Energy spectra of two-electron two-dimensional quantum dots confined by elliptical and bowl-like potentials
Energy spectra of two-electron two-dimensional quantum dots confined by elliptical and bowl-like potentials
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椭圆和碗状势限制的双电子二维量子点的能谱
DOI：
10.1063/1.1616987
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发表时间：
2003
影响因子：
3.2
通讯作者：
Shu
中科院分区：
文献类型：
--
作者：
Lian;Fengjiao Ma;Shu
半导体异质结中量子点的横向约束势近似为二维椭圆谐振子势阱或碗状圆形势阱。在有效质量近似下，用精确对角化方法计算了两个相互作用电子在这些势中的能谱随量子点尺寸和限制势特征频率的变化.根据椭圆约束势沿着y轴的特征频率与沿着x轴的特征频率之比显示能级交叉。用对关联函数和条件概率分布研究振转光谱，发现了圆对称性的破坏。然而，在椭圆量子点中仍然存在一些对称性。当量子点被“碗状”势限制时，量子点能级的简并性被消除，量子点能级的分布随势垒高度的不同而不同。(C)2003年，美国物理学会。
The laterally confining potential of quantum dots (QDs) fabricated in semiconductor heterostructures is approximated by an elliptical two-dimensional harmonic-oscillator well or a bowl-like circular well. The energy spectrum of two interacting electrons in these potentials is calculated in the effective-mass approximation as a function of dot size and characteristic frequency of the confining potential by the exact diagonalization method. Energy level crossover is displayed according to the ratio of the characteristic frequencies of the elliptical confinement potential along the y axis and that along the x axis. Investigating the rovibrational spectrum with pair-correlation function and conditional probability distribution, we could see the violation of circular symmetry. However, there are still some symmetries left in the elliptical QDs. When the QDs are confined by a "bowl-like" potential, the removal of the degeneracy in the energy levels of QDs is found. The distribution of energy levels is different for the different heights of the barriers. (C) 2003 American Institute of Physics.