圆形量子点在BenDaniel-Duke边界条件下的Landau量子化
Landau quantization of a circular Quantum Dot using the BenDaniel-Duke boundary condition
摘要：
利用Ben-Daniel Duke边界条件，推导了横向磁场作用下圆形量子点的能级.在我们的模型中的参数是限制势垒高度，量子点的大小，磁场强度，和质量比突出使用BDD的效果。电荷密度，跃迁能，以及能量对磁场的依赖关系已被计算显示强烈的影响BDD。我们发现，我们的数值计算与实验结果符合良好的GaAs-InGaAs量子点，可以进一步使用。我们还提供了一个有见地的分析近似我们的数值结果，收敛以及较大的值的大小和限制。
英文摘要：
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.
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