论文标题
使用Bendaniel-Duke边界条件对圆形量子点进行Landau量化
Landau quantization of a circular Quantum Dot using the BenDaniel-Duke boundary condition
论文作者
论文摘要
我们在横向磁场下得出圆形量子点（QD）的能级，并结合了本丹尼尔·杜克边界条件（BDD）。我们模型中的参数是限制性屏障高度，QD的大小，磁场强度和质量比突出了使用BDD的效果。已经计算出电荷密度，过渡能和能量对磁场的依赖性，以显示BDD的强大影响。我们发现我们的数值计算与GAAS-INGAAS量子点的实验结果非常吻合，并且可以进一步使用。我们还为我们的数值结果提供了有见地的分析近似，该近似值很好地收敛于较大的大小和限制值。
We derive the energy levels of a circular Quantum Dot (QD) under a transverse magnetic field, incorporating the Ben-Daniel Duke boundary condition (BDD). The parameters in our model are the confinement barrier height, the size of the QD, the magnetic field strength, and a mass ratio highlighting the effect of using BDD. Charge densities, transition energies, and the dependence of energies on magnetic field has been calculated to show the strong influence of BDD. We find that our numerical calculations agree well with experimental results on the GaAs-InGaAs Quantum Dot and can be used further. We also provide an insightful analytical approximation to our numerical results, which converges well for larger values of size and confinement.
