Eur. Phys. J. B 83, 451-455 (2011)
https://doi.org/10.1140/epjb/e2011-20060-y

Regular Article

Exciton effects in armchair graphene nanoribbons

College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang, 464000, P.R. China

^a e-mail: jiayonglei@gmail.com

Received: 22 January 2011
Received in final form: 10 July 2011
Published online: 17 October 2011

Abstract

We have studied the exciton effects in armchair graphene nanoribbons systematically, using the nonorthogonal tight-binding model supplement by the long-range Coulomb interactions. It is found from our calculations that the excitation energies, the exciton binding energies and the exciton wave function sizes of the E₁₁ and E₂₂ excitons all exhibit oscillation as a function of the ribbon width. And there is a phase shift of π between the oscillation of the E₁₁ and E₂₂ excitons.