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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >A bandmixing treatment for multi band-coupled systems via nonlinear-eigenvalue scenario
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A bandmixing treatment for multi band-coupled systems via nonlinear-eigenvalue scenario

机译：通过非线性 - 特征值场景对多带耦合系统的带混凝处理

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摘要

We present a numeric-computational procedure to deal with the intricate bandmixing phenomenology in the framework of the quadratic eigenvalue problem (QEP), which is derived from a physical system described by N-coupled components Sturm-Liouville matrix boundary-equation. The modeling retrieves the generalized Schur decomposition and the root-locus-like techniques to describe the dynamics of heavy holes (hh), light holes (1h) and spin-split holes (sh) in layered semiconductor heterostructures. By exercising the extended (N = 6) Kohn Luttinger model, our approach successfully overcomes the medium-intensity regime for quasi-particle coupling of previous theoretical studies. As a bonus, the sufficient conditions for a generalized QEP have been refined. The sh-related off-diagonal elements in the QEP mass-matrix, becomes a competitor of the bandmixing parameter, leading the hh-sh and lh-sh spectral distribution to change, then they can not be disregarded or zeroed, as was assumed in previous theoretical studies. Thereby, we unambiguously predict that several of the new features detected for hh-lh- sh spectral properties and propagating modes, become directly influenced by the metamorphosis of the effective band-offset scattering profile due sub-bandmixing effects strongly modulated with the assistance of sh, even at low-intensity mixing regime.
机译：我们提出了一种数字计算过程，以处理二次特征值问题（QEP）的复杂带混发现象学（QEP），其衍生自N耦合组件Sturm-Liouville矩阵边界方程所描述的物理系统。模型检索着广义氏族分解和根基因座的技术，以描述重孔（HH），透光孔（1H）和分层半导体异质结构中的旋转分裂孔（SH）的动态。通过锻炼扩展（n = 6）Kohn Luttinger模型，我们的方法成功地克服了先前理论研究的准粒子耦合的中型强度制度。作为奖励，广义QEP的充分条件已被精制。在QEP质量矩阵中的SH相关的截止元素成为带混凝器参数的竞争对手，导致HH-SH和LH-SH光谱分布改变，然后它们不能被忽略或归零，如假设以前的理论研究。由此，我们明确预测，为HH-LH-SH光谱特性和传播模式检测到的几个新功能，变得直接受到由于SH辅助强烈调制的有效带偏移散射轮廓的变态的影响，即使在低强度混合制度下也是如此。

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