Empirical scaling of the dielectric permittivity peak in relaxor ferroelectrics

Bokov, Alexei A.; Bing, Yonghong; Chen, W.; Ye, Z.-G.; Bogatina, S. A.; Raevski, I. P.; Raevskaya, S. I.; Sahkar, E. V.

doi:10.1103/physrevb.68.052102

Cited by 226 publications

(114 citation statements)

References 20 publications

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“…Furthermore, the temperature dependence of the dielectric constant in the temperature range from the ferroelectric transition temperature ͑T C = 521 K͒ to T B could be described by an empirical quadratic scaling relation. 8 These results strongly indicate some relaxorlike nature in this PMN-xPT of high-PT content. This letter reports on detailed Brillouin light scattering study on PMN-55%PT single crystals in a wide temperature range, which shows very strong relaxational dynamics as well as significant softening of acoustic modes above T C .…”

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confidence: 59%

Light scattering study of acoustic phonon modes and central peaks in Pb[(Mg1∕3Nb2∕3)0.45Ti0.55]O3 single crystals

Kojima

Bokov

et al. 2007

Applied Physics Letters

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The dynamic polar nanoregions ͑PNRs͒ which form below the Burns temperature and determine the unique properties of relaxor ferroelectrics were predicted ͓Tinte et al., Phys. Rev. Lett. 97, 137601 ͑2006͔͒ to be pinned to the quenched chemically ordered regions ͑CORs͒ usually observed in lead-containing relaxors. In Pb͓͑Mg 1/3 Nb 2/3 ͒ 0.45 Ti 0.55 ͔O 3 crystal where CORs are known to be absent, we have found the phenomena typically related to the relaxation of dynamic PNRs, namely, the significant Brillouin quasielastic scattering, the softening of the longitudinal acoustic mode, and the deviation from the Curie-Weiss law above the Curie point. This implies that PNRs may appear in crystals without CORs.

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confidence: 59%

Light scattering study of acoustic phonon modes and central peaks in Pb[(Mg1∕3Nb2∕3)0.45Ti0.55]O3 single crystals

Kojima

Bokov

et al. 2007

Applied Physics Letters

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“…16,17,18 The degree of the ε(T ) maximum diffusion evaluated using approach 22 is about 20 K, in good agreement with the data for PMN-PT31 crystals and PMN-PT35 ceramics. 22 In the FC mode, the application of even a relatively small dc bias leads to substantial changes of ε(T ). Permittivity in the tetragonal phase decreases with the bias while, in the rhombohedral phase, it increases initially, but, at higher biases, begins to decrease (Fig.…”

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confidence: 99%

Nontrivial dependence of dielectric stiffness on bias field in relaxors and dipole glasses

Prosandeev

Raevski

Emelyanov

et al. 2005

Journal of Applied Physics

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“…The above equation describes the high temperature ͑T Ͼ T m ͒ dielectric permittivity quite well in a number of relaxor ferroelectrics. 7,12 Lei et al 13 also found that both high temperature and low temperature sides of the dielectric maximum of Ba͑Ti 0.8 Sn 0.2 ͒O 3 ceramics can be described by the above Lorentz-type relation. In this letter, we propose that this Lorentz-type behavior is not only observed in relaxors but also universally observed in ferroelectrics with or without DFT.…”

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Lorentz-type relationship of the temperature dependent dielectric permittivity in ferroelectrics with diffuse phase transition

Ke¹,

Fan²,

Huang³

et al. 2008

Applied Physics Letters

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The temperature dependence of the dielectric permittivity of perovskite Ba͑Zr x Ti 1−x ͒O 3 solid solutions, PbMg 1/3 Nb 2/3 O 3 relaxor, and BaTiO 3 ferroelectric ceramics was measured. It is found that a Lorentz-type law can be used to describe the dielectric permittivity of either the normal ferroelectrics with or without diffuse phase transitions ͑DPT͒ or the typical ferroelectric relaxors. The ferroelectric DPT can be well described by just one fitting process using the Lorentz-type law, while the relaxor ferroelectric transition needs two independent fitting processes. The Lorentz-type law fails at the low temperature side of the dielectric maximum of a first-order ferroelectric phase transition. Above the transition temperature, the dielectric curves of all the studied materials can be well described by a Lorentz-type law. © 2008 American Institute of Physics. ͓DOI: 10.1063/1.2987733͔A broad peak in the temperature dependence of dielectric permittivity is the main feature of ferroelectrics with a diffuse phase transition ͑DPT͒, especially for ferroelectric relaxors. [1][2][3][4] Actually, systems showing a broad dielectric peak at the frequency-independent peak temperature T m are different from the relaxor-type DPTs. 1,4 In typical relaxors, strong frequency dispersion in dielectric permittivity is observed at the low temperature side of the dielectric peak, while the high temperature permittivity is almost frequency independent. The temperature for maximum permittivity T m shifts to higher values with increasing frequencies following the Vogel-Fulcher law. 3 For a ferroelectric phase transition, the Curie-Weiss law 1 / = ͑T − T C ͒ / C is known to describe the high temperature side of the sharp permittivity peak in normal ferroelectrics. However, in ferroelectrics with DPT this law is observed only at temperatures significantly higher than T m ͓over 300 K for PbMg 1/3 Nb 2/3 O 3 ͑PMN͔͒. 1,2 When the temperature is decreased below the Burn's temperature T B , polar nanoregions ͑PNRs͒ appear and the displacive-type soft mode is overdamped. 5 The Curie-Weiss law becomes invalid within the temperature range of T m -T B .Since Smolenskii's 6 work, the temperature dependence of the dielectric permittivity above T m has been widely studied in order to find out the characteristic dielectric behavior of ferroelectrics with DFT. There are several models to quantitatively describe the temperature dependent dielectric permittivity of DPT. A brief review of these models has been given by Bokov and Ye. 7 Among these models, the following power law 8,9 is the most popular one:where the parameters ␥ and ␦ reflect the diffuseness of dielectric relaxation. Normally, ␥ = 1 describes a Curie-Weiss behavior of normal ferroelectrics, while ␥ = 2 is valid for a classical ferroelectric relaxor. 8 It should be mentioned that the maximum permittivity m and the temperature at maximum permittivity T m are frequency-dependent quantities for relaxors. So the parameters ␦ and ␥ also depend on frequency, and therefore Eq. ͑1͒ is not a...

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Empirical scaling of the dielectric permittivity peak in relaxor ferroelectrics

Cited by 226 publications

References 20 publications

Light scattering study of acoustic phonon modes and central peaks in Pb[(Mg1∕3Nb2∕3)0.45Ti0.55]O3 single crystals

Light scattering study of acoustic phonon modes and central peaks in Pb[(Mg1∕3Nb2∕3)0.45Ti0.55]O3 single crystals

Nontrivial dependence of dielectric stiffness on bias field in relaxors and dipole glasses

Lorentz-type relationship of the temperature dependent dielectric permittivity in ferroelectrics with diffuse phase transition

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