摘要
利用Broyden算法,通过自洽求解一维半导体量子线的电子浓度分布和电势分布,和常用的牛顿法以及逐次超松弛(SOR)法相比较,确认了Broyden算法的收敛结果正确,并减少了达到收敛的迭代步数,是对于薛定谔方程和泊松方程组成的非线性方程组系统自洽求解的有力工具.
A Broyden method, which has been used in the device simulation domain, is described and used to self-consistently solve the electron density and electric potential of a 1D semiconductor quantum line. Results are compared to those obtained by the SOR method （Newton method）. The convergence rates of these two methods are also compared. The Broyden method yields an accurate results using fewer iteration steps. Thus the Broyden method can greatly accelerate the process of solving Schroedinger and Poisson nonlinear equation systems.
