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arXiv · 0804.2758

Electron energy level statistics in graphene quantum dots

H. De Raedt·M. I. Katsnelson
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Abstract

Motivated by recent experimental observations of size quantization of electron energy levels in graphene quantum dots \cite{ponomarenko} we investigate the level statistics in the simplest tight-binding model for different dot shapes by computer simulation. The results are in a reasonable agreement with the experiment which confirms qualitatively interpretation of observed level statistics in terms of "Dirac billiards" without taking into account many-body effects. It is shown that edge effects are in general sufficient to produce the observed level distribution and that even strong bulk disorder does not change the results drastically.

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H. De Raedt, M. I. Katsnelson. 2008-04-17. Electron energy level statistics in graphene quantum dots. https://doi.org/10.1134/s0021364008210133

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