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Inclusion of carrier-carrier-scattering into arbitrary-order spherical harmonics expansions of the Boltzmann transport equation

机译:将载流子-载流子散射纳入玻耳兹曼输运方程的任意阶球谐展开中

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摘要

A methodology for handling carrier-carrier-scattering within the arbitrary-order spherical harmonics expansion method for computing deterministic numerical solutions of the Boltzmann transport equation is presented. Comparisons with results from Monte Carlo simulations confirm the accuracy of the proposed method for bulk silicon. Moreover, results for 22nm and 110nm MOSFET devices are presented. A significant elevation of the high-energy-tail of the distribution function is observed in the 22nm case, confirming that the inclusion of carrier-carrier-scattering is required for the investigation of hot-carrier-effects in scaled-down devices.
机译:提出了一种在任意阶次球谐展开方法中处理载子-载子散射的方法,用于计算玻尔兹曼输运方程的确定性数值解。与蒙特卡洛模拟的结果进行的比较证实了所提出的用于体硅的方法的准确性。此外,给出了22nm和110nm MOSFET器件的结果。在22nm的情况下,观察到了分布函数的高能量尾部的显着升高,这证实了在研究按比例缩小的器件中的热载流子效应时需要包含载流子-载流子散射。

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