Classification of laminate domain patterns in ferroelectrics

Tsou, Nien‐Ti; Potnis, Prashant; Huber, J. E.

doi:10.1103/physrevb.83.184120

Cited by 38 publications

(67 citation statements)

References 46 publications

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“…The stable arrangement of domains depends on energy minimisation through electrical continuity and local compatibility of strains. 7 In BT, this gives two domain wall orientations: 90 • walls separate adjacent domains with orthogonal polarization while for 180 • walls, the polarization directions are antiparallel, see Fig. 1(b).…”

Section: Methodsmentioning

confidence: 95%

In-situ observation of needle domain evolution in barium titanate single crystals

Potnis

Huber

2013

Journal of the European Ceramic Society

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Section: Methodsmentioning

confidence: 95%

In-situ observation of needle domain evolution in barium titanate single crystals

Potnis

Huber

2013

Journal of the European Ceramic Society

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“…1 26 The strain direction for a-domains lies perpendicular to the length of the a-domain, 27,28 or the (010) direction in Fig. 1(b).…”

Section: Domainsmentioning

confidence: 98%

Local control of magnetic anisotropy in transcritical permalloy thin films using ferroelectric BaTiO3 domains

Fackler

Donahue

Gao

et al. 2014

Applied Physics Letters

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Ferroelectric domain wall relaxation in Ba 0.25 Sr 0.75 Ti O 3 films displaying Curie-Weiss behaviorWe investigated the local coupling between dense magnetic stripe domains in transcritical permalloy (tPy) thin films and ferroelectric domains of BaTiO 3 single crystals in a tPy/BaTiO 3 heterostructure. Two distinct changes in the magnetic stripe domains of tPy were observed from the magnetic force microscopy images after cooling the heterostructure from above the ferroelectric Curie temperature of BaTiO 3 (120 C) to room temperature. First, an abrupt break in the magnetic stripe domain direction was found at the ferroelectric a-c-domain boundaries due to an induced change in in-plane magnetic anisotropy. Second, the magnetic stripe domain period increased when coupled to a ferroelectric a-domain due to a change in out-of-plane magnetic anisotropy. Micromagnetic simulations reveal that local magnetic anisotropy energy from inverse magnetostriction is conserved between in-plane and out-of-plane components. V C 2014 AIP Publishing LLC.

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“…To do this, a set of rank-1 and rank-2 periodic laminates identified by Tsou et al [18] are modelled using phase-field methods. Following Tsou et al [18,66] the multi-rank laminates are labelled on the basis of the crystal variants present in the domain pattern. There are six crystal variants in the polar tetragonal system, with distinct spontaneous polarization states as shown in Fig.…”

Section: Problem Description and Modelmentioning

confidence: 99%

“…Next we test the stability of rank-2 periodic domain patterns under the zero external load conditions. Among the rank-2 laminates identified by Tsou et al [18], four domain patterns which contain polarization only in a single plane with domain walls perpendicular to that plane are first tested, see Fig. 6(a-d).…”

Section: Rank-2 Domain Patternsmentioning

confidence: 99%

Nanoscale periodic domain patterns in tetragonal ferroelectrics: A phase-field study

2016

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Ferroelectrics form domain patterns that minimize their energy subject to imposed boundary conditions. In a linear, constrained theory, that neglects domain wall energy, periodic domain patterns in the form of multi-rank laminates can be identified as minimum-energy states. However, when these laminates (formed in a macroscopic crystal) comprise domains that are a few nanometers in size, the domain-wall energy becomes significant, and the behaviour of laminate patterns at this scale is not known. Here, a phase-field model, which accounts for gradient energy and strain energy contributions, is employed to explore the stability and evolution of the nanoscale multi-rank laminates. The stress, electric field, and domain wall energies in the laminates are computed. The effect of scaling is also discussed. In the absence of external loading, stripe domain patterns are found to be lower energy states than the more complex, multi-rank laminates, which mostly collapse into simpler patterns. However, complex laminates can be stabilized by imposing external loads such as electric field, average strain and polarization. The study provides insight into the domain patterns that may form on a macroscopic single crystal but comprising of nanoscale periodic patterns, and on the effect of external loads on these patterns. arXiv:1803.06564v1 [cond-mat.mtrl-sci]

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Classification of laminate domain patterns in ferroelectrics

Cited by 38 publications

References 46 publications

In-situ observation of needle domain evolution in barium titanate single crystals

In-situ observation of needle domain evolution in barium titanate single crystals

Local control of magnetic anisotropy in transcritical permalloy thin films using ferroelectric BaTiO3 domains

Nanoscale periodic domain patterns in tetragonal ferroelectrics: A phase-field study

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