Domains in ferroelectrics: formation, structure, mobility and related properties

Lu Xiao-Mei; Huang Feng-Zhen; Zhu Jin-Song

doi:10.7498/aps.69.20200312

Abstract

Ferroelectric materials with domains being the basic microstructures, have been investigated for about 100 years. With the development of the material fabrication method and the characterization technique, the important influence of domain configuration on the physical properties of ferroelectrics becomes more and more prominent. Recent researches even reveal that the domains and domain walls can act as individual functional units of micro-nano electronic devices, possessing wide potentials in the areas of information storage, energy transformation, electro-mechanical drive, quantum computation, etc. In this paper, starting from group theory analysis of domain structures, we introduce first the formation and the structures of ferroelectric domains, and then the macroscopic mechanical spectra as well as the electrical properties of the ferroelectric materials. Finally, the recent research progress of polarization switching and domain characterization by piezoresponse force microscopy are also reviewed.

Keywords:

Authors and contacts

National Laboratory of Solid State Microstructures, Collaborative Innovation Center of Advanced Microstructures, School of Physics, Nanjing University, Nanjing 210093, China

Corresponding author: Zhu Jin-Song, jszhu@nju.edu.cn

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References

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Cited By

图 1 SBT中五种不同的畴组态示意图^[10]　(a) 原始极化态; (b) 反相畴; (c) 180°畴; (d) 90°畴; (e) 180°反相畴; (f) 90°反相畴

Figure 1. Schematic domain configurations in SBT^[10]: (a) Original; (b) the translational domain pair; (c) the 180° (rotational) domain pair; (d) the 90° domain pair; (e) the translational –180° domain pair; (f) the translational –90° domain pair.

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图 2 TEM下SBT中的电畴结构^[4,11]　(a), (b) 不同时间相同衍射条件的TEM暗场像; (c), (d) 标出了(a), (b)图中各畴区的极化方向; 红线、蓝线、黑线分别表示反相畴、180°畴界、90°畴界

Figure 2. TEM observation of the domain structure in SBT^[4,11]: (a), (b) TEM dark field images at different time; (c) and (d) the depicted domain patterns of panels (a) and (b) respectively, with arrows showing the polarization directions. The red, blue and black lines are the antiphase boundary, 180^o domain wall and 90° domain wall in SBT, respectively.

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图 3 铁电陶瓷中与氧空位缺陷相关的内耗峰^[17]　(a) BiT和BNT陶瓷的内耗与温度关系; (b) BNT陶瓷在电场极化前后的内耗谱

Figure 3. Internal friction related with oxygen vacancies in ferroelectric ceramics^[17]: (a) Internal friction of BiT and BNT ceramics with temperature; (b) internal friction of BNT ceramics before and after poling.

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图 4 BLT薄膜的应力效应^[28,31,32]　(a)不同晶粒尺寸薄膜中张应力(正值)和压应力(负值)对剩余极化的影响; (b)应力对疲劳特性的影响; (c)应力下电畴重新取向示意图; (d)张应力诱导电畴取向的PFM原位观察

Figure 4. Stress effect in BLT films^[28,31,32]: (a) Normalized remnant polarization with stress for films with different grain sizes; (b) fatigue properties under stress; (c) schematic diagram of stress-induced-polarization-reorientation; (d) in-situ PFM observation of stress-induced-polarization-reorientation.

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图 5 多晶BFO薄膜中的极化开关^[37]　(a)面外z方向的压电位移面; (b)三种不同角度翻转的PFM相位图和翻转晶格示意图

Figure 5. Polarization switching in polycrystalline BFO films^[37]: (a) Displacement along z direction; (b) examples for 71°, 109° and 180° domain switching.

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图 6 LN晶体中的电畴生长^[39,42]　(a)点状畴的半径衰减过程; (b)临界稳定半径与晶片厚度的关系; (c)两种方向条形畴的PFM相位; (d)宽度及不规则度随扫描电压的变化

Figure 6. Domain growth in LN crystals^[39,42]: (a) Decay process of domains with various initial radii; (b) critical initial domain radius as a function of sample thickness; (c) PFM phase images of linear domains along different directions; (d) poling voltage dependence of domain width and irregularity of linear domains.

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图 7 LN晶体中的极化弛豫^[52], 80 V极性扫描后(a) 17 min以及(b) 68 min的PFM相位图; (c)最终稳定翻转畴面积比例随极化电压的变化; (d)回转畴成核时间和生长维度随极化电压的变化

Figure 7. Polarization relaxation in LN single crystals^[52]: PFM phase images in (a) 17 min and (b) 68 min after poling with 80 V; (c) final fraction of switched domains with poling voltage; (d) nucleation time and dimension of domain growth with voltage.

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图 8 LN晶体中的电畴异常翻转^[57]　(a)不同定点脉冲电压条件下异常翻转畴区的压电力显微镜图像; (b)异常翻转畴区半径随脉冲电压和时间的变化; (c)翻转畴区的弛豫; (d)异常翻转畴区寿命随脉冲偏压强度和宽度的变化

Figure 8. Abnormally switched domains in LN crystals^[57]: (a) Piezoresponse phase images after poling with various pulse voltages; (b) internal radius as a function of pulse magnitude; (c) decay process after poling; (d) lifetime of internal domains with poling conditions.

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图 9 铁电拓扑畴^[68]　(a)正、反涡旋示意图; (b) BFO薄膜中原71°畴壁附近定点极化形成的3对涡旋畴

Figure 9. Ferroelectric topological domains^[68]: (a) Schematic of vortex and antivortex structures; (b) three pairs of vortex-antivortex formed near the BFO 71° domain wall.

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图 10 BFO薄膜中的畴壁电导^[85]　(a) c-AFM图像和畴结构示意图; (b)模拟模型示意图和针尖-样品势垒对电流的影响; (c)模拟电势和电流图像

Figure 10. Conductive domain walls in BFO films^[85]: (a) c-AFM image and domain pattern; (b) schematic of domain configuration in the dipole-tunneling model and effect of tip-surface barrier on the simulated current; (c) simulated potential and current images.

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图 11 LN晶体中的畴壁电导^[86]　(a)实验二次谐波图像、c-AFM图像和电流截线图; (b)畴壁粗糙度示意图、粗糙畴壁电流模拟图和截线图

Figure 11. Conductive domain walls in LN crystals^[86]: (a) Cross section obtained by 3D Cherenkov second-harmonic-generation microscopy, c-AFM image, and cross section of the c-AFM image; (b) sketches for domain walls with different roughness, simulated current distribution for the rough domain walls, and cross section of the simulated current.

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图 12 71° BFO条形畴衬底上LSMO薄膜的(a)电输运各向异性和(b)磁电阻各向异性; 109°条形畴衬底上(c)异质结示意图和(d) LSMO (30 nm)/BFO (30 nm)样品的电输运各向异性^[89]

Figure 12. LSMO/BFO heterostructure^[89]: Anisotropic (a) transport and (b) magnetoresistance of LSMO/BFO heterostructure with 71° domain structure; (c) Schematics and (d) anisotropic transport of LSMO (30 nm)/BFO (30 nm) heterostructure with 109° domain pattern.

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表 1 群G = Pm$\bar 3$m对其子群H = P4mm的陪集展开^[4,13]

Table 1. Decompose G = Pm$\bar 3$m into left cosets of subgroup H = P4mm^[4,13].

序号	畴类型	陪集	陪集中的基本对称操作
1	V[001]	H = P4mm	1, 4⁺[001], 2[001], m[100], m[010], m[110], m[$1\bar 10$]
2	V[100]	3^–[$1{\bar 1}1$]H	3^–[$1{\bar 1}1$], 4⁺[010], 2[101], 3⁺[111], 3^–[$\bar 1\bar 11$], 3^–[$\bar 1\bar 11$], m[$\bar 1 01$], $\bar 4$^–[010]
3	V[010]	2[011]H	2[011], 3^–[111], 3⁺[$\bar 111$], 4^–[100], m[$0{\bar 1}1$], $\bar 4$⁺[100], 3⁺[$1{\bar 1}1$], 3^–[$\bar1{\bar 1}1$]
4	V[$\bar 100$]	2[${\bar 1}01$]H	2[${\bar 1}01$], 3^–[${\bar 1}11$], 3⁺[${\bar 1}{\bar 1}1$], 4^–[010], $\bar 4$⁺[010], m[101], 3^–[$1{\bar 1}1$], 3⁺[111]
5	V[$0{\bar 1}0$]	3⁺[$1{\bar 1}1$]H	3⁺[$1{\bar 1}1$], 2[$0{\bar 1}1$], 4⁺[100], 3^–[${\bar 1}{\bar 1}1$], 3^–[111], 3⁺[$\bar 1 11$], m[011]
6	V[$00\bar 1$]	2[110]H	2[110], 2[100], 2[010], 2[$\bar 1 10$], 4⁺[001], 4^–[001], $\bar 1$, m[001]

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[2]	Tagantsev A K, Cross L E, Fousek J 2010 Domains in Ferroic Crystals and Thin Films (Springer: New York Dordrecht Heidelberg London) pp11–100
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