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arXiv 0810.3216cond-mat.mes-hall
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垂直磁场中石墨烯量子点能谱的解析模型

Analytic Model for the Energy Spectrum of a Graphene Quantum Dot in a Perpendicular Magnetic Field

S. Schnez, K. Ensslin, M. Sigrist, T. Ihn

摘要:

利用无限质量边界条件,解析计算了半径为R的圆形石墨烯量子点在垂直磁场B作用下的能谱。我们可以得到已知的极限,对于R,B趋于无穷大,B趋于零的情况。我们的模型能够捕捉到最近实验的基本细节。理论和实验之间的定量一致性是有限的,因为事实上,一个圆点是不够接近的实验几何形状,无序起着重要的作用,和相互作用的影响可能是相关的。

英文摘要:

We analytically calculate the energy spectrum of a circular graphene quantum dot with radius R subjected to a perpendicular magnetic field B by applying the infinite-mass boundary condition. We can retrieve well-known limits for the cases R, B going to infinity and B going to zero. Our model is capable of capturing the essential details of recent experiments. Quantitative agreement between theory and experiment is limited due to the fact that a circular dot is not close enough to the experimental geometry, that disorder plays a significant role, and that interaction effects may be relevant.

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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