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矩形截面ZnO纳米线弯曲时的力-电-载流子耦合作用分析
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摘要
本文研究了矩形截面Zn O纳米线的横向弯曲问题,分析了弯曲过程中纳米线的力-电-载流子耦合作用。我们首先从基本方程出发,由本构关系、高斯定理、平衡方程推导出了纳米线内各阶压电势、载流子浓度、电场强度等物理量的表达式。然后通过数值计算分析了各物理量的分布规律。我们发现,横向弯曲的纳米线受拉一侧呈现为正电势,受压一侧为负电势。最后,文章分析了材料的掺杂浓度的影响,结果显示:掺杂浓度增加,纳米线横截面上下侧之间的压电势差减小,中性层处电位移幅值增加。
In this paper, the electric-mechanical-charge carrier coupling in a rectangular cross-section ZnO nanowire under bend deformations was studied. Those physical quantities such as the piezoelectric potential, carrier concentration and electric field intensity in the nanowire are derived from the constitutive relations, the Gauss law and the equilibrium equations. Numerical results show the distribution characteristics of a few physical quantities. It is found that the piezoelectric potential presents as positive at the stretched side of the nanowire and as negative at the contracted side. Effect of doping concentration is also discussed, and it is noted that increase in doping concentration will results in reduce in the piezoelectric potential difference between the two sides of the nanowire.
引文
[1]Lu Ming-Pei,Song Jin-Hui.Piezoelectric nanogenerator using p-type Zn O nanowire arrays[J].Nano Letters,2009,9(1):1223-1227.
    [2]Zhang Yan,Liu Ying,Wang Zhong-Lin.Fundamental theory of piezotronics[J].Advanced materials,2011,23(27):3004-3013.
    [3]Wu Wen-zhuo,Pan Cao-feng,Zhang Yan.Piezotronics and piezo-phototronics–From single nanodevices to array of devices and then to integrated functional system[J].Nano Today,2013,8(6):619-642.
    [4]Gao Yifan,Wang Zhong Lin.Electrostatic potential in a bent piezoelectric nanowire.The fundamental theory of nanogenerator and nanopiezotronics[J].Nano Letters,2007,7(8)2499-2505.

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