Electron energy level statistics in graphene quantum dots

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.

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

References in corpus (5)

• Energy Band Gap Engineering of Graphene Nanoribbons
• Half-Metallic Graphene Nanoribbons
• Chaotic Dirac billiard in graphene quantum dots
• Magnetic Correlations at Graphene Edges
• Chaotic quantum dots with strongly correlated electrons

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• Edge scattering of electrons in graphene
• Resolvent convergence to Dirac operators on planar domains
• Chaotic properties of the truncated elliptical billiard
• Modeling charge relaxation in graphene quantum dots induced by electron-phonon interaction