透镜型量子点中类氢杂质基态能的计算

通过有效质量近似和变分法，研究了垂直磁场下透镜型量子点中类氢杂质基态能量，并与球型量子点进行了比较.研究表明：对于球型量子点，基态能仅与杂质的偏离距离有关，与垂直和水平偏离无关；而对于透镜型量子点，由于水平方向和垂直方向束缚势的非对称性，电子基态能不仅与杂质的偏离距离有关，还与杂质偏离方向有关. 关键词： 透镜型量子点 基态能 变分法

Calculation of the ground-state energies of hydrogen-like impurity in a lens-shaped quantum dot

Compared with the spherical quantum dot, the ground-state energies of hydrogen-like impurity in a lens-shaped quantum dot (GaAs/In_1-xGa_xAs) under vertical magnetic field have been discussed by using effective mass approximation and variational method. It is found that for the spherical quantum dot, the ground-state energy is only related with the deviation of distance of the impurity, but not with the in-plane or perpendicular deviation. For a lens-shaped quantum dot, due to the asymmetry of the bound potential of in-plane and perpendicular to the plane, the electronic ground-state energies are related not only with the deviation of distance but also with the deviation of direction.