Numerical spurious solutions in the effective mass approximation

被引：39
|
作者：
Cartoixà, X
Ting, DZY
McGill, TC [1 ]
机构：
[1] CALTECH, TJ Watson Jr Lab Appl Phys 128 95, Pasadena, CA 91125 USA
[2] CALTECH, Jet Prop Lab, Pasadena, CA 91109 USA
来源：
JOURNAL OF APPLIED PHYSICS | 2003年 / 93卷 / 07期
关键词：
D O I：
10.1063/1.1555833
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
We have characterized a class of spurious solutions that appears when using the finite difference method to solve the effective mass approximation equations. We find that the behavior of these solutions as predicted by our model shows excellent agreement with numerical results. Using this interpretation we find a set of analytical expressions for conditions that the Luttinger parameters must satisfy to avoid spurious solutions. Finally, we use these conditions to check commonly used sets of parameters for their potential for generating this class of spurious solutions. (C) 2003 American Institute of Physics.
引用
收藏
页码：3974 / 3981
页数：8
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