论文标题
建模大面积发射器的混合方法
A hybrid approach to modelling large area field emitters
论文作者
论文摘要
大面积电子发射器通常由数千种纳米托管组成，构成了一个重大挑战，因为数值建模需要巨大的计算资源。我们提出了一种混合方法，其中通过最新的分析进步纳入了单个发射极的局部静电场增强参数，而静电屏蔽和阳极 - 抗性效应是在数值上确定的。杂种模型在数值上测试了发射器的有序排列，然后应用于随机分布的金纳米酮的最新实验结果。使用具有截然不同的发射极密度但具有相似纳米尺寸的两个样品的电流 - 电压数据，我们表明，发射器 - APEX的适当建模以及有关屏蔽和阳极 - 脱氧效应的分析结果，从而导致曲率顶端的顶端结果一致的结果。在这两种情况下，$ \ text {i-v} $数据均以$ r_a \ simeq 9 $ nm的速度复制。重要的是，发现阳极 - 阳性性在反平衡静电屏蔽中起着重要作用，而忽略了这种效果会导致$ r_a $的值要小得多。
Large area field electron emitters, typically consisting of several thousands of nanotips, pose a major challenge since numerical modeling requires enormous computational resources. We propose a hybrid approach where the local electrostatic field enhancement parameters of an individual emitter is determined numerically while electrostatic shielding and anode-proximity effects are incorporated using recent analytical advances. The hybrid model is tested numerically on an ordered arrangement of emitters and then applied to recent experimental results on randomly distributed gold nanocones. Using the current-voltage data of two samples with vastly different emitter densities but having similar nanocone sizes, we show that an appropriate modeling of the emitter-apex together with the analytical results on shielding and anode-proximity effects, leads to consistent results for the apex radius of curvature. In both cases, the $\text{I-V}$ data is approximately reproduced for $R_a \simeq 9$nm. Importantly, it is found that anode-proximity plays a significant role in counter-balancing electrostatic shielding and ignoring this effect results in the requirement of a much smaller value of $R_a$.
