Compatible domain structures and the poling of single crystal ferroelectrics

Tsou, Nien‐Ti; Huber, J. E.

doi:10.1016/j.mechmat.2010.04.004

Cited by 25 publications

(17 citation statements)

References 28 publications

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“…At the same time, as the material is a single crystal with more stringent boundary conditions than, e.g., polycrystalline films, the newly formed domains are expected to be unstable in the absence of the field and is subject to substantial relaxation, which is what is observed. The degree of relaxation of the response is a function of the stability of the newly formed domains, which in turn is dictated by the local elastic 40,41 and electric boundary conditions (compatibility of variants 42,43 ), local defects, etc. Therefore, two characteristic relaxing amplitudes, corresponding to the rhombohedral phase and (field-induced) tetragonal phase, based on the differing number of degenerate states and strains correlated to the relaxation process, are expected and indeed this is also observed.…”

Section: F Extended Discussionmentioning

confidence: 99%

Multidimensional dynamic piezoresponse measurements: Unraveling local relaxation behavior in relaxor-ferroelectrics via big data

Vasudevan

Zhang

Okatan

et al. 2015

Journal of Applied Physics

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Compositional and charge disorder in ferroelectric relaxors lies at the heart of the unusual properties of these systems, such as aging and non-ergodicity, polarization rotations, and a host of temperature and field-driven phase transitions. However, much information about the field-dynamics of the polarization in the prototypical ferroelectric relaxor (1−x)Pb(Mg1/3Nb2/3)O3-xPbTiO3 (PMN-xPT) remains unprobed at the mesoscopic level. Here, we use a piezoresponse force microscopy-based dynamic multimodal relaxation spectroscopy technique, enabling the study of ferroelectric switching and polarization relaxation at mesoscopic length scales, and carry out measurements on a PMN-0.28PT sample with minimal polishing. Results indicate that beyond a threshold DC bias the average relaxation increases as the system attempts to relax to the previous state. Phenomenological fitting reveals the presence of mesoscale heterogeneity in relaxation amplitudes and clearly suggests the presence of two distinct amplitudes. Independent component analysis reveals the presence of a disorder component of the relaxation, which is found to be strongly anti-correlated with the maximum piezoresponse at that location, suggesting smaller disorder effects where the polarization reversal is large and vice versa. The disorder in the relaxation amplitudes is postulated to arise from rhombohedral and field-induced tetragonal phase in the crystal, with each phase associated with its own relaxation amplitude. These studies highlight the crucial importance of the mixture of ferroelectric phases in the compositions in proximity of the morphotropic phase boundary in governing the local response and further highlight the ability of PFM voltage and time spectroscopies, in conjunction with big-data multivariate analyses, to locally map disorder and correlate it with parameters governing the dynamic behavior.

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Section: F Extended Discussionmentioning

confidence: 99%

Multidimensional dynamic piezoresponse measurements: Unraveling local relaxation behavior in relaxor-ferroelectrics via big data

Vasudevan

Zhang

Okatan

et al. 2015

Journal of Applied Physics

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“…It can be found that the compatible requirement is a central mechanism governing the evolution process. Note that the compatible conditions have also been adopted to analyze the domain patterns by the continuum theories (Shu and Bhattacharya, 2001;Li and Liu, 2004;Tsou and Huber, 2010).…”

Section: Evolution Of Vortex Domainmentioning

confidence: 99%

An electromechanical atomic-scale finite element method for simulating evolutions of ferroelectric nanodomains

Zhang

Liu

et al. 2012

Journal of the Mechanics and Physics of Solids

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“…Thus, the approach taken here, of solving equations (4) and (5) first, and then seeking compatible arrangements, works particularly well for tetragonal, trigonal and orthorhombic crystal systems. In crystal systems where a unique solution for the volume fractions cannot be obtained from equations (4) and (5), configurations can nevertheless be identified that simplify the laminate structure, for example by minimizing the number of variants present; see reference [19] for details. In the cubic-orthorhombic system, the martensite volume fractions corresponding to a given average strain in the martensite can be found uniquely.…”

Section: Compatibility Conditionsmentioning

confidence: 99%

“…Here we provide three conditions to check if a laminate pattern is an exactly compatible structure [19]. (i) Interfaces between distinct phases must have the same spacing wherever they meet at any higher level interface.…”

Section: Compatibility Conditionsmentioning

confidence: 99%

A sharp interface model of compatible twin patterns in shape memory alloys

Tsou

Huber

Shu

2012

Smart Mater. Struct.

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The cubic-orthorhombic shape memory alloy system is studied using a sharp interface model based on the linear theory of compatible laminates. A computational method is developed to generate all possible compatible laminates for a given state of strain, and check whether these laminates satisfy exact compatibility conditions. The type of austenite-martensite interface that can form is dependent upon the detail of the martensite structure; the formation of flat and wedge-like austenite-martensite interfaces is explored. A full search is used to reveal the routes in strain space along which the two-phase structure can continuously evolve. A variety of laminate structures, some well known and some new, are reported. The methods developed are readily applied to other crystal systems, such as the tetragonal crystal system, in shape memory alloys or related materials.

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Compatible domain structures and the poling of single crystal ferroelectrics

Cited by 25 publications

References 28 publications

Multidimensional dynamic piezoresponse measurements: Unraveling local relaxation behavior in relaxor-ferroelectrics via big data

Multidimensional dynamic piezoresponse measurements: Unraveling local relaxation behavior in relaxor-ferroelectrics via big data

An electromechanical atomic-scale finite element method for simulating evolutions of ferroelectric nanodomains

A sharp interface model of compatible twin patterns in shape memory alloys

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