2016
DOI: 10.1103/physrevb.93.174111
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Piezoelectric softening in ferroelectrics: Ferroelectric versus antiferroelectricPbZr1xTixO3

Abstract: The traditional derivation of the elastic anomalies associated with ferroelectric (FE) phase transitions in the framework of the Landau theory is combined with the piezoelectric constitutive relations instead of being explicitly carried out with a definite expression of the FE part of the free energy. In this manner it is shown that the softening within the FE phase is of electrostrictive and hence piezoelectric origin. Such a piezoelectric softening may be canceled by the better known piezoelectric stiffening… Show more

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Cited by 21 publications
(25 citation statements)
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References 26 publications
(50 reference statements)
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“…(1) relies on the assumption that the depolarization field is negligible, a condition that it is argued to be approximated for unpoled samples probed by vibrations whose wavelength exceed the domain size. [36][37][38] There is however no quantitative assessment in this sense yet, and it cannot be excluded that at the present conditions E dep partially restrains the piezoelectric softening in the absence of free charges. In this case, the charge carriers introduced by doping would neutralize the polarization charges and the associated E dep , resulting in an enhancement of the observed piezoelectric softening.…”
Section: B Interpretation Of the Elastic Anomalies In Batio 3−δ As Pmentioning
confidence: 82%
“…(1) relies on the assumption that the depolarization field is negligible, a condition that it is argued to be approximated for unpoled samples probed by vibrations whose wavelength exceed the domain size. [36][37][38] There is however no quantitative assessment in this sense yet, and it cannot be excluded that at the present conditions E dep partially restrains the piezoelectric softening in the absence of free charges. In this case, the charge carriers introduced by doping would neutralize the polarization charges and the associated E dep , resulting in an enhancement of the observed piezoelectric softening.…”
Section: B Interpretation Of the Elastic Anomalies In Batio 3−δ As Pmentioning
confidence: 82%
“…The two anomalies at the tilt transitions consist of steplike softenings on cooling, and hence stiffenings during heating, as observed in Figure 7. Instead, the step of opposite sign, which is clearly visible during all heatings and many coolings, is identified with the polar AFE mode, based on the fact that in the FE phase there is a piezoelectric softening [13], which disappears together with the piezoelectric constants in the AFE phase. Initially we exchanged the assignments of the steps from the OT and AF modes [44,45], because we had not yet recognized the importance of the piezoelectric softening, but those fits are valid with minimal changes in the parameters and exchanging the assignments OT and AF.…”
Section: Aging and Recovery Of Pzt Undergoing Fe/afe Transitionsmentioning
confidence: 99%
“…In addition, the elastic response of the intermediate phase between T AF and T C has changed, as put in evidence in Fig. 4; here the s ′ heating curves of undoped and La doped PZT are compared and the dashed region corresponds to the piezoelectric softening 22 within the FE phase of PZT, totally absent in PLZT, so that even the sign of the step at T AF has changed.…”
Section: Introductionmentioning
confidence: 96%
“…In undoped PZT, when cooling from the PE phase one finds a very extended precursor softening ending in a spike at T C and the compliance remains larger (or the modulus softer) in the FE phase. The softening in the FE phase is of piezoelectric origin 22 , and is therefore absent in the AFE phase. In fact, in Fig.…”
Section: Fig 7 Volumes Of the Pseudocubic Unit Cells R-fe (R3m) O-mentioning
confidence: 99%