铁电相变中极化与介电性的随机场效应

甘永超; 曹万强

doi:10.7498/aps.62.127701

摘要

基于随机场Ising模型描述的有序无序相变中偶极子在电场作用下的反转运动, 研究了有序无序相变过程中电场与极化强度的关系. 认为tanh(x) 的函数关系与位移型二阶铁电相变极化强度随电场变化的实验结果完全相同. 由此得出基本结论: 偶极子的集体转向造成了极化强度的增大并等同于内电场的增加. 通过区分光学模和偶极子对介电隔离率的贡献, 考虑偶极子极化对介电常数复数形式的频率色散关系, 发现从高斯分布的居里温度可以导出二阶铁电相变过程中介电常数与温度和频率的色散关系.

关键词:

铁电相变 /
极化强度 /
随机场

Abstract

Based on reversion motion of dipoles in ferroelectrics under the electric field in the random field Ising model, the relationship between electric field and polarization in order-disorder transition is investigated, and the function tanh(x) for the electric field in order-disorder transition is coincident with the experimental relationship between electric field and polarization in the second order ferroelectric transition. Therefore, increases in polarization and internal poling field are due to the collective motion of dipoles, where electric field and temperature are critical in the polarization and Gibbs free energy. By distinguishing the contributions between optic mode and polarization portion with a gaussian-type distribution of Curie-temperature, and considering a complex dispersion form of dielectric permittivity contributed by dipoles, the relationships between dielectric permittivity and temperature, as well as frequency, are derived.

Keywords:

作者及机构信息

甘永超¹,
曹万强²

1.
湖北大学物理学与电子技术学院, 武汉 430062;

2.
湖北大学材料科学与工程学院, 武汉 430062

基金项目: 功能材料绿色制备与应用教育部重点实验室资助的课题.

Authors and contacts

Gan Yong-Chao¹,
Cao Wan-Qiang²

1.
School of Physics and Electronic Engineering, Hubei University, Wuhan 430062, China;

2.
School of Materials Science and Engineering, Hubei University, Wuhan 430062, China

Funds: Project supported by the Key Laboratory of Ministry of Education for the Green Preparation and Application of Functional Material of Ministry of Education, China.

参考文献

[1]	Yao X, Chen Z L, Cross L E 1983 J. Appl. Phys. 54 3399
[2]	Yao X, Chen Z L, Cross L E 1984 Ferroelectrics 54 163
[3]	Cross L E 1987 Ferroelectrics 76 241
[4]	Shang X Z, Chen W, Cao W Q 2012 Acta Phys. Sin. 61 217701 (in Chinese) [尚勋忠, 陈威, 曹万强2012 物理学报 61 217701]
[5]	Tang X G, Chew K H, Chan H L W 2004 Acta Mater. 52 5177
[6]	Fisch R 2003 Phys. Rev. B 67 094110
[7]	Mitsui T, Tatszaki, Nakamura E 1983 An Introduction to the Physics of Ferroelectrics (Beijing: Science Press) p152 (in Chinese) [三井利夫, 达崎达, 中村英二 1983 铁电物理学导论 (北京: 科学出版社)第152页]
[8]	Aubry S 1975 J. Chem. Phys. 62 3216
[9]	Hennings D, Schnell A, Simon G 1982 J. Am. Ceram. Soc. 65 539
[10]	Kleemann W 2012 J. Adv. Diel. 2 1241001
[11]	Zhu C, Liu J M 2010 Chin. Phys. B 19 097702
[12]	Zhong W L 1996 Ferroelectrics (Beijing: Science Press) p73 (in Chinese) [钟维列 1996 铁电物理学 (北京: 科学出版社) 第73页]
[13]	Chen W, Cao W Q 2012 Acta Phys. Sin. 61 097701 (in Chinese) [陈威, 曹万强2012 物理学报 61 097701]
[14]	Cao W Q, Shu M F 2013 Acta Phys. Sin. 62 017701 (in Chinese) [曹万强, 舒明飞 2013 物理学报 62 017701]
[15]	Shang Y L, Shu M F, Chen W, Cao W Q 2012 Acta Phys. Sin. 61 197701 (in Chinese) [尚玉黎, 舒明飞, 陈威, 曹万强2012 物理学报 61 197701]

施引文献

[1]	Yao X, Chen Z L, Cross L E 1983 J. Appl. Phys. 54 3399
[2]	Yao X, Chen Z L, Cross L E 1984 Ferroelectrics 54 163
[3]	Cross L E 1987 Ferroelectrics 76 241
[4]	Shang X Z, Chen W, Cao W Q 2012 Acta Phys. Sin. 61 217701 (in Chinese) [尚勋忠, 陈威, 曹万强2012 物理学报 61 217701]
[5]	Tang X G, Chew K H, Chan H L W 2004 Acta Mater. 52 5177
[6]	Fisch R 2003 Phys. Rev. B 67 094110
[7]	Mitsui T, Tatszaki, Nakamura E 1983 An Introduction to the Physics of Ferroelectrics (Beijing: Science Press) p152 (in Chinese) [三井利夫, 达崎达, 中村英二 1983 铁电物理学导论 (北京: 科学出版社)第152页]
[8]	Aubry S 1975 J. Chem. Phys. 62 3216
[9]	Hennings D, Schnell A, Simon G 1982 J. Am. Ceram. Soc. 65 539
[10]	Kleemann W 2012 J. Adv. Diel. 2 1241001
[11]	Zhu C, Liu J M 2010 Chin. Phys. B 19 097702
[12]	Zhong W L 1996 Ferroelectrics (Beijing: Science Press) p73 (in Chinese) [钟维列 1996 铁电物理学 (北京: 科学出版社) 第73页]
[13]	Chen W, Cao W Q 2012 Acta Phys. Sin. 61 097701 (in Chinese) [陈威, 曹万强2012 物理学报 61 097701]
[14]	Cao W Q, Shu M F 2013 Acta Phys. Sin. 62 017701 (in Chinese) [曹万强, 舒明飞 2013 物理学报 62 017701]
[15]	Shang Y L, Shu M F, Chen W, Cao W Q 2012 Acta Phys. Sin. 61 197701 (in Chinese) [尚玉黎, 舒明飞, 陈威, 曹万强2012 物理学报 61 197701]

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