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首页> 外文期刊>Journal of Computational Physics >A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs
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A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs

机译:纳米MOSFET中混合量子经典传输模型的确定性求解器

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摘要

We model a nanoMOSFET by a mesoscopic, time-dependent, coupled quantum-classical system based on a sub-band decomposition and a simple scattering operator. We first compute the sub-band decomposition and electrostatic force field described by a Schr?dinger-Poisson coupled system solved by a Newton-Raphson iteration using the eigenvalue/eigenfunction decomposition. The transport in the classical direction for each sub-band modeled by semiclassical Boltzmann-type equations is solved by conservative semi-lagrangian characteristic-based methods. Numerical results are shown for both the thermodynamical equilibrium and time-dependent simulations in typical nowadays nanoMOSFETs.
机译:我们通过基于子带分解和简单散射算子的介观,时间相关,耦合量子经典系统对nanoMOSFET进行建模。我们首先通过特征值/特征函数分解计算由Schr?dinger-Poisson耦合系统描述的子带分解和静电力场,该系统通过Newton-Raphson迭代求解。通过保守的基于半拉格朗日特征的方法,可以解决由半经典Boltzmann型方程建模的每个子带在经典方向上的传输。数值结果显示了当今典型的纳米MOSFET的热力学平衡和随时间变化的仿真结果。

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