Abstract

Theoretical study on binding energies due to a centred charged impurity and the associated photoionization cross-section (PCS) in a spherical shell are presented. This was achieved by solving the Schrödinger equation within the effective mass approach. Intrinsic to the spherical quantum shell may be the parabolic potential or the shifted parabolic potential, each superimposed on an infinite spherical square well. Results indicate that the parabolic potential enhances binding energies while the shifted parabolic potential diminishes them. These electric potentials considerably modify photoionization cross section in two ways. One, the parabolic potential blueshifts peaks of PCS while the shifted parabolic potential redshifts the peaks. Second, the parabolic potential decreases the magnitude of the peaks of the PCS while the shifted parabolic potential increases the magnitudes of the peaks. In essence, these two potential may be used to manipulate PCS in quantum structures.

Graphic abstract

中文翻译：

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GaAs 球形量子壳中的光电离截面：抛物线限制电位的影响

摘要

介绍了由于球壳中的中心带电杂质和相关的光电离截面 (PCS) 引起的结合能的理论研究。这是通过在有效质量方法中求解薛定谔方程来实现的。球形量子壳的固有特性可能是抛物线势或位移抛物线势，每个都叠加在无限球形方形阱上。结果表明抛物线势会增强结合能，而移动的抛物线势会降低结合能。这些电势以两种方式显着改变了光电离截面。一，抛物线势使 PCS 的峰值蓝移，而移动的抛物线势使峰值红移。第二，抛物线势会降低 PCS 峰值的幅度，而移动的抛物线势会增加峰值的幅度。本质上，这两种势可用于操纵量子结构中的 PCS。

图形摘要