零磁场下量子阱中基元电子激发的非弹性散射
Inelastic electron and light scattering from the elementary electronic excitations in quantum wells: Zero magnetic field
摘要：
凝聚态物理（传统和非传统系统）提供的理解电子、光学和输运现象的最基本方法通常建立在两个实验基础上：非弹性电子散射和非弹性光散射。本工作为GaAs/Ga $_{1-x}$ Al $_{x}$ As量子阱中电子激发的非弹性电子散射和非弹性光散射理论提供了一个系统的框架。为此，我们从Kubo的关联函数出发，在Bohm-Pines的随机相位近似的框架内推导出广义非局域动态介电函数和逆介电函数。其次是非弹性电子散射和非弹性光散射理论的彻底发展。然后，方法论部分进行分析诊断，使我们能够感受到分析结果的微妙之处及其应用的重要性。一般的分析结果，这知道没有界限，例如，然后规定子带占用率，以便使它们适用于实际。在尝试和测试本征函数之后，我们计算了态密度、费米能量、由子带内和子带间--单粒子和集体（等离子体激元）--激发组成的全激发光谱、为非弹性电子散射设想的所有主要几何形状的损失函数，以及拉曼强度，它提供了对（激光）探针诱导的真实跃迁的测量，对于非弹性光散射
英文摘要：
The most fundamental approach to an understanding of electronic, optical, and transport phenomena which the condensed matter physics (of conventional as well as nonconventional systems) offers is generally founded on two experiments: the inelastic electron scattering and the inelastic light scattering. This work embarks on providing a systematic framework for the theory of inelastic electron scattering and of inelastic light scattering from the electronic excitations in GaAs/Ga$_{1-x}$Al$_{x}$As quantum wells. To this end, we start with the Kubo's correlation function to derive the generalized nonlocal, dynamic dielectric function, and the inverse dielectric function within the framework of Bohm-Pines' random-phase approximation. This is followed by a thorough development of the theory of inelastic electron scattering and of inelastic light scattering. The methodological part is then subjected to the analytical diagnoses which allow us to sense the subtlety of the analytical results and the importance of their applications. The general analytical results, which know no bounds regarding, e.g., the subband occupancy, are then specified so as to make them applicable to practicality. After trying and testing the eigenfunctions, we compute the density of states, the Fermi energy, the full excitation spectrum made up of intrasubband and intersubband -- single-particle and collective (plasmon) -- excitations, the loss functions for all the principal geometries envisioned for the inelastic electron scattering, and the Raman intensity, which provides a measure of the real transitions induced by the (laser) probe, for the inelastic light scattering...
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