学术
摘 要:
基于龙格-库塔算法求解薛定谔方程,并对获得的数值结果进行分析得出精确的量子隧穿几率.通过适当的处理,该方法适用于任意势垒的情形.利用该方法计算了多种结构的隧穿几率,如抛物线型势垒及双势垒,获得了高精度的隧穿几率.同时计算了MOS结构的隧穿电流密度,结果与Fowler-Nordheim隧穿完全吻合,表明了该方法的适用性.[著者文摘]
文章出处:
《半导体学报》-2008年29卷2期 -201-205页
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
0253-4177（2008）02-0201-05
A Numerical Method for Calculating Transmission Coefficients Across Arbitrary Potential Barriers with High Accuracy
Ding Wuchang, Xu Xuejun, Cheng Buwen, Zuo Yuhua, Yu Jinzhong, and Wang Qiming （State Key Laboratory of Integrated Optoelectronics, Institute of Semiconductors Chinese Academy of Sciences, Beijing 100083, China）
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 Schrodinger 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.[著者文摘]
Key words:
transmission coefficient; tunneling probability; Runge-Kutta method
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