Electron energy level statistics in graphene quantum dots |
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Authors: | De Raedt H Katsnelson M I |
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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. |
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