Layer-Dependent Energy of Two Parallel Charged Nano-Layers
Layer-Dependent Energy of Two Parallel Charged Nano-Layers
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DOI：
10.1166/jnn.2016.12654
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发表时间：
2016-09-01
影响因子：
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通讯作者：
Ciftja, Orion
中科院分区：
文献类型：
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作者：
Ciftja, Orion
我们考虑一个双层纳米系统，由两个平行的带电纳米层组成。这种系统代表了通过交替沉积薄金属-绝缘体-金属层形成的多层纳米结构的典型构建块。我们精确地计算在封闭形式的两个平行的带电纳米层之间的静电相互作用能，其中每一个被建模为一个有限的二维正方形系统与恒定的表面电荷密度。我们应用合适的数学变换，使我们能够推导出纳米层之间的相互作用能作为大小和层间分离距离的函数的精确表达式。我们还推导出一个近似表达式的相互作用能量线性化相对于层间分离，工作良好的小层间分离。我们表明，这种配置的纳米层的相互作用能取决于层间的分离距离相对于结构的特征长度的比率。
We consider a bilayer nanosystem consisting of two parallel charged nano-layers. Such a system represents the typical building block of a multi-layered nanostructure formed by alternatively depositing thin metal-insulator-metal layers. We calculate exactly in closed form the electrostatic interaction energy between two parallel charged nano-layers where each of them is modeled as a finite two-dimensional square-shaped system with constant surface charge density. We apply suitable mathematical transformations that allow us to derive an exact expression for the interaction energy between nano-layers as a function of both size and inter-layer separation distance. We also derive an approximate expression for the interaction energy linearized with respect to the inter-layer separation that works well for small inter-layer separation. We show that the interaction energy of this configuration of nano-layers depends on the ratio of the inter-layer separation distance relative to the characteristic length of the structure.