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arXiv 0909.3432cond-mat.mes-hallcond-mat.mtrl-sci
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石墨烯的静电学:电荷分布和电容

Electrostatics of Graphene: Charge Distribution and Capacitance

Zhao Wang, Robert W. Scharstein

摘要:

采用原子电荷-偶极相互作用本构模型和拉普拉斯方程的近似解析解,研究了石墨烯中净电荷的分布。我们证明了一个强大的尺寸依赖性的电荷分布在有限尺寸,无限长和多层矩形石墨烯片,分别。我们发现,在石墨烯的几何边缘,电荷密度可以自然地增强高达13倍。当石墨烯的长度或宽度增加时,这种边缘电荷增强效应变得更加显著。发现电荷增强比与层数成线性关系。这些结果可以用来理解新的实验观察到的二维纳米结构中的电子发射,电荷杂质和化学掺杂现象。

英文摘要:

The distribution of net electric charge in graphene is investigated, using both a constitutive atomic charge-dipole interaction model and an approximate analytical solution to Laplace's equation. We demonstrate a strong size dependence of the charge distributions in finite-size, infinitely-long and multi-layered rectangular graphene sheets, respectively. We found that the charge density can be naturally enhanced up to 13 times at graphene's geometry edges. This edge charge enhancement effect becomes more significant when the length or the width of graphene increases. The charge enhancement ratio is found to follow a linear relationship with the number of layers. These results can be used to understand the newly experimentally observed electron emission, charge impurity and chemical doping phenomena in 2-dimension nanostructure.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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