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首页> 外文期刊>Journal of Computational Physics >Self-sustained current oscillations in the kinetic theory of semiconductor superlattices
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Self-sustained current oscillations in the kinetic theory of semiconductor superlattices

机译：半导体超晶格动力学理论中的自持电流振荡

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摘要

We present the first numerical solutions of a kinetic theory description of self-sustained current oscillations in n-doped semiconductor superlattices. The governing equation is a single-miniband Boltzmann-Poisson transport equation with a BGK (Bhatnagar-Gross-Krook) collision term. Appropriate boundary conditions for the distribution function describe electron injection in the contact regions. These conditions seamlessly become Ohm's law at the injecting contact and the zero charge boundary condition at the receiving contact when integrated over the wave vector. The time-dependent model is numerically solved for the distribution function by using the deterministic Weighted Particle Method. Numerical simulations are used to ascertain the convergence of the method. The numerical results confirm the validity of the Chapman-Enskog perturbation method used previously to derive generalized drift-diffusion equations for high electric fields because they agree very well with numerical solutions thereof.
机译：我们提出了n掺杂半导体超晶格中自持电流振荡的动力学理论描述的第一个数值解。控制方程是具有BGK（Bhatnagar-Gross-Krook）碰撞项的单微带玻尔兹曼-泊松输运方程。分布函数的适当边界条件描述了在接触区域中的电子注入。当在波矢上积分时，这些条件无缝地变成注入触点处的欧姆定律和接收触点处的零电荷边界条件。通过使用确定性加权粒子法，数值求解时间相关模型的分布函数。数值模拟用于确定方法的收敛性。数值结果证实了先前用来推导高电场的广义漂移扩散方程的Chapman-Enskog摄动方法的有效性，因为它们与数值解非常吻合。

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