Cellular automata for device simulation-concepts and applications

G. Zandler, M. Saraniti, A. Rein, P. Vogl
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Abstract

We present a discussion of various concepts of cellular automata for semiconductor transport in the context of device simulation. A newly developed transformation for the kinetic terms of the Boltzmann equation into deterministic transition rules are found to be superior to probabilistic rules, allowing a complete suppression of statistical errors without any loss in numerical performance. To take advantage of the high speed of the resulting Cellular Automaton, a fast and flexible multigrid-solver for the Poisson equation has been developed. This enables us to study also fluctuations of transport quantities, which determine the high frequency noise behavior of MOSFETs, within the Cellular Automata approach. The reliability of the new CA approach for nanostructured devices is demonstrated by a study of gate length influence onto the drain current characteristics of a novel vertically grown MOSFET.
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设备模拟的元胞自动机。概念和应用
我们提出了各种概念的元胞自动机的半导体输运在器件模拟的背景下的讨论。新开发的一种将玻尔兹曼方程的动力学项转换为确定性转换规则的方法优于概率规则,可以完全抑制统计误差而不损失数值性能。为了利用所得到的元胞自动机的高速度,开发了一种快速灵活的泊松方程多网格求解器。这使我们能够在元胞自动机方法中研究输运量的波动,这决定了mosfet的高频噪声行为。通过研究栅极长度对新型垂直生长MOSFET漏极电流特性的影响,证明了新CA方法用于纳米结构器件的可靠性。
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