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An interpolated flux scheme for cellular automaton device simulation

机译:用于细胞自动机设备仿真的插值通量方案

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Cellular automaton (CA)-based device simulation is one of the most powerful tool to solve Boltzmann transport equation (BTE) of carriers in semiconductor devices. In comparison to the Monte Carlo (MC) method which suffers statistical noise problems, cell representation used in the CA method realizes noise free analysis of the carrier distribution function (DF) both in real and momentum space. However, CA requires more computer resources than MC in typical cases because cell sizes used for both real and momentum space are restricted to be small enough not to cause artificial diffusion (ADF). In this paper, a new scheme for calculation of flux among cells is proposed in which carrier distribution is interpolated between neighbor cells. The suppression of ADF is confirmed through comparisons to other simulation methods in homogeneous cases, an n/sup +/-p diode case and an n/sup +/-n-n/sup +/ structure case. Consistency with MC analysis is also demonstrated by analyzes of homogeneous cases and an n/sup +/-n-n/sup +/ case and also by a theoretical study. A speed up of at least two orders of magnitude can be obtained by introducing the new flux calculation whose accuracy is ensured with much less number of cells than conventional CA methods. Consequently, this CA method is drastically improved as a practical tool for semiconductor device modeling from the point of CPU time and accuracy.
机译:基于元胞自动机(CA)的器件仿真是解决半导体器件中载流子的玻尔兹曼输运方程(BTE)的最强大工具之一。与遭受统计噪声问题的蒙特卡洛(MC)方法相比,CA方法中使用的像元表示实现了对实空间和动量空间中载流子分布函数(DF)的无噪声分析。但是,在典型情况下,CA比MC需要更多的计算机资源,因为用于实数空间和动量空间的像元大小被限制为足够小,以免引起人工扩散(ADF)。在本文中,提出了一种计算单元间通量的新方案,其中在相邻单元之间插入了载波分布。通过与同类情况,n / sup +/- p二极管情况和n / sup +/- n-n / sup + /结构情况下的其他仿真方法进行比较,可以确定ADF的抑制作用。 MC分析的一致性还通过对同类案例和n / sup +/- n-n / sup + /案例的分析以及理论研究得到证明。通过引入新的通量计算,可以提高至少两个数量级的速度,该通量计算可确保比常规CA方法用更少的像元数来保证精度。因此,从CPU时间和准确性的角度来看,此CA方法已大大改进,成为半导体器件建模的实用工具。

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