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Lattice dynamics and antiferroelectricity inPbZrO3tested by x-ray and Brillouin light scattering
Burkovsky, R. G.,Tagantsev, A. K.,Vaideeswaran, K.,Setter, N.,Vakhrushev, S. B.,Filimonov, A. V.,Shaganov, A.,Andronikova, D.,Rudskoy, A. I.,Baron, A. Q. R.,Uchiyama, H.,Chernyshov, D.,Ujma, Z.,Rolede American Physical Society 2014 Physical review. B, Condensed matter and materials Vol.90 No.14
고재현,T.H. Kim,S. Kojima,K. Roleder,D. Rytz,C.J. Won,허남정,정종훈,구태영,S.B. Kim,박기복 한국물리학회 2012 Current Applied Physics Vol.12 No.4
The temperature variations of the elastic constant C11 and the corresponding acoustic attenuation coefficient of barium titanate single crystals grown by two different methods in the paraelectric phase were obtained in a wide temperature by means of Brillouin light scattering. Two phenomenological approaches were adopted to attempt to explain the anomalous change in C11 (denoted as DC11) in the paraelectric phase. ΔC11 exhibited a logarithmic variation as log[(T-T0)/T0] in a certain temperature range from Tc to about Tc+ 80 ℃ instead of the other variation of (T-T0) predicted by the mean-field approach. This temperature range was almost the same as the range where precursor dynamics were theoretically predicted to set in. The fact that the logarithmic variation was proposed for uniaxial systems might indicate that the correlated deformation of precursor polar clusters is tetragonal, as was suggested from nuclear magnetic resonance study [7].
Ko, J.-H.,Kim, T.H.,Kojima, S.,Roleder, K.,Rytz, D.,Won, C.J.,Hur, N.J.,Jung, J.H.,Koo, T.-Y.,Kim, S.B.,Park, K. Elsevier 2012 Current Applied Physics Vol.12 No.4
<P><B>Abstract</B></P><P>The temperature variations of the elastic constant <I>C</I><SUB>11</SUB> and the corresponding acoustic attenuation coefficient of barium titanate single crystals grown by two different methods in the paraelectric phase were obtained in a wide temperature by means of Brillouin light scattering. Two phenomenological approaches were adopted to attempt to explain the anomalous change in <I>C</I><SUB>11</SUB> (denoted as Δ<I>C</I><SUB>11</SUB>) in the paraelectric phase. Δ<I>C</I><SUB>11</SUB> exhibited a logarithmic variation as log[(<I>T</I>−<I>T</I><SUB>0</SUB>)/<I>T</I><SUB>0</SUB>] in a certain temperature range from <I>T</I><SUB>c</SUB> to about <I>T</I><SUB>c</SUB>+80°C instead of the other variation of (<I>T</I>−<I>T</I><SUB>0</SUB>)<SUP><I>ζ</I></SUP> predicted by the mean-field approach. This temperature range was almost the same as the range where precursor dynamics were theoretically predicted to set in. The fact that the logarithmic variation was proposed for uniaxial systems might indicate that the correlated deformation of precursor polar clusters is tetragonal, as was suggested from nuclear magnetic resonance study <ce:cross-ref refid='bib7'>[7]</ce:cross-ref>.</P> <P><B>Highlights</B></P><P>► We measure the temperature variation of the elastic constant of barium titanate. ► The elastic constant shows logarithmic temperature variation in the paraelectric phase. ► The anomalous change of the elastic constant is related to the precursor dynamics.</P>