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A modified simplified coherent potential approximation model of band gap energy of III–V ternary alloys

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Abstract

Based on the modification of the simplified coherent potential approximation (SCPA), a model is developed to calculate the composition dependence of the band gap energy of III-V ternary alloys with the same anion. The derived equation is used to fit the experimental band gap energy of In x Al1−x N, In x Ga1−x N and Al x Ga1−x N with x from 0 to 1. It is found that the fitting results are better than those done by using SCPA. The fitting results are also better than those obtained by using the formula with a small bowing coefficient, especially for In x Al1−x N. In addition, our model can also be used to describe the composition dependence of band gap energy of other III-V ternary alloys.

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Authors and Affiliations

  1. Jiangsu Provincial Key Laboratory of Advanced Photonic and Electronic Materials, School of Electronic Science and Engineering, Nanjing University, Nanjing, 210093, China

    ChuanZhen Zhao, Rong Zhang, Bin Liu, DeYi Fu, Ming Li, XiangQian Xiu, ZiLi Xie & YouDou Zheng

  2. School of Electronics and Information Engineering, Tianjin Polytechnics University, Tianjin, 300160, China

    ChuanZhen Zhao

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  1. ChuanZhen Zhao
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  2. Rong Zhang
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  3. Bin Liu
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  5. Ming Li
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  7. ZiLi Xie
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  8. YouDou Zheng
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Correspondence to Rong Zhang.

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Zhao, C., Zhang, R., Liu, B. et al. A modified simplified coherent potential approximation model of band gap energy of III–V ternary alloys. Sci. China Phys. Mech. Astron. 55, 400–403 (2012). https://doi.org/10.1007/s11433-012-4636-6

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  • DOI: https://doi.org/10.1007/s11433-012-4636-6

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