Experimental study of photon correlation spectroscopy for the long-range fluctuation of polarization in ferroelectrics

Zhang Ming-Jun; Guo Zhi; Tai Ren-Zhong; Zhang Xiang-Zhi; Luo Hao-Su

doi:10.7498/aps.64.147801

Abstract

Based on the theory of random fluctuation of polarization clusters and the model of Wiener random process, the relaxation law of long-range fluctuation of polarization and the possible forms of light intensity autocorrelation function g2(τ) measured from photon correlation spectroscopy (PCS) experiments have been derived. The relationship between relaxation mechanisms of microscopic polarization clusters and macro relaxation laws is expounded. This research supplies a theoretical model for the application of PCS in researching the relaxation process of polarization clusters in ferroelectrics. Based on the improved He-Ne laser PCS experimental set-up, the relaxation process of long-range fluctuation of polarization clusters in BaTiO3 and 0.71Pb (Mg1/3Nb2/3) O3-0.29PbTiO3 single crystals near phase transition temperature is studied. As for BaTiO3, the dual relaxation processes of long-range fluctuation of polarization clusters are observed at temperatures above TC+4 K, which may be related to its order-disorder mechanism of phase transition. For 0.71Pb (Mg1/3Nb2/3) O3-0.29PbTiO3, the dual relaxation processes exist on both sides of the cubic-tetragonal phase transition temperature. The PCS experimental results are fitted well by the derived theoretical model, and the characteristic relaxation times of long-range fluctuation of polarization clusters are extracted. Two relaxation times, τs and τl corresponding to short and long relaxation time, respectively, are initially observed, where τs is several microseconds, and τl is tens of microseconds. The abrupt increase of relaxation times at phase transition temperature and the phenomenon of critical slowing down can be observed in the two samples.

Keywords:

Authors and contacts

1.
Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201204, China;
2.
University of Chinese Academy of Sciences, Bejing 100049, China;
3.
Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, China
Funds: Project supported by the National Natural Science Fund for Distinguished young Scholars of China (Grant No. 11225527), the Key Program of National Natural Science Foundation of China (Grant No. 5133002), the National key Basic Research Program of China (Grant No. 2013CB632901), the Shanghai Academic Leadership Program, China (Grant No. 13XD1404400), and the National Natural Science Foundation of China (Grant Nos. 110311005147).

References

[1]	Pike E R, Abbiss J B 1997 Light Scattering and Photon Correlation Spectroscopy (Vol. 40) (Dordrecht: Kluwer Academic Publishers) pp65-67
[2]	Lin Y, Yang G C, Wang Y W 2013 Acta Phys. Sin. 62 118702 (in Chinese) [林瑜, 杨光参, 王艳伟 2013 物理学报 62 118702]
[3]	Liu X Y, Shen J, Zhu X J, Sun X M, Liu W 2012 Acta Opt. Sin. 32 0629002 (in Chinese) [刘晓艳, 申晋, 朱新军, 孙贤明, 刘伟 2012 光学学报 32 0629002]
[4]	Wang L N, Zhao X Y, Zhang L L, Huang Y N 2012 Chin. Phys. B 21 086403
[5]	Kleemann W, Licinio P, Woike T, Pankrath R 2001 Phys. Rev. Lett. 86 6014
[6]	Elissalde C, Ravez J 2001 J. Mater. Chem. 11 1957
[7]	Zhao J Y, Cui B, Chang Z G, Tang Z X 2008 Mater. Rev. 22 21 (in Chinese) [赵俊英, 崔斌, 畅柱国, 唐宗薰 2008 材料导报 22 21]
[8]	Chu R Q, Xu Z J, Li G R, Zeng H R, Yu H F, Shao X, Luo H S, Yin Q R 2005 Acta Phys. Sin. 54 935 (in Chinese) [初瑞清, 徐志军, 李国荣, 曾华荣, 余寒峰, 邵鑫, 罗豪甦, 殷庆瑞 2005 物理学报 54 935]
[9]	Cochran W 1960 Advan. Phys. 9 387
[10]	Harada J, Axe J D, Shirane G 1971 Phys. Rev. B 4 155
[11]	Vogt H, Sanjurjo J A, Rossbroich G 1982 Phys. Rev. B 26 5904
[12]	Presting H, Sanjurjo J A, Vogt H 1983 Phys. Rev. B 28 6097
[13]	Sokoloff J P, Chase L L, Rytz D 1988 Phys. Rev. B 38 597
[14]	Comes R, Lambert M, Guinier A 1968 Solid State Commun. 6 715
[15]	Zalar B, Laguta V V, Blinc R 2003 Phys. Rev. Lett. 90 037601
[16]	Zalar B, Levar A, Seliger J, Blinc R, Laguta V V, Itoh M 2005 Phys. Rev. B 71 064107
[17]	Ko J H, Kim T H, Roleder K, Rytz D, Kojima S 2011 Phys. Rev. B 84 094123
[18]	Yamada Y, Shirane G, Linz A 1969 Phys. Rev. 177 848
[19]	Tai R Z, Namikawa K, Sawada A, Kishimoto M, Tanaka M, Lu P, Nagashima K, Maruyama H, Ando M 2004 Phys. Rev. Lett. 93 087601
[20]	Namikawa K, Kishimoto M, Nasu K, Matsushita E, Tai R Z, Sukegawa K, Yamatani H, Hasegawa H, Nishikino M, Tanaka M, Nagashima K 2009 Phys. Rev. Lett. 103 197401
[21]	Yan R, Guo Z, Tai R, Xu H, Zhao X, Lin D, Li X, Luo H 2008 Appl. Phys. Lett. 93 192908
[22]	Zhang M J, Guo Z, Tai R Z, Luo H S, Namikawa K 2015 Jpn. J. Appl. Phys. 54 042401
[23]	Li F, Zhang S J, Li Z R, Xu Z 2012 Prog. Phys. 32 178 (in Chinese) [李飞, 张树君, 李振荣, 徐卓 2012 物理学进展 32 178]
[24]	Tyunina M, Levoska J 2001 Phys. Rev. B 63 224102
[25]	Smolenskii G A, Isupov V A, Agranovskaya A I, Popov S N 1961 Sov. Phys. Solid State 2 2584
[26]	Cross L E 1987 Ferroelectrics 76 241
[27]	Viehland D, Jang S J, Cross L E 1990 J. Appl. Phys. 68 2916
[28]	Pirc R, Blinc R 1999 Phys. Rev. B 60 13470
[29]	Ko J H, Kim D H, Tsukada S, Kojima S 2010 Phys. Rev. B 82 104110
[30]	Xu G, Wen J, Stock C, Gehring P M 2008 Nat. Mater. 7 562
[31]	Bovtun V, Petzelt J, Porokhonskyy V, Kamba S, Yakimenko Y 2001 J. Eur. Ceram. Soc. 21 1307
[32]	Tagantsev A K, Glazounov A E 1998 Phys. Rev. B 57 18
[33]	Lambert M, Comes R 1969 Solid State Commun. 7 305
[34]	Bokov A A, Ye Z G 2006 J. Mater. Sci. 41 31
[35]	Shamblin S L, Hancock B C, Dupuis Y, Pikal M J 1999 J. Pharm. Sci. 89 417
[36]	Apitz D, Johansen P M 2005 J. Appl. Phys. 97 063507
[37]	Maglione M, Böhmer R, Loidl A, Höchli U T 1989 Phys. Rev. B 40 11441
[38]	Hlinka J, Ostapchuk T, Nuzhnyy D, Petzelt J, Kuzel P, Kadlec C, Vanek P, Ponomareva I, Bellaiche L 2008 Phys. Rev. Lett. 101 167402
[39]	Ji K, Namikawa K, Zheng H, Nasu K 2009 Phys. Rev. B 79 144304

Cited By

[1]	Pike E R, Abbiss J B 1997 Light Scattering and Photon Correlation Spectroscopy (Vol. 40) (Dordrecht: Kluwer Academic Publishers) pp65-67
[2]	Lin Y, Yang G C, Wang Y W 2013 Acta Phys. Sin. 62 118702 (in Chinese) [林瑜, 杨光参, 王艳伟 2013 物理学报 62 118702]
[3]	Liu X Y, Shen J, Zhu X J, Sun X M, Liu W 2012 Acta Opt. Sin. 32 0629002 (in Chinese) [刘晓艳, 申晋, 朱新军, 孙贤明, 刘伟 2012 光学学报 32 0629002]
[4]	Wang L N, Zhao X Y, Zhang L L, Huang Y N 2012 Chin. Phys. B 21 086403
[5]	Kleemann W, Licinio P, Woike T, Pankrath R 2001 Phys. Rev. Lett. 86 6014
[6]	Elissalde C, Ravez J 2001 J. Mater. Chem. 11 1957
[7]	Zhao J Y, Cui B, Chang Z G, Tang Z X 2008 Mater. Rev. 22 21 (in Chinese) [赵俊英, 崔斌, 畅柱国, 唐宗薰 2008 材料导报 22 21]
[8]	Chu R Q, Xu Z J, Li G R, Zeng H R, Yu H F, Shao X, Luo H S, Yin Q R 2005 Acta Phys. Sin. 54 935 (in Chinese) [初瑞清, 徐志军, 李国荣, 曾华荣, 余寒峰, 邵鑫, 罗豪甦, 殷庆瑞 2005 物理学报 54 935]
[9]	Cochran W 1960 Advan. Phys. 9 387
[10]	Harada J, Axe J D, Shirane G 1971 Phys. Rev. B 4 155
[11]	Vogt H, Sanjurjo J A, Rossbroich G 1982 Phys. Rev. B 26 5904
[12]	Presting H, Sanjurjo J A, Vogt H 1983 Phys. Rev. B 28 6097
[13]	Sokoloff J P, Chase L L, Rytz D 1988 Phys. Rev. B 38 597
[14]	Comes R, Lambert M, Guinier A 1968 Solid State Commun. 6 715
[15]	Zalar B, Laguta V V, Blinc R 2003 Phys. Rev. Lett. 90 037601
[16]	Zalar B, Levar A, Seliger J, Blinc R, Laguta V V, Itoh M 2005 Phys. Rev. B 71 064107
[17]	Ko J H, Kim T H, Roleder K, Rytz D, Kojima S 2011 Phys. Rev. B 84 094123
[18]	Yamada Y, Shirane G, Linz A 1969 Phys. Rev. 177 848
[19]	Tai R Z, Namikawa K, Sawada A, Kishimoto M, Tanaka M, Lu P, Nagashima K, Maruyama H, Ando M 2004 Phys. Rev. Lett. 93 087601
[20]	Namikawa K, Kishimoto M, Nasu K, Matsushita E, Tai R Z, Sukegawa K, Yamatani H, Hasegawa H, Nishikino M, Tanaka M, Nagashima K 2009 Phys. Rev. Lett. 103 197401
[21]	Yan R, Guo Z, Tai R, Xu H, Zhao X, Lin D, Li X, Luo H 2008 Appl. Phys. Lett. 93 192908
[22]	Zhang M J, Guo Z, Tai R Z, Luo H S, Namikawa K 2015 Jpn. J. Appl. Phys. 54 042401
[23]	Li F, Zhang S J, Li Z R, Xu Z 2012 Prog. Phys. 32 178 (in Chinese) [李飞, 张树君, 李振荣, 徐卓 2012 物理学进展 32 178]
[24]	Tyunina M, Levoska J 2001 Phys. Rev. B 63 224102
[25]	Smolenskii G A, Isupov V A, Agranovskaya A I, Popov S N 1961 Sov. Phys. Solid State 2 2584
[26]	Cross L E 1987 Ferroelectrics 76 241
[27]	Viehland D, Jang S J, Cross L E 1990 J. Appl. Phys. 68 2916
[28]	Pirc R, Blinc R 1999 Phys. Rev. B 60 13470
[29]	Ko J H, Kim D H, Tsukada S, Kojima S 2010 Phys. Rev. B 82 104110
[30]	Xu G, Wen J, Stock C, Gehring P M 2008 Nat. Mater. 7 562
[31]	Bovtun V, Petzelt J, Porokhonskyy V, Kamba S, Yakimenko Y 2001 J. Eur. Ceram. Soc. 21 1307
[32]	Tagantsev A K, Glazounov A E 1998 Phys. Rev. B 57 18
[33]	Lambert M, Comes R 1969 Solid State Commun. 7 305
[34]	Bokov A A, Ye Z G 2006 J. Mater. Sci. 41 31
[35]	Shamblin S L, Hancock B C, Dupuis Y, Pikal M J 1999 J. Pharm. Sci. 89 417
[36]	Apitz D, Johansen P M 2005 J. Appl. Phys. 97 063507
[37]	Maglione M, Böhmer R, Loidl A, Höchli U T 1989 Phys. Rev. B 40 11441
[38]	Hlinka J, Ostapchuk T, Nuzhnyy D, Petzelt J, Kuzel P, Kadlec C, Vanek P, Ponomareva I, Bellaiche L 2008 Phys. Rev. Lett. 101 167402
[39]	Ji K, Namikawa K, Zheng H, Nasu K 2009 Phys. Rev. B 79 144304

[1]	Wen Da-Dong, Qi Qing-Hua, Huang Xin-Xin, Yi Zhou, Deng Yong-He, Tian Ze-An, Peng Ping. Heredity of clusters in liquid Ta rapid solidification process and its correlation with local symmetry. Acta Physica Sinica, 2023, 72(24): 246101. doi: 10.7498/aps.72.20231153
[2]	Li Ming-Fei, Yan Lu, Yang Ran, Kou Jun, Liu Yuan-Xing. Turbulence-free intensity fluctuation self-correlation imaging with sunlight. Acta Physica Sinica, 2019, 68(9): 094204. doi: 10.7498/aps.68.20182181
[3]	Wang Hui, Kuang Xiao-Yu, Mao Ai-Jie. Theoretical study of local polarization phenomena of (CrO6)9－cluster in emerald. Acta Physica Sinica, 2010, 59(5): 3450-3454. doi: 10.7498/aps.59.3450
[4]	Zhao Yi. Localization in the one-dimensional systems with long-range correlated disorder. Acta Physica Sinica, 2010, 59(1): 532-535. doi: 10.7498/aps.59.532
[5]	Deng Chao-Sheng, Xu Hui, Liu Xiao-Liang, Wu Xiao-Zan. Effect of disorder degree on the localization-delocalization transition in one-dimensional disordered system with long-range correlations. Acta Physica Sinica, 2008, 57(4): 2415-2420. doi: 10.7498/aps.57.2415
[6]	Wang Ya-Jing, Li Hong-Yun, Xue Yan-Li, Wang De-Hua, Lin Sheng-Lu. The long-range scattering matrix of the recurrence spectra of NO molecules in strong field. Acta Physica Sinica, 2007, 56(11): 6209-6213. doi: 10.7498/aps.56.6209
[7]	Gan Chen-Li, Zhang Yan-Peng, Yu Xiao-Jun, Nie Zhi-Qiang, Li Ling, Song Jian-Ping, Ge Hao, Jiang Tong, Zhang Xiang-Chen, Lu Ke-Qing. Two-photon asymmetric color-locking second-order stochastic correlation of attosecond polarization beats. Acta Physica Sinica, 2007, 56(5): 2670-2677. doi: 10.7498/aps.56.2670
[8]	Zhang Yan-Ping, Zhang Feng-Shou, Meng Ke-Lai, Xiao Guo-Qing. Optical absorption spectra of Na5, Na6 and Na7 clusters: a theoretical study. Acta Physica Sinica, 2007, 56(4): 2092-2097. doi: 10.7498/aps.56.2092
[9]	Wang Yan, Zhang Shu-Dong, Zhu Xiang-Jun, Kong Xiang-He. Mass spectrum of laser ionized diethyl ether clusters studied with ab initio calculation. Acta Physica Sinica, 2007, 56(8): 4491-4496. doi: 10.7498/aps.56.4491
[10]	Xu Hui, Deng Chao-Sheng, Liu Xiao-Liang, Ma Song-Shan, Wu Xiao-Zan. The electronic states in one-dimensional disordered system with long-range correlations. Acta Physica Sinica, 2007, 56(3): 1643-1648. doi: 10.7498/aps.56.1643
[11]	Yuan Yong-Bo, Liu Yu-Zhen, Deng Kai-Ming, Yang Jin-Long. Assignment of photoelectron spectra of SiN cluster. Acta Physica Sinica, 2006, 55(9): 4496-4500. doi: 10.7498/aps.55.4496
[12]	Xiao Xue, Li Hai-Yang, Luo Xiao-Lin, Niu Dong-Mei, Wen Li-Hua, Wang Bin, Liang Feng, Hou Ke-Yong, Zhang Na-Zhen. Cluster-assisted multiple ionization of CS2 by intense nanosecond laser beam. Acta Physica Sinica, 2005, 54(11): 5098-5103. doi: 10.7498/aps.54.5098
[13]	Han Li-Bo, Cao Li, Wu Da-Jin, Wang Jun. Normalized intensity fluctuation for bias signal modulation in a single-mode laser driven by colored correlated noises. Acta Physica Sinica, 2004, 53(10): 3363-3368. doi: 10.7498/aps.53.3363
[14]	Jia Wen-Hong, Wu Hai-Shun. Studies on structures and photoelectron spectroscopy of GamPn and GamP-n clusters. Acta Physica Sinica, 2004, 53(4): 1056-1062. doi: 10.7498/aps.53.1056
[15]	Cheng Yuan-Li, Zhao Yong-Peng, Xiao Yi-Fan, Xia Yuan-Qin, Chen Jian-Xin, Wang Qi. Soft-x-ray emission from Ar clusters irradiated by 150fs laser pulses. Acta Physica Sinica, 2003, 52(10): 2453-2456. doi: 10.7498/aps.52.2453
[16]	He Chun-Long, Wang Feng, Li Jia-Ming. Theoretical study of the infrared spectrum of clusters. Acta Physica Sinica, 2003, 52(8): 1911-1915. doi: 10.7498/aps.52.1911
[17]	SONG JIAN-JUN, LI XI-GUO. LONG-RANGE CORRELATIONS IN QUANTUM SPECTRA. Acta Physica Sinica, 2001, 50(9): 1661-1665. doi: 10.7498/aps.50.1661
[18]	ZHAI HUA-JIN, NI GUO-QUAN, ZHOU RU-FANG, WANG YU-ZHU. ODD-EVEN AL TERNATION IN ALUMINUM ANION CLUSTERS: MASS ABUNDANCE SPECTRA OBSERVATION AND THE MECHANISMS. Acta Physica Sinica, 1997, 46(9): 1674-1680. doi: 10.7498/aps.46.1674
[19]	HUO YU-PING, ZHANG CHENG. THE SPACE-TIME CORRELATION OF THE FLUCTUATION IN A CHEMICAL REACTION SYSTEM (II)——THE CRITICAL BEHAVIOR OF NON-LINEAR SYSTEMS. Acta Physica Sinica, 1982, 31(3): 359-385. doi: 10.7498/aps.31.359
[20]	HUO YU-PING. THE SPACE-TIME CORRELATION OF THE FLUCTUATION IN A CHEMICAL REACTION SYSTEM (I)——FLUCTUATION, DIFFUSION AND WARES. Acta Physica Sinica, 1982, 31(3): 355-368. doi: 10.7498/aps.31.355

Catalog

Vol. 64, Issue 14 - 2015-07-20

Metrics

Abstract views: 4681
PDF Downloads: 141
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板