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本文提出一种多阱能量表象方法用来分析应变补偿多量子阶的价带结构.这一方法是把应变补偿多量子阶的价带厂点z方向重轻空穴的能量本征函数作为基矢量建立能量表象,把非Г点的重轻空穴的能量本征函数按这些基矢量进行傅里叶级数展开,带入Kohn-LuttingerHamiltonian(KLM)方程中得到相应的能量特征矩阵,进而得到其非Г点的重轻空穴的能量本征值和相应的本征矢.与k·p方法相比,这一方法的优点在于能够有效地分析出阱数和阱间距离对应变补偿多量子阱的能带结构产生的影响,并且所得的能量特征矩阵的阶数要小得多,很容易在微机上进行运算.
In this paper, a multi-well energy representation method is proposed to analyze the valence band structure of strain compensating multiple quantum steps. In this method, the energy eigenfunctions of heavy light holes in the z-direction of the valence band plant at the strain compensation multi-quantum level are used as the basis vectors to build the energy representation, and the energy eigenfunctions of the heavy light holes at non-Г points are grouped according to these bases The Fourier series expansion is carried out into the Kohn-Luttinger Hamiltonian (KLM) equation to obtain the corresponding energy eigenvalues, and then the energy eigenvalues and corresponding eigenvectors of the non-Г-point light-heavy holes are obtained. Compared with the k · p method, this method has the advantage of effectively analyzing the influence of the well number and the well distance on the band structure of the strain compensating multiple quantum well, and the order of the resulting energy feature matrix is small Much easier, it’s easy to do calculations on the PC.