Abstract

Hydrogen-like impurity states in a semiconductor nanoplatelets in the shape of a rectangular parallelepiped of small thickness are investigated within the framework of the variational method. It is shown that, due to the small thickness of the nanostructure, the impurity can be considered two-dimensional one. In the case of a divalent impurity, the electron-electron interaction is also considered two-dimensional and taken into account as a perturbation. By analogy with the theory of the helium atom, the energy of the electron-electron interaction for the para-state is determined.

中文翻译：

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半导体纳米片中的单价和二价杂质状态

摘要

在变分方法的框架内研究了小厚度长方体形状的半导体纳米片中的类氢杂质状态。结果表明，由于纳米结构的厚度很小，杂质可以被认为是二维的。在二价杂质的情况下，电子-电子相互作用也被认为是二维的，并被视为扰动。通过类比氦原子的理论，确定了副态的电子-电子相互作用的能量。