Domain walls of ferroelectric BaTiO 3 within the Ginzburg-Landau-Devonshire phenomenological model

By P. Marton, I. Rychetský, J. Hlinka. 2010

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Mechanically compatible and electrically neutral domain walls in tetragonal, orthorhombic, and rhombohedral ferroelectric phases of ${\text{BaTiO}}_{3}$ are systematically investigated in the framework of the phenomenological Ginzburg-Landau-Devonshire model with parameters of J. Hlinka and P. Marton, Phys. Rev. B 74, 104104 (2006). Polarization and strain profiles within domain walls are calculated numerically and within an approximation leading to the quasi-one-dimensional analytic solutions applied previously to the ferroelectric walls of the tetragonal phase [W. Cao and L. E. Cross, Phys. Rev. B 44, 5 (1991)]. Domain-wall thicknesses and energy densities are estimated for all mechanically compatible and electrically neutral domain-wall species in the entire temperature range of ferroelectric phases. The model suggests that the lowest-energy walls in the orthorhombic phase of ${\text{BaTiO}}_{3}$ are the $90\ifmmode^\circ\else\textdegree\fi{}$ and $60\ifmmode^\circ\else\textdegree\fi{}$ walls. In the rhombohedral phase, the lowest-energy walls are the $71\ifmmode^\circ\else\textdegree\fi{}$ and $109\ifmmode^\circ\else\textdegree\fi{}$ walls. All these ferroelastic walls have thickness below 1 nm except for the $90\ifmmode^\circ\else\textdegree\fi{}$ wall in the tetragonal phase and the $60\ifmmode^\circ\else\textdegree\fi{}$ $S$ wall in the orthorhombic phase, for which the larger thickness on the order of 5 nm was found. The antiparallel walls of the rhombohedral phase have largest energy and thus they are unlikely to occur. The calculation indicates that the lowest-energy structure of the $109\ifmmode^\circ\else\textdegree\fi{}$ wall and few other domain walls in the orthorhombic and rhombohedral phases resemble Bloch walls known from magnetism.

Subfields: Biomedical Engineering, Materials Chemistry, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/f5dab260fa3dbc3dd3f47857785e751c207d2cfe

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