%0 Journal Article %T Substrate effects on quasiparticles and excitons in graphene nanoflakes %A W. Sheng %A M. Sun %A A. Zhou %A S. J. Xu %J Physics %D 2013 %I arXiv %R 10.1063/1.4823829 %X The effects of substrate on electronic and optical properties of triangular and hexagonal graphene nanoflakes with armchair edges are investigated by using a configuration interaction approach beyond double excitation scheme. The quasiparticle correction to the energy gap and exciton binding energy are found to be dominated by the long-range Coulomb interactions and exhibit similar dependence on the dielectric constant of the substrate, which leads to a cancellation of their contributions to the optical gap. As a result, the optical gaps are shown to be insensitive to the dielectric environment and unexpectedly close to the single-particle gaps. %U http://arxiv.org/abs/1308.4790v1