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用费米-狄拉克统计法计算Hg_(1-x)Cd_x Te本征载流子浓度,以前是用玻耳兹曼统计法计算的。用玻耳兹曼统计法计算只限于组分x≥0.20的Hg_(1-x)Cd_xTe,而对于窄带隙组分x<0.20并不适用。我们使用下面两种方法改进现有计算:用组分和温度相关动量矩阵元的平方(这是对Kane的k·p理论的补充)和对除了Kane的理论所固有的那些近似值以外的能带结构不取近似值。我们发现,使用这两种统计法计算x≥0.20的结果都非常一致。我们还把计算结果与Hansen和Schmit的计算结果进行比较,发现在0.15≤x<0.40范围内十分一致。
The Hg_ (1-x) Cd_x Te intrinsic carrier concentration was calculated using Fermi-Dirac statistics, previously calculated using the Boltzmann method. The Boltzmann statistical method is limited to Hg_ (1-x) Cd_xTe with a composition x ≧ 0.20 but not to the narrow bandgap component x <0.20. We use the following two methods to improve the existing calculations: using the squared of component and temperature-dependent momentum matrix elements (this is a complement to Kane’s p-theory) and the energy bands other than those approximations inherent to Kane’s theory Structure does not take an approximation. We found that using these two statistical methods to calculate x ≥ 0.20 results are very consistent. We also compare the calculated results with those calculated by Hansen and Schmit and find that they are very consistent over the range of 0.15≤x <0.40.