The Effect of Depolarization Field on Ferroelectric and Dielectric Properties of Ba0.5Sr0.5TiO3 Epitaxial Thin Films
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摘要: 基于Ginzburg-Landau-Devonshire唯象理论，定性研究了在有或无退极化场情形下外延Ba0.5Sr0.5TiO3薄膜的铁电和介电性能随厚度的依赖特性。结果表明：与无退极化场相比，退极化场的存在使薄膜极化强度空间分布更均匀，抑制了系统的平均极化强度，降低了相变温度(ΔTc)，但增加了临界厚度(Δhc、Δhm)和调谐率(Δφ)，尤其在电极弱补偿情况下更加显著，厚度为100 nm时薄膜的ΔTc、Δhc、Δhm和Δφ分别约为-57.5 ℃、15 nm、40 nm和20%；外延薄膜的介电性能取决于极化强度对外加电场的响应能力，而非极化本身，这一观点可从完全相反的极化强度和调谐率厚度依赖性趋势充分证明。Abstract: Based on the Ginzburg-Landau-Devonshire phenomenological theory, the thickness-dependent ferroelectric and dielectric properties with and without depolarization field in epitaxial Ba0.5Sr0.5TiO3 films were qualitatively studied. The results show that, compared with non-depolarization field, depolarization field makes the spatial distribution of polarization more uniform and inhibits the average polarization of the system, with the phase transition temperature (ΔTc) reduced but the critical thickness (Δhc, Δhm), and tunability (Δφ) increased, especially in the case of weak electrode compensation. With the 100-nm-thickness thin film, the values of ΔTc、Δhc、Δhm and Δφ are about -57.5 ℃, 15 nm, 40 nm and 20%, respectively. Moreover, the dielectric properties of epitaxial films depend on the ability of polarization to respond to external applied electric field rather than polarization itself, which can be fully proved by the completely opposite trends of thickness-dependent polarization and tunability.
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Keywords:
- ferroelectric thin film /
- depolarization field /
- thickness /
- tunability
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图 2 100 nm厚度薄膜的极化强度分布
Figure 2. The spatial distribution of 100-nm-thickness film polarization
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图 3 不同退极化场条件下薄膜的相变特性
Figure 3. The phase transition characteristics of thin films under different depolarization fields
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图 4 调谐率、零场介电常数随厚度的变化
Figure 4. The change of tunability and zero electric field dielectric constant with thickness
表 1 BST 50/50薄膜计算参数
Table 1 The calculation parameters for BST 50/50 film
参数 结果 T/K 298 Tc/K 235 a1/(C-2·m2·N) 9.1(T-Tc)×105 a11/(C-4·m6·N) 4[796+2.16(T-273)]×106 (S11+S12)/(m2·N-1) 3.29×10-12 Q12/(m4·C-2) -2.75×10-2 D/(V·m5·C-3) 0.9×10-9 
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