement. × D can be rewritten as [ε( × E)] + [E × (ε)] where ε is the dielectric constant, and E is the electric field. Such rewriting indicates that × D can result in a toroidal moment (since the conjugate field of an electric toroidal moment is × E) as well as a polarization (since the conjugate field of a polarization is an electric field), consistent with the development of electrical toroidal moment and polarization implied by the Monte Carlo simulations. Moreover, ε generally decreases towards the edges in an inhomogeneous anisotropic dielectric, implying that in our geometry the second term of × D could produce a displacement of the quadrant core along the long axis of the rectangular platelets (the maximum gradient in ε lies parallel to the width of the platelet).