In this paper, the impurity states in square, parabolic and V-shaped quantum wells (QWs) are calculated by the plane wave method under the theoretical framework of effective mass envelope function approximation. In different shaped QWs, the impurity binding energies in 1s-like state and 2p-like state have the same trend with the increase of QW width. However, the transition energies of impurity states between 1s-like state and 2p-like state in three shaped QWs are different. When the width of QW is fixed, the transition energy in square QW is the minimum and that in V-shaped QW is the maximum. The effect of electric field is larger for the on-center donor impurity. The effect of electric field on the impurity states is the largest in square QW and the smallest in V-shaped QW.

中文翻译：

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外加电场下不同形状量子阱中的杂质态

本文在有效质量包络函数逼近的理论框架下，采用平面波法计算了方形、抛物线和V形量子阱（QW）中的杂质态。在不同形状的QW中，类1s和类2p态的杂质结合能随着QW宽度的增加具有相同的趋势。然而，三种形状的QW中杂质态在类1s态和类2p态之间的跃迁能是不同的。当QW宽度固定时，方形QW的跃迁能最小，V形QW的跃迁能最大。电场对中心施主杂质的影响更大。电场对杂质状态的影响在方形QW中最大，在V形QW中最小。