| Citation: |
Ding Wuchang, Xu Xuejun, Cheng Buwen, Zuo Yuhua, Yu Jinzhong, Wang Qiming. A Numerical Method for Calculating Transmission Coefficients Across Arbitrary Potential Barriers with High Accuracy[J]. Journal of Semiconductors, 2008, 29(2): 201-205.
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Ding W C, Xu X J, Cheng B W, Zuo Y H, Yu J Z, Wang Q M. A Numerical Method for Calculating Transmission Coefficients Across Arbitrary Potential Barriers with High Accuracy[J]. J. Semicond., 2008, 29(2): 201.
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A Numerical Method for Calculating Transmission Coefficients Across Arbitrary Potential Barriers with High Accuracy
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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 Schrdinger 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. -
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