半导体学报2008，Vol.29Issue(2)：201-205,5.
任意势垒隧穿几率的一种高精度数值算法
A Numerical Method for Calculating Transmission Coefficients Across Arbitrary Potential Barriers with High Accuracy
丁武昌 1徐学俊 1成步文 1左玉华 1余金中 1王启明1
作者信息
- 1. 中国科学院半导体研究所光电集成实验室,北京,100083
- 折叠
摘要
Abstract
We report a new method for calculating transmission coefficients across arbitrary potential barriers based on the Runge-Kutta method. A numerical solution of the Schr6dinger equation is calculated using the Runge-Kutta method, and a new model is established to analyze the numerical results to find the transmission coefficient. This technique is applied to various cases,such as parabolic potential barrier and double-barrier structures. Transmission probability with high precision is obtained and discussed. The tunnelling current density through a MOS structure is also explored and the result coincides with the Fowler-Nordheim model,which indicates the applicability of our method.关键词
隧穿系数/隧穿几率/龙格-库塔法Key words
transmission coefficient/tunneling probability/Runge-Kutta method分类
物理学引用本文复制引用
丁武昌,徐学俊,成步文,左玉华,余金中,王启明..任意势垒隧穿几率的一种高精度数值算法[J].半导体学报,2008,29(2):201-205,5.
