Abstract

We study the energy levels of charge carriers confined in a magnetic quantum dot in graphene surrounded by a infinite graphene sheet in the presence of energy gap. We explicitly determine the eigenspinors for both valleys K and \(K'\), whereas we use the boundary condition at interface of the quantum dot to obtain the energy levels. We numerically investigate our results and show that the energy levels exhibit the symmetric and antisymmetric behaviors under suitable conditions of the physical parameters. We find that the radial probability can be symmetric or antisymmeric according to the angular momentum is null or no-null. Finally, we show that the application of an energy gap decreases the electron density in the quantum dot, which indicates a temporary trapping of electrons.

Graphic abstract

中文翻译：

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带隙石墨烯中磁性量子点的能级

摘要

我们研究了在存在能隙的情况下，被无限大的石墨烯片包围的石墨烯中的磁性量子点中所载电荷载体的能级。我们明确地确定了谷值K和\（K'\）的本征自旋，而我们在量子点的界面处使用边界条件来获得能级。我们数值研究我们的结果，并表明在适当的物理参数条件下，能级表现出对称和反对称行为。我们发现，根据角动量为零或非零，径向概率可以是对称的或反对称的。最后，我们表明，能隙的施加降低了量子点中的电子密度，这表明电子被暂时俘获。

图形摘要