A Wigner-Function Approach to Interband Transitions Based on the Multiband-Envelope-Function Model
A Wigner-Function Approach to Interband Transitions Based on the Multiband-Envelope-Function Model
复制标题
基于多带包络函数模型的带间跃迁维格纳函数方法
DOI：
10.1080/00411450802536607
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
L. Demeio
中科院分区：
文献类型：
--
作者：
O. Morandi;L. Demeio
在均匀电场近似下，用Wigner函数方法描述了半导体中导带和价带之间电子的带间跃迁。量子动力学受k·p哈密顿量的支配；通过迭代过程，利用带内和带间动力学变量演化的不同时间尺度，获得了近似的闭合解。将这种近似的结果与数值解进行了比较，显示出很好的一致性，这为它在更现实的情况下使用铺平了道路，因为数值解更难获得。
The Wigner-function approach is used to describe an interband transition of electrons between the conduction and the valence band in a semiconductor under the action of an electric field in the uniform field approximation. The quantum dynamics is governed by the k·p Hamiltonian; an approximate closed-form solution is obtained by an iterative procedure that exploits the different time scales on which the intraband and interband dynamical variables evolve. The results of this approximation are compared with a numerical solution, showing an excellent agreement, which paves the way for its use in more realistic situations where the numerical solution is much harder to obtain.