氮化物柱形量子点中离子施主束缚激子态波函数的研究

摘要

Based on the framework of effective-mass approximation and variational approach,the binding energy of ionized donor bound exciton state（D＋,X） is investigated theoretically as functions of the quantum dot height L,the In fraction x and the donor impurity position Z0 by employing three different trial wavefunctions for wurtzite InxGa1-xN/GaN strained cylindrical quantum dot（QD） with finite potential barriers.The numerical results show that the variational law of the donor bound exciton binding energy with the quantum dot height L,the In fraction x and the impurity position Z0 is agreement by using variational calculations for three different trial wavefunctions.Quantitative comparisons have been made among the results given by three different trial wavefunctions,It is shown that the trial wavefunction Ψ2 with three parameters is superior for the cylindrical QD according to the variational approach.%在有效质量近似和变分原理的基础上,选取三个不同的尝试波函数,研究了纤锌矿结构的InxGa1-xN/GaN柱形量子点中离子施主束缚激子（D＋,X）的束缚能随量子点高度L、In含量x及离子施主杂质位置z0的变化规律.计算结果表明：三个不同尝试波函数变分计算得到的束缚能随量子点高度L、In含量x及离子施主杂质位置z0的变化规律一致.但对比三个不同尝试波函数计算所得结果,依据变分原理可知,三参量尝试波函数优越.