Electron energy level statistics in graphene quantum dots |
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Authors: | H De Raedt and M I Katsnelson |
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Institution: | (1) Department of Applied Physics, Zernike Institute for Advanced Materials University of Groningen, NL-9747 AG Groningen, The Netherlands;(2) Institute of Molecules and Materials, Radboud University of Nijmegen, NL-6525 ED Nijmegen, The Netherlands |
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Abstract: | Motivated by recent experimental observations of size quantization of electron energy levels in graphene quantum dots 7]
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.
The article is published in the original. |
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