Scaling Law of Exciton Properties in the Surface Hydrogenated Armchair Graphene Nanoribbon

Abstract

The scaling law of exciton effect in the surface hydrogenated graphene nanoribbon with armchair edge (H‐AGNRs) is studied by first principle density function theory (DFT) with quasi‐particle corrections and many‐body, i. e. electron‐hole interactions. Realizing the failure of the traditional family effect in the pristine AGNRs, we introduce an effective width model, which can systematically describe the electronic structures of H‐AGNRs by three catalogues. In the model, the relationship between the effective widths and the effective family index can well line up at the ground states of H‐AGNRs. We also scale the exciton binding energies with effective width of H‐AGNRs. This work provides more general understanding for the surface modification on the electronic properties in ultra‐narrow AGNRs and discloses a more universal family effect in the AGNRs systems.

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