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J. Semicond. > 2008, Volume 29?>?Issue 2?> 201-205

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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

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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 Schrdinger 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.

Key words: transmission coefficient, tunneling probability, Runge-Kutta method

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    Received: 18 August 2015 Revised: 08 October 2007 Online: Published: 01 February 2008

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      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. ****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.
      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. ****
      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.

      A Numerical Method for Calculating Transmission Coefficients Across Arbitrary Potential Barriers with High Accuracy

      • State Key Laboratory of Integrated Optoelectronics, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China

      • State Key Laboratory of Integrated Optoelectronics, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China

      • State Key Laboratory of Integrated Optoelectronics, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China

      • State Key Laboratory of Integrated Optoelectronics, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China

      • State Key Laboratory of Integrated Optoelectronics, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China

      • State Key Laboratory of Integrated Optoelectronics, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China

      • Received Date: 2015-08-18
      • Accepted Date: 2007-09-04
      • Revised Date: 2007-10-08
      • Published Date: 2008-01-31

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