%0 Journal Article %T A Numerical Method for Calculating Transmission Coefficients Across Arbitrary Potential Barriers with High Accuracy
任意势垒隧穿几率的一种高精度数值算法 %A Ding Wuchang %A Xu Xuejun %A Cheng Buwen %A Zuo Yuhu %A Yu Jinzhong %A Wang Qiming %A
丁武昌 %A 徐学俊 %A 成步文 %A 左玉华 %A 余金中 %A 王启明 %J 半导体学报 %D 2008 %I %X 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. %K transmission coefficient %K tunneling probability %K Runge-Kutta method
隧穿系数 %K 隧穿几率 %K 龙格-库塔法 %K transmission %K coefficient %K tunneling %K probability %K Runge-Kutta %K method %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=025C8057C4D37C4BA0041DC7DE7C758F&aid=E9145896562D4D9F63AAB6B9182E6D0C&yid=67289AFF6305E306&vid=771469D9D58C34FF&iid=0B39A22176CE99FB&sid=BC084ACE66B62CC8&eid=EF27C460877D3C9F&journal_id=1674-4926&journal_name=半导体学报&referenced_num=0&reference_num=10