Multiband, Non-Parabolic Wigner-Function Approach to Electron Transport in Semiconductors
Multiband, Non-Parabolic Wigner-Function Approach to Electron Transport in Semiconductors
复制标题
半导体中电子传输的多频带非抛物线维格纳函数方法
DOI：
10.1080/00411450508951151
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
C. Jacoboni
中科院分区：
文献类型：
--
作者：
L. Demeio;P. Bordone;C. Jacoboni
摘要本文采用wigner函数方法，建立了半导体中量子电子输运的多带输运模型。利用密度矩阵的Bloch-Floquet分解，得到了Wigner函数的Bloch-Floquet投影，导出了任意形状能带的Bloch-Floquet投影演化方程。该模型的方程是非常一般的，并且允许（原则上）研究可能发生带间跃迁和/或非抛物线效应的量子过程。最后，我们给出了一些可以很容易得到数值解的特殊情况的数值应用。
Abstract In this work, we introduce a multiband transport model for quantum electron transport in semiconductors following the Wigner-function approach. By using the Bloch-Floquet decomposition of the density matrix, we obtain the Bloch-Floquet projections of the Wigner function and derive their evolution equations for energy bands of arbitrary shape. The equations of the model are very general and allow (in principle) the investigation of quantum processes in which interband transitions and/or non-parabolicity effects may occur. Finally, we present numerical applications for some particular cases in which the numerical solution can be obtained easily.