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运用基于密度泛函理论的第一性原理方法计算了不同原子百分比含量的Ba掺杂ZnO半导体体材料超晶胞的能带结构、电子态密度、极化率和相对介电值.计算结果表明：Ba掺杂的ZnO体系为直接带隙半导体材料，其禁带宽度随着Ba原子掺杂百分比的增加呈现出逐渐增大的趋势.体系铁电性能的计算表明：与纯ZnO相比，ZnO掺入Ba原子后的极化率与相对介电值发生了较为明显的变化，其极化率随着Ba原子掺杂百分比的增加而增大，相对介电值随着Ba原子掺杂百分比的增加而减小.对角化后的极化率分量的数值结果表明：在电场作用下超胞中可能存在微畴结构，并且由于畴间电偶极矩的强相互作用，使得超胞宏观上表现为几乎具有各向同性的极化率特征.Wurtzite ZnO has long been considered to be a promising candidate material for photovoltaic application due to its high power conversion efficiency. More interestingly and very recently, some research results suggested that the ferroelectric property of the photovoltaic material introduced by chemical elements doping can promote its power conversion efficiency significantly. Therefore, in order to understand the effect of Ba doping on the electronic structure and the ferroelectric properties of ZnO and to reveal the potentially optoelectronic properties of Zn1-xBaxO, the energy band structure, the density of states, and the polarizability and the relative dielectric constant of the bulk Ba-doped ZnO supercell system, in which the Zn atoms are partly and uniformly substituted by the Ba atoms, are investigated by using the first-principles method based on the density functional theory and other physical theory. The norm-conserving pseudopotentials and the plane-wave basis set with a cut-off energy of 600 eV are used in the calculation. The generalized gradient approximation refined by Perdew and Zunger (GGA-PBE), the local density approximation (LDA) and the local density approximation added Hubbard energy (LDA+U) are employed for determining the exchange-correlation energy respectively. Brillouin zone is set to be within 4×4×5K point mesh generated by the Monkhorst-Pack scheme. The self-consistent convergence of total energy is at 2.0×10-6 eV/atom. Additionally, in order to obtain a stable and accurate calculation result, the cell structure is optimized prior to calculation. The calculated results suggest that the bulk Ba-doped ZnO semiconductor system is still a semiconductor with a direct wide band gap. The band gap of Zn1-xBaxO increases gradually with Ba atom doping percentage increasing from 12.5% to 87.5%. Consequently, the ferroelectric polarization properties and the dielectric properties of the bulk Ba-doped wurtzite ZnO materials are tailored by doping Ba atoms. It indicates that the polarizability of Zn1-xBaxO system increases with Ba doping atomic percentage increasing, especially, the polarizability reaches to a maximum when the atomic percentage of doping is 75%. Meanwhile, the relative dielectric constant inversely decreases with Ba atomic percentage increasing. This is attributed to the effective contribution of Ba atoms to the density of state at the bottom of the valence band. The diagonalized components of polarizability imply that there are possible micro-domains in the supercell while applying externally electric field to it. And the supercell presents a nearly isotropic polarizability macroscopically due to the strong interaction among the electric dipole moments existing in the different domains.
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Keywords:
- ZnO /
- electronic structure /
- ferroelectric properties /
- first-principles calculations
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[1] Kim K J, Park Y R 2001 Appl. Phys. Lett. 78 475
[2] Bagnall D M, Chen Y F, Zhu Z, Yao T, Koyama S, Shen M Y, Goto T 1997 Appl. Phys. Lett. 70 2230
[3] Aoki T, Hatanaka Y, Look D C 2000 Appl. Phys. Lett. 76 3257
[4] Shen W F, Zhao Y, Zhang C B 2005 Thin Solid Films 483 382
[5] Yamamoto N, Makino H, Osone S, Ujihara A, Ito T, Hokari T, Maruyama T, Yamamoto T 2012 Thin Solid Films 520 4131
[6] Hu Q C, Ding K 2017 Chin. Phys. B 26 068104
[7] Que M L, Wang X D, Peng Y Y, Pan C F 2017 Chin. Phys. B 26 067301
[8] Lu Y J, Shi Z F, Shan C X, Shen D Z 2017 Chin. Phys. B 26 047703
[9] Gao H X, Hu R, Yang Y T 2012 Chin. Phy. Lett. 29 017305
[10] Chen R Q, Zou C W, Bian J M, Adarsh S, Gao W 2011 Nanotechnology 22 105706
[11] Lin Y H, Ying M, Li M, Wang X, Nan C W 2007 Appl. Phys. Lett. 22 197203
[12] Ueda K, Tabata H, Kawai T 2001 Appl. Phys. Lett. 79 988
[13] Joseph M, Tabata H, Kawai T 1999 Appl. Phys. Lett. 74 1617
[14] Onodera A, Tamaki A, Kawamura Y, Sawada T, Yamashita1 H 1996 J. Appl. Phys. 35 5160
[15] Dhananjay, Nagaraju J, Krupanidhi S B 2006 J. Appl. Phys. 99 034105
[16] Yang Y C, Song C, Wang X H, Zeng F, Pan F, Xu N N, Li G P, Lin Q L, Liu H, Bao L M 2008 Appl. Phys. Lett. 92 10715
[17] Dang H L, Wang C Y, Yu T 2007 Acta Phys. Sin. 56 2838 (in Chinese)[党宏丽, 王崇愚, 于涛 2007 物理学报 56 2838]
[18] Chen Z P, Ma Y N, Lin X L, Pan F C, Xi L Y, Ma Z, Zheng F, Wang Y Q, Chen H M 2017 Acta Phys. Sin. 66 196101 (in Chinese)[陈治鹏, 马亚楠, 林雪玲, 潘凤春, 席丽莹, 马治, 郑富, 汪燕青, 陈焕铭 2017 物理学报 66 196101]
[19] Chang Y T, Sun Q L, Long Y, Wang M W 2014 Chin. Phys. Lett. 31 127501
[20] Xu N N, Li G P, Lin Q L, Liu H, Bao L M 2016 Chin. Phys. B 25 116103
[21] Wang Y P, Wang Y P, Shi L B 2015 Chin. Phys. Lett. 32 016102
[22] Guan L, Tan F X, Jia G Q, Shen G M, Liu B T, Li X 2016 Chin. Phys. Lett. 33 087501
[23] Wang H Y, Hu Q K, Yang W P, Li X S 2016 Acta Phys. Sin. 65 077101 (in Chinese)[王海燕, 胡前库, 杨文明, 李旭升 2016 物理学报 65 077101]
[24] Gopal P, Spaldin N A 2006 J. Electron. Mater. 35 538
[25] Wang X H, Zhang J, Zhu Z, Zhu J Z 2006 Colloids Surf. A 276 59
[26] Zhao J, Yang X Q, Yang Y, Huang Y H, Zhang Y 2010 Mater. Lett. 64 569
[27] He X H, Yang H, Chen Z W, Liao S S Y 2012 Physica B 407 2895
[28] Perdew J P, Chevary J A, Vosko S H, Jackson K A, Pederson M R, Singh D J 1992 Phys. Rev. B 46 6671
[29] Cao D, Liu B, Yu H L, Hu W Y, Cai M Q 2013 Eur. Phys. J. B 86 504
[30] Perdew J P, Burke K, Ernzerhof M 1996 Phys. Rev. Lett. 77 3865
[31] Cao D, Liu B, Yu H L, Hu W Y, Cai M Q 2015 Eur. Phys. J. B 86 75
[32] Wu L J, Zhao Y Q, Chen C W, Wang L Z, Liu B, Cai M Q 2016 Chin. Phys. B 25 107202
[33] Liu B, Wu L J, Zhao Y Q, Wang L Z, Cai M Q 2016 J. Magn. Magn. Mater. 420 218
[34] Delley B 2000 J. Chem. Phys. 113 7756
[35] Delley B 1990 J. Chem. Phys. 92 508
[36] Desgreniers S 1998 Phys. Rev. B 58 14102
[37] Clark S J, Segall M D, Pickard C J, Hasnip P J, Probert M I, Refeson K 2005 Z. Kristallogr. B 220 567
[38] Erhart P, Albe K, Klein A 2006 Phys. Rev. B 73 205203
[39] Wimmer E, Krakauer H, Weinert M, Freeman A 2006 Phys. Rev. B 24 864
[40] Wu Y X, Zhang H, Han L 1996 J. Atom. Mole. Phys. 28 749
[41] Osunch K, Lombardi E B, Gebiki W 2006 Phys. Rev. 73 075202
[42] Srinet G, Kumar R, Sajal V 2014 Mater Lett 126 274
[43] Frost J M, Butler K T, Brivio F, Hendon C H, Schilfgaarde M V, Walsh A 2014 Nano Lett. 14 2584
[44] Fan Z, Xiao J X, Sun K, Chen L, Hu Y T, Ouyang J Y, Ong K P, Zeng K Y, Wang J 2015 J. Phys. Chem. Lett. 6 1155
[45] Zhao Y Q, Liu B, Yu Z L, Ma J M, Wan Q, He P B, Cai M Q 2017 J. Mater. Chem. C 5 5356
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