Koh W S, Ang L K
Institute of High Performance Computing, 117528, Singapore.
Nanotechnology. 2008 Jun 11;19(23):235402. doi: 10.1088/0957-4484/19/23/235402. Epub 2008 May 6.
This paper presents a modified Thomas-Fermi-approximated quantum model for space-charge-limited field emission in a nanogap with metal electrodes, where the image-charge potential (including anode screening), direct tunnelling, space-charge effects and exchange-correlation effects of the tunnelling current are treated in a one-dimensional quantum model. It is found that the traditional Fowler-Nordheim (FN) law (even with the classical model of anode screening) is no longer valid in a nanogap of less than 10 nm. The smooth transition of our proposed model to the traditional FN law extended to large gap spacing is demonstrated. Application of the model to estimate the emission area of an experimental I-V curve in a nanogap is discussed.
本文提出了一种用于具有金属电极的纳米间隙中空间电荷限制场发射的修正托马斯 - 费米近似量子模型，其中在一维量子模型中处理了镜像电荷势（包括阳极屏蔽）、直接隧穿、空间电荷效应和隧穿电流的交换关联效应。研究发现，传统的福勒 - 诺德海姆（FN）定律（即使采用经典的阳极屏蔽模型）在小于10纳米的纳米间隙中不再有效。证明了我们提出的模型向扩展到较大间隙间距的传统FN定律的平滑过渡。讨论了该模型在估计纳米间隙中实验I - V曲线发射面积方面的应用。
