Many-body wave function and collective dynamics of electrons in artificial atoms

人造原子或量子点是一种新型的量子系统，它将少量电子限制在人工设计的低维纳米势垒中，在发展根据量子力学原理运行的下一代设备中发挥着至关重要的作用，这些设备用于量子计算和量子通信。由于人造原子的电子性质在很大程度上取决于其电子的大小和/或数目，因此了解其复杂的电子结构是最基本和最基本的问题之一。在这个方向上，目前的研究集中在所谓的洪德规则的起源和人造原子中角关联的出现。在自旋平行的单重态波函数中发现了一个固有空穴，称为共轭费米空穴。结果表明，基于这一共轭费米空穴概念，洪德规则和角关联的起源是合理的。

Artificial atoms or quantum dots, novel quantum systems confining a small number of electrons in a low-dimensional artificially-designed nanoscale potential well, play an essential role in the development of next generation devices operating under the principle of quantum mechanics, utilized in, such as, quantum computation and quantum telecommunication. Since the electronic properties of artificial atoms are known to depend strongly on their size and/or number of electrons, understanding their complicated electronic structure is one of the most fundamental and essential issues. In this direction the present study has focused on the origin of so-called Hund's rule and on the appearance of angular correlation in artificial atoms. An inherent hole in the spin-parallel singlet wave function has been identified and is called conjugate Fermi hole. It has been shown that the origin of Hund's rule and angular correlation can be rationalized on the basis of this conjugate-Fermi-hole concept.