H. De Raedt, M. I. Katsnelson, “Electron energy level statistics in graphene quantum dots”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2008, Volume 88, Issue 9,Pages <nobr>698

This article is cited in 18 papers

CONDENSED MATTER

Electron energy level statistics in graphene quantum dots

H. De Raedt^a, M. I. Katsnelson^b

^a Department of Applied Physics, Zernike Institute for Advanced Materials University of Groningen, NL-9747 AG Groningen, The Netherlands
^b Institute of Molecules and Materials, Radboud University of Nijmegen, NL-6525 ED Nijmegen, The Netherlands

Abstract: Motivated by recent experimental observations of size quantization of electron energy levels in graphene quantum dots 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.

PACS: 05.45.Mt, 73.22.Dj, 81.05.Uw

Received: 13.08.2008
Revised: 12.09.2008

Language: English