2000
DOI: 10.1103/physrevlett.84.5216
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Abstract: Neutron inelastic scattering measurements of the polar transverse optic phonon mode dispersion in the cubic relaxor Pb(Zn(1/3)Nb(2/3))0.92Ti0.08O3 at 500 K reveal anomalous behavior in which the optic branch appears to drop precipitously into the acoustic branch at a finite value of the momentum transfer q = 0.2 A(-1) measured from the zone center. We speculate that this behavior is the result of nanometer-sized polar regions in the crystal.

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Cited by 144 publications
(93 citation statements)
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References 21 publications
(25 reference statements)
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“…2b, is qualitatively different, and the localizing mode, which has a constant intensity for K40.3, is not evident below K ¼ 0.3. There is also an additional intensity bridging the gap between the TA and TO modes, which may be evidence of a 'waterfall' effect 14 , although this disappears at 488 K. On cooling to 293 K (Fig. 1d), below T C , the localizing mode develops strong dispersion (delocalizes).…”
Section: Resultsmentioning
confidence: 99%
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“…2b, is qualitatively different, and the localizing mode, which has a constant intensity for K40.3, is not evident below K ¼ 0.3. There is also an additional intensity bridging the gap between the TA and TO modes, which may be evidence of a 'waterfall' effect 14 , although this disappears at 488 K. On cooling to 293 K (Fig. 1d), below T C , the localizing mode develops strong dispersion (delocalizes).…”
Section: Resultsmentioning
confidence: 99%
“…The resulting distribution of slowing frequencies would map to the ILM models of relaxor ferroelectrics [25][26][27] , but the size, shape and distribution of the PNRs would be dictated by the resonance wave vector of the intiating Anderson-localized phonons. In this model, the vertical columns of diffuse inelastic intensity observed near the zone centre 14 and zone edges 17 are interpreted as the distribution of slowing local modes [25][26][27] .…”
Section: Resultsmentioning
confidence: 99%
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“…In conventional ferroelectrics such as PbTiO 3 ͑PT͒, neutron inelastic scattering was used to show that the condensation or softening of a zone-center, transverse optic ͑TO͒ phonon mode drives the C → T ferroelectric transition, 25 while the square of the soft-mode energy ͑ប 0 ͒ 2 varies linearly with temperature above and below the Curie point ͑T C = 763 K͒ according to the Lyddane-Sachs-Teller ͑LST͒ relationship. 26 Neutron studies of the relaxors PMN, 19,20 PZN, 27 and PZN-0.08T, 28 however, revealed notable differences with PbTiO 3 in that the corresponding TO mode softens slowly and becomes heavily damped at high temperature near T d , the well-known Burns temperature where static, polar nanoregions ͑PNRs͒ first appear. 29 The soft mode remains damped down to ϳ210 K, the temperature below which a remnant polarization can be sustained in a field-cooled state, 30 but exhibits an undamped line shape at lower tem-peratures.…”
Section: ͑Pmn-xpt͒mentioning
confidence: 99%
“…Gehring et al discovered that below T d the TO1 branch appeared to dive into the transverse acoustic (TA) branch at a specific wavevector q W F ≈ 0.20Å and no TO1 phonon could be resolved from the INS spectra at lower q. 18,19,21 Gehring et al named this effect the "waterfall", and explained it by the presence of polar clusters below T d . According to their arguments, when the wavelength of the TO1 mode becomes comparable to the size of the polar clusters, it cannot propagate and thus becomes overdamped.…”
Section: Introductionmentioning
confidence: 99%