Electron energy level statistics in graphene quantum dots

Details Electron energy level statistics in graphene quantum dots Electron energy level statistics in graphene quantum dots

2008-04-17

arxiv.org/abs/0804.2758v2

Pis'ma v ZhETF, vol. 88, iss. 9, pp. 698 -- 701 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Published: Pis'ma v ZhETF, vol. 88, iss. 9, pp. 698 -- 701 (2008)

Scientific paper

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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