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arXiv 1007.4093cond-mat.mes-hall
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一种磁场诱导石墨烯点的方案

Proposal for a magnetic field induced graphene dot

P. A. Maksym, M. Roy, M. F. Craciun, M. Yamamoto, S. Tarucha, H. Aoki

摘要:

研究了垂直于石墨烯的强磁场诱导量子点的形成。该点由一个模型势定义,该模型势由相对于平坦渐近部分的深度为$ΔV$的阱组成,并考虑了从第零朗道能级形成的量子态。相对于渐近势,点态的能量不能低于$-ΔV$。因此,当选择$ΔV$为第零个朗道能级和第一个朗道能级之间的间隙的大约一半时,点态在朗道能级0和朗道能级-1之间的间隙中被能量隔离。通过对磁场相关能谱和量子态的数值计算证实了这一点。值得注意的是,通过反转$ΔV$的符号形成的反点也限制了电子,但在朗道能级0和朗道能级+1之间的能量区域。这种不寻常的行为给出了石墨烯量子点新物理学的明确信号。

英文摘要:

Quantum dots induced by a strong magnetic field applied to a single layer of graphene in the perpendicular direction are investigated. The dot is defined by a model potential which consists of a well of depth $ΔV$ relative to a flat asymptotic part and quantum states formed from the zeroth Landau level are considered. The energy of the dot states cannot be lower than $-ΔV$ relative to the asymptotic potential. Consequently, when $ΔV$ is chosen to be about half of the gap between the zeroth and first Landau levels, the dot states are isolated energetically in the gap between Landau level 0 and Landau level -1. This is confirmed with numerical calculations of the magnetic field dependent energy spectrum and the quantum states. Remarkably, an antidot formed by reversing the sign of $ΔV$ also confines electrons but in the energy region between Landau level 0 and Landau level +1. This unusual behaviour gives an unambiguous signal of the novel physics of graphene quantum dots.

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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