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Noheda, Beatriz; Wu, Lijun; Zhu, Yimei

doi:10.1103/physrevb.66.060103

Cited by 91 publications

(101 citation statements)

References 24 publications

(36 reference statements)

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“…However, the theory predicts that general invariance conditions (6) will still be fulfilled. The field dependence of the crystal lattice parameters of PZN-8%PT have been determined by single crystal neutron diffraction [4], as shown in Fig. 3(a).…”

Section: -2mentioning

confidence: 99%

“…Temperature dependent neutron diffraction data have previously been obtained for various PMN-xPT specimens [3], in the compositional range of 31% < x < 37%. These investigations were performed under zero electric field.…”

Section: -2mentioning

confidence: 99%

“…The predictions of the theory are rigidly obeyed over the entire FE m stability range. [1][2][3][4]. An explanation of these phases in terms of the conventional Ginzburg-Landau-Devonshire (GLD) theory of homogeneous ferroelectric phases is quite difficult.…”

mentioning

confidence: 99%

“…Neutron and x-ray diffraction investigations of oriented piezoelectric single crystals of Pb Mg 1=3 Nb 2=3 -O 3 ÿ xPbTiO 3 (PMN-x%PT) and Pb Zn 1=3 Nb 2=3 -O 3 ÿ xPbTiO 3 (PZN-x%PT) have shown the presence of intermediate monoclinic (FE m ) states, sandwiched between rhombohedral (FE r ) and tetragonal (FE t ) ferroelectric phases near a morphotropic phase boundary (MPB) [1][2][3][4]. An explanation of these phases in terms of the conventional Ginzburg-Landau-Devonshire (GLD) theory of homogeneous ferroelectric phases is quite difficult.…”

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confidence: 99%

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Conformal Miniaturization of Domains with Low Domain-Wall Energy: Monoclinic Ferroelectric States near the Morphotropic Phase Boundaries

et al. 2003

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A theory is developed for intermediate monoclinic (FE m ) phases near morphotropic phase boundaries in ferroelectrics of complex oxides. It is based on the conformal miniaturization of stress-accommodating tetragonal domains under the condition of low domain-wall energy density. The microdomainaveraged lattice parameters are determined and attributed to the parameters of an adaptive monoclinic phase. The theory is applied to the temperature, electric field, and compositional dependent FE m lattice parameters. The predictions of the theory are rigidly obeyed over the entire FE m stability range. [1][2][3][4]. An explanation of these phases in terms of the conventional Ginzburg-Landau-Devonshire (GLD) theory of homogeneous ferroelectric phases is quite difficult. The homogeneous FE m phase can be described only if eight terms in the free energy expansion are included and thus eight fitting parameters are introduced [5]. However, the GLD theory cannot explain the observed special relations between the crystal lattice parameters of the FE m phase discussed in this Letter. Basic-principles calculations (based on an assumption of microscopic homogeneity of the ferroelectric order) have shown that the intermediate phases could be attributed to rotational polarization instabilities [6 -8]. These instabilities, in fact, demonstrate that the crystallographic anisotropy of the polarization direction vanishes (or at least is drastically reduced) near the MPB. Accordingly, the domainwall energy will also be dramatically decreased.The purpose of this Letter is to demonstrate that a homogeneous ferroelectric state is unstable under these special conditions. For very low values of domain-wall energies, the system transforms into a mixed (or adaptive) state [9,10]. This adaptive state is inhomogeneous on the nanoscale and homogeneous on the macroscale. The nanoscale microstructure of this adaptive state is a miniaturized microdomain structure determined by the accommodation of the misfit-generated stress and electric field. We show that changes in the microdomain topology result in gradual average symmetry adaptations. Previous experimental studies have shown microdomains on the scale of 10 nm, which gradually change with temperature and composition [11], consistent with the theory.The conventional ferroelastic microstructure consists of polydomain plates [12,13]. Each plate is formed by alternating layers of twin-related domains, as shown in Fig. 1 [14]. The relative thicknesses of the domain layers are adjusted to establish the macroscopic invariance of the habit plane [12,13] and in so doing eliminate longrange stress fields generated by crystal lattice misfits FIG. 1. Dark-field TEM image of a stress-accommodating polydomain structure in a CuAu alloy [14]. The structure of the adaptive phase has the same morphology but is conformally miniaturized to reach nano-or subnanoscale. Then white and black stripes become microdomains that are ''invisible'' to the usual diffraction measurement and the macroplates become macrodomains ...

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Section: -2mentioning

confidence: 99%

Section: -2mentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Conformal Miniaturization of Domains with Low Domain-Wall Energy: Monoclinic Ferroelectric States near the Morphotropic Phase Boundaries

et al. 2003

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“…As discussed above, this same transition may also occur along the PZ-PFN binary join and would give a stability field for the R3c structure extending into the ternary system at room temperature. In the stability field of the monoclinic structure below the MPB of PZT, the same octahedral tilting transition involves the symmetry change Cm-Cc [57][58][59][60][61][62], but no information is yet available to determine whether this occurs in the ternary system as well. In (Pb 0.94 Sr 0.06 )(Zr 0.55 Ti 0.…”

Section: Ternary Compositionsmentioning

confidence: 99%

Elastic and anelastic relaxation behaviour of perovskite multiferroics I: PbZr0.53Ti0.47O3 (PZT)–PbFe0.5Nb0.5O3 (PFN)

et al. 2016

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Perovskites in the ternary system PbTiO 3 (PT)-PbZrO 3 (PZ)-Pb(Fe 0.5 Nb 0.5 )O 3 (PFN) have attracted close interest because they can display simultaneous ferroelectric, magnetic and ferroelastic properties. Those with the most sensitive response to external fields are likely to have compositions near the morphotropic phase boundary (MPB) which lies close to the binary join Pb(Zr 0.53 Ti 0.47 )O 3 (PZT)-PFN. In the present study, the strength and dynamics of strain coupling behaviour which accompanies the development of ferroelectricity and (anti)ferromagnetism in ceramic PZT-PFN samples have been investigated by resonant ultrasound spectroscopy. Elastic softening ahead of the cubic-tetragonal transition does not fit with models based on dispersion of the soft mode or relaxor characteristics but is attributed, instead, to coupling between acoustic modes and a central peak mode from correlated relaxations and/or microstructure dynamics. Softening of the shear modulus through the transition by up to *50 % fits with the expected pattern for linear/quadratic strain/order parameter coupling at an improper ferroelastic transition and close to tricritical evolution for the order parameter. Superattenuation of acoustic resonances in a temperature interval of *100 K below the transition point is indicative of mobile ferroelastic twin walls. By way of contrast, the first-order tetragonalmonoclinic transition involves only a small change in the shear modulus and is not accompanied by significant changes in acoustic dissipation. The dominant Address correspondence to E-mail: mc43@esc.cam.ac.uk DOI 10.1007/s10853-016-0280-2 J Mater Sci (2016) 51:10727-10760 feature of the elastic and anelastic properties at low temperatures is a concaveup variation of the shear modulus and relatively high loss down to the lowest temperature, which appears to be the signature of materials with substantial local strain heterogeneity and a spectrum of strain relaxation times. No evidence of magnetoelastic coupling has been found, in spite of the samples displaying ferromagnetism below *550 K and possible spin glass ordering below *50 K. For the important multiferroic perovskite ceramics with compositions close to the MPB of ternary PT-PZ-PFN, there must be some focus in future on the role of strain heterogeneity.

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Mechanical Confinement: An Effective Way of Tuning Properties of Piezoelectric Crystals

Marsilius

Frederick

et al. 2011

Adv Funct Materials

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Using <001>-oriented Pb(Mg 1/3 Nb 2/3 )O 3 -PbTiO 3 ferroelectric single crystals as a model material, the impact of mechanical confinements on polarization hysteresis, coercive field, and remanent polarization of relaxor-based piezocrystals is investigated. Comparative studies are made among rhombohedral and tetragonal single crystals, as well as a polycrystalline ceramic, under uniaxial and radial compressive prestresses. The dramatic changes observed are interpreted in terms of the piezoelectric effect and possible phase transitions for rhombohedral crystals, and ferroelastic domain switching and the piezoelectric effect for tetragonal crystals. Under radial compressive stresses, the coercive field for the rhombohedral crystal is observed to increase to 0.67 kV/mm and that for the tetragonal crystal is increased to 0.78 kV/mm. This is a 200% increase relative to the unstressed condition. The results demonstrate a general and effective approach to overcome the drawback of low coercive fields in these relaxor-based ferroelectric crystals, which could help facilitate widespread implementation of these piezocrystals in engineering devices. KeywordsPiezoelectric single crystals, compressive pre-stresses, domain switching, coercive field, remanent polarization

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Low-temperature superlattice in monoclinicPbZr0.52Ti0.48O3

Cited by 91 publications

References 24 publications

Conformal Miniaturization of Domains with Low Domain-Wall Energy: Monoclinic Ferroelectric States near the Morphotropic Phase Boundaries

Conformal Miniaturization of Domains with Low Domain-Wall Energy: Monoclinic Ferroelectric States near the Morphotropic Phase Boundaries

Elastic and anelastic relaxation behaviour of perovskite multiferroics I: PbZr0.53Ti0.47O3 (PZT)–PbFe0.5Nb0.5O3 (PFN)

Mechanical Confinement: An Effective Way of Tuning Properties of Piezoelectric Crystals

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