Abstract

This article considers biexciton states in a cylindrical quantum dot in the strong dimensional quantization regime and shows the stability of the biexciton. A cylindrical quantum dot is limited in the axial direction by the parabolic potential, but in the radial direction – by the Morse potential. The dependences of the energy of the ground state of the biexciton on the geometric parameters of the quantum dot are calculated using the Heisenberg uncertainty principle. The dependence of the binding energy of the biexciton on the frequency of the parabolic potential is plotted. The lifetime of an exciton and biexciton in a cylindrical quantum dot is estimated for various parameters of the quantum dot.

中文翻译：

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具有 Mors 势能的圆柱量子点中 Biexiton 结合能的计算

摘要

本文考虑了强维量子化机制中圆柱形量子点中的双激子态，并展示了双激子的稳定性。圆柱形量子点在轴向上受到抛物线势的限制，但在径向上受到莫尔斯势的限制。使用海森堡测不准原理计算双激子基态能量对量子点几何参数的依赖性。绘制了双激子的结合能对抛物线势频率的依赖性。圆柱量子点中激子和双激子的寿命是针对量子点的各种参数估计的。