-
A modified Landau-Devonshire thermodynamic model is presented, with the contributions of substrate stress, domain wall motion and domain structure transition taken into account. The hysteresis loops of PbZr0.4Ti0.6O3(PZT) films, which are deposited on different substrates, containing nano-scale grain is calculated, and the thickness and grain size dependences of coercive field, remnant polarization and relative permittivity are researched. The results demonstrate that the grain size is dependent on coercive field and relative permittivity as shown in paraboliclike curve, that the pressure stress of substrate enhances the coercive field and remnant polarization, but reduces the relative permittivity, and that the coercive field increases slowly first with the thickness of film, then increases sharply between 200 nm and 310 nm of the thickness, and slowly again after 310 nm. This result is due to the thickness dependence of relative permittivity.
-
Keywords:
- ferroelectric /
- grain size /
- substrate stress /
- thickness
[1] Chang C Y, Juan T P, Lee J Y 2006 Appl. Phys. Lett. 88 072917
[2] Liu B T, Maki K, Agganval S, Naganraj B, Nagarajan V, Salamanca-Riba L, Ramesh R, Dhote A M, Auciello O 2002 Appl. Phys. Lett. 80 3599
[3] Zheng F G, Chen J P, Li X W 2006 Acta Phys. Sin. 55 3067 (in Chinese) [郑分刚、陈建平、李新碗 2006 55 3067]
[4] Zeng H R, Yu H F, Chu R Q, Li G R, Yin Q R, Tang X G 2005 Acta Phys. Sin. 54 1437 (in Chinese) [曾华荣、余寒峰、初瑞清、李国荣、殷庆瑞、唐新桂 2005 54 1437]
[5] Tao Y M, Jiang Q 2004 Chin. Phys. 13 1149
[6] Ai S T 2006 Chin. Phys. 15 1364
[7] Zhong W L, Wang Y G, Zhang P L, Qu B D 1994 Phys. Rev. B 50 698
[8] Wang Y G, Zhong W L, Zhang P L 1994 Phys. Rev. B 53 11439
[9] Ricinschi D, Tura D, Mitoseriu L, Okuyama M 1999 J. Phys.: Condens. Matter 11 1601
[10] Ducharme S, Fridkin V M, Bune A V, Palto S P, Blinov L M, Petukhova N N, Yudin S G 2000 Phys. Rev. Lett. 84 175
[11] Bratkovsky A M, Levanyuk A P 2001 Phys. Rev. Lett. 87 019701
[12] Ducharme S, Fridkin V M 2001 Phys. Rev. Lett. 87 019702
[13] Moreira R L 2002 Phys. Rev. Lett. 88 179701
[14] Ducharme S, Fridkin V M 2002 Phys. Rev. Lett. 88 179702
[15] Fridkin V M, Ducharme S 2001 Phys. Solid State 43 1320
[16] Kim S, Gopalan V, Gruverman A 2002 Appl. Phys. Lett. 80 2740
[17] Dawber M, Chandra P, Littlewood P B, Scott J F 2003 J. Phys.: Condens. Matter 15 L393
[18] Chandra P, Dawber M, Littlewood P B, Scott J F 2004 Ferroelectrics 313 7
[19] Liu J S, Zhang S R, Zheng H Z, Yang C T, Yuan Y 2005 Phys. Rev. B 72 172101
[20] Mattews J W, Blakeslee A E 1974 J. Cryst. Growth 27 118
[21] Alpay S P, Misirlioglu I B, Sharma A, Ban Z G 2004 J. Appl. Phys. 95 8118
[22] Wang Y L, Wei T R, Liu B T, Deng Z C 2007 Acta Phys. Sin. 56 2931 (in Chinese) [王英龙、魏同茹、刘保亭、邓泽超 2007 56 2931]
[23] Kopal A, Bahnik T, Fousek J 1997 Ferroelectrics 202 206
[24] Udayakumar K R, Schuele P J, Chen J, Krupanidhi S B, Cross L E 1995 J. Appl. Phys. 77 3981
-
[1] Chang C Y, Juan T P, Lee J Y 2006 Appl. Phys. Lett. 88 072917
[2] Liu B T, Maki K, Agganval S, Naganraj B, Nagarajan V, Salamanca-Riba L, Ramesh R, Dhote A M, Auciello O 2002 Appl. Phys. Lett. 80 3599
[3] Zheng F G, Chen J P, Li X W 2006 Acta Phys. Sin. 55 3067 (in Chinese) [郑分刚、陈建平、李新碗 2006 55 3067]
[4] Zeng H R, Yu H F, Chu R Q, Li G R, Yin Q R, Tang X G 2005 Acta Phys. Sin. 54 1437 (in Chinese) [曾华荣、余寒峰、初瑞清、李国荣、殷庆瑞、唐新桂 2005 54 1437]
[5] Tao Y M, Jiang Q 2004 Chin. Phys. 13 1149
[6] Ai S T 2006 Chin. Phys. 15 1364
[7] Zhong W L, Wang Y G, Zhang P L, Qu B D 1994 Phys. Rev. B 50 698
[8] Wang Y G, Zhong W L, Zhang P L 1994 Phys. Rev. B 53 11439
[9] Ricinschi D, Tura D, Mitoseriu L, Okuyama M 1999 J. Phys.: Condens. Matter 11 1601
[10] Ducharme S, Fridkin V M, Bune A V, Palto S P, Blinov L M, Petukhova N N, Yudin S G 2000 Phys. Rev. Lett. 84 175
[11] Bratkovsky A M, Levanyuk A P 2001 Phys. Rev. Lett. 87 019701
[12] Ducharme S, Fridkin V M 2001 Phys. Rev. Lett. 87 019702
[13] Moreira R L 2002 Phys. Rev. Lett. 88 179701
[14] Ducharme S, Fridkin V M 2002 Phys. Rev. Lett. 88 179702
[15] Fridkin V M, Ducharme S 2001 Phys. Solid State 43 1320
[16] Kim S, Gopalan V, Gruverman A 2002 Appl. Phys. Lett. 80 2740
[17] Dawber M, Chandra P, Littlewood P B, Scott J F 2003 J. Phys.: Condens. Matter 15 L393
[18] Chandra P, Dawber M, Littlewood P B, Scott J F 2004 Ferroelectrics 313 7
[19] Liu J S, Zhang S R, Zheng H Z, Yang C T, Yuan Y 2005 Phys. Rev. B 72 172101
[20] Mattews J W, Blakeslee A E 1974 J. Cryst. Growth 27 118
[21] Alpay S P, Misirlioglu I B, Sharma A, Ban Z G 2004 J. Appl. Phys. 95 8118
[22] Wang Y L, Wei T R, Liu B T, Deng Z C 2007 Acta Phys. Sin. 56 2931 (in Chinese) [王英龙、魏同茹、刘保亭、邓泽超 2007 56 2931]
[23] Kopal A, Bahnik T, Fousek J 1997 Ferroelectrics 202 206
[24] Udayakumar K R, Schuele P J, Chen J, Krupanidhi S B, Cross L E 1995 J. Appl. Phys. 77 3981
-
[1] 刘雨, 田强, 王新艳, 关雪飞. 基于单向测量超声背散射系数的晶粒尺寸评价高效方法. , 2024, 73(7): 074301. doi: 10.7498/aps.73.20231959 [2] 张凤国, 赵福祺, 刘军, 何安民, 王裴. 延性金属层裂强度对温度、晶粒尺寸和加载应变率的依赖特性及其物理建模. , 2022, 71(3): 034601. doi: 10.7498/aps.71.20210702 [3] 李秀华, 张敏, 杨佳, 邢爽, 高悦, 李亚泽, 李思雨, 王崇杰. 薄膜厚度对射频磁控溅射 ${\boldsymbol{\beta}}$ -Ga2O3薄膜光电性能的影响. , 2022, 71(4): 048501. doi: 10.7498/aps.71.20211744[4] 张凤国. 延性金属层裂强度对温度、晶粒尺寸和加载应变率的依赖特性及其物理建模. , 2021, (): . doi: 10.7498/aps.70.20210702 [5] 李秀华, 张敏. 薄膜厚度对射频磁控溅射β-Ga2O3薄膜光电性能的影响*. , 2021, (): . doi: 10.7498/aps.70.20211744 [6] 李珊, 李雄兵, 宋永锋, 陈超. 考虑晶粒分布的多晶体材料超声散射统一理论. , 2018, 67(23): 234301. doi: 10.7498/aps.67.20181751 [7] 蔡田怡, 雎胜. 铁电体的光伏效应. , 2018, 67(15): 157801. doi: 10.7498/aps.67.20180979 [8] 王鹏, 徐建刚, 张云光, 宋海洋. 晶粒尺寸对纳米多晶铁变形机制影响的模拟研究. , 2016, 65(23): 236201. doi: 10.7498/aps.65.236201 [9] 刘英光, 张士兵, 韩中合, 赵豫晋. 纳晶铜晶粒尺寸对热导率的影响. , 2016, 65(10): 104401. doi: 10.7498/aps.65.104401 [10] 刘永广, 康爱国, 张少飞, 侯志文, 刘文斌. 钛酸钡纳米颗粒铁电性临界尺寸的理论分析. , 2015, 64(17): 177702. doi: 10.7498/aps.64.177702 [11] 杨卫明, 刘海顺, 敦超超, 赵玉成, 窦林名. Fe基纳米晶合金晶粒尺寸反常变化的物理机制. , 2012, 61(10): 106802. doi: 10.7498/aps.61.106802 [12] 岂云开, 顾建军, 刘力虎, 张海峰, 徐芹, 孙会元. Al掺杂ZnO薄膜的厚度对其结构及磁学性能的影响. , 2011, 60(6): 067502. doi: 10.7498/aps.60.067502 [13] 毛朝梁, 董显林, 王根水, 姚春华, 曹菲, 曹盛, 杨丽慧, 王永令. 晶粒尺寸对Ba0.70Sr0.30TiO3陶瓷介电性能的影响规律及机理研究. , 2009, 58(8): 5784-5789. doi: 10.7498/aps.58.5784 [14] 周波, 陈云琳, 刘刚, 詹鹤. 铁电体中新畴成核经典模型的改进. , 2009, 58(4): 2762-2767. doi: 10.7498/aps.58.2762 [15] 王浩, 刘国权, 栾军华, 岳景朝, 秦湘阁. 晶粒棱长、尺寸与拓扑学特征之间关系的Monte Carlo仿真研究. , 2009, 58(13): 132-S136. doi: 10.7498/aps.58.132 [16] 余柏林, 祁 琼, 唐新峰, 张清杰. 晶粒尺寸对CoSb3化合物热电性能的影响. , 2005, 54(12): 5763-5768. doi: 10.7498/aps.54.5763 [17] 马丙现, 姚 宁, 贾 瑜, 杨仕娥, 鲁占灵, 樊志琴, 张兵临. 金刚石薄膜的结构特征对薄膜附着性能的影响. , 2005, 54(6): 2853-2858. doi: 10.7498/aps.54.2853 [18] 李眉娟, 胡海云, 邢修三. 多晶体金属疲劳寿命随晶粒尺寸变化的理论研究. , 2003, 52(8): 2092-2095. doi: 10.7498/aps.52.2092 [19] 王渊旭, 钟维烈, 王春雷, 张沛霖. 四方铁电体PbFe0.5Nb0.5O3精细结构的第一性原理研究. , 2002, 51(1): 171-173. doi: 10.7498/aps.51.171 [20] 张国勇, 张鹏翔. 测量高温超导YBCO薄膜厚度的一种新方法. , 2001, 50(8): 1451-1455. doi: 10.7498/aps.50.1451
计量
- 文章访问数: 8473
- PDF下载量: 709
- 被引次数: 0
下载:
