Solving Boltzmann Transport Equation without Monte-Carlo algorithms - new methods for industrial TCAD applications
Solving Boltzmann Transport Equation without Monte-Carlo algorithms - new methods for industrial TCAD applications
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无需蒙特卡罗算法求解玻尔兹曼输运方程 - 工业 TCAD 应用的新方法
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
C. Jungemann
中科院分区：
文献类型：
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作者：
B. Meinerzhagen;A. Pham;S.;C. Jungemann
漂移-扩散模型仍然是目前工业中最常用的数值器件模型。这一成功的一个重要原因是该模型强大的数值实现，提供了高精度和高收敛可靠性的CPU高效直流、交流、暂态和噪声模拟。另一方面，今天的许多设计应用都有不同的应变、晶体和沟道取向、材料组成和载流子限制。这样的应用当然需要波尔兹曼输运方程的解才能具有预测性。本文将证明，通过避免蒙特卡罗算法的新的离散和求解方法，可以将传统漂移-扩散模型的许多良好的数值特性转化为数值器件模型，其中包括Boltzmann输运方程的解。
The Drift-Diffusion model is still by far the most frequently used numerical device model in industry today. One important reason for this success is the robust numerical implementation of this model providing CPU efficient DC, AC, transient, and noise simulations with high accuracy and high convergence reliability. On the other hand, many of todays design applications vary strain, crystal and channel orientation, material composition, and the carrier confinement. Such applications certainly require the solution of the Boltzmann Transport Equation in order to be predictive. It will be demonstrated in this paper that with new alternative discretization and solution methods avoiding the Monte-Carlo algorithm many of the favorable numerical properties of the traditional Drift-Diffusion model can be transferred to numerical device models that include the solution of the Boltzmann Transport Equation.