Lima R P A, Amado M, Domínguez-Adame F
GISC, Departamento de Física de Materiales, Universidad Complutense, E-28040 Madrid, Spain.
Nanotechnology. 2008 Apr 2;19(13):135402. doi: 10.1088/0957-4484/19/13/135402. Epub 2008 Feb 26.
A solvable model is developed for electronic structure calculations of shallow hydrogenic impurities in two-dimensional quantum dots. We replace the actual Coulomb interaction (local potential) between the electron and the hydrogenic impurity by a projective operator (non-local separable potential) to determine the resulting electronic states in closed form. It is shown that non-local separable potentials may be used to accurately calculate the energy shift of the electronic levels as a function of the size of the quantum dot and the impurity position.
我们开发了一种可求解模型，用于二维量子点中浅氢杂质的电子结构计算。我们用一个投影算符（非局域可分势）取代电子与氢杂质之间的实际库仑相互作用（局域势），以封闭形式确定由此产生的电子态。结果表明，非局域可分势可用于精确计算电子能级的能量位移，该位移是量子点尺寸和杂质位置的函数。
