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arXiv 2008.02715cond-mat.mes-hallquant-ph
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磁场中带隙石墨烯量子点的能级

Energy Levels of Gapped Graphene Quantum Dot in Magnetic Field

Abderrahim Farsi, Abdelhadi Belouad, Ahmed Jellal

摘要:

我们研究了在存在能隙的情况下,被无限大石墨烯片包围的石墨烯磁性量子点中载流子的能级。利用量子点界面的边界条件,得到了$K$和$K'$谷的本征旋量和相应的能级.数值研究表明,在适当的物理参数条件下,能级具有对称性和反对称性。我们发现,根据角动量为零或非零,径向几率可以是对称的或反对称的。最后,我们表明,一个能隙的应用程序减少了电子密度的量子点,这表明一个临时的电子捕获。

英文摘要:

We study the energy levels of carriers confined in a magnetic quantum dot of graphene surrounded by a infinite graphene sheet in the presence of energy gap. The eigenspinors are derived for the valleys $K$ and $K'$, while the associated energy levels are obtained by using the boundary condition at interface of the quantum dot. We numerically investigate our results and show that the energy levels exhibit the symmetric and antisymmetric behaviors under suitable conditions of the physical parameters. We find that the radial probability can be symmetric or antisymmeric according to the angular momentum is null or no-null. Finally, we show that the application of an energy gap decreases the electron density in the quantum dot, which indicates a temporary trapping of electrons.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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