▎ 摘　　要

An energy model of graphene sheet self-organized on the vicinal surfaces was established to investigate its stabilization mechanism. Based on the energy minimum principle, an equilibrium width equation of graphene sheet related to its length and the step width was built to explain the growth mode. The vicinal surface as a functional platform will play a challenging role in modulating the energy bandgap of graphene sheet through controlling the step width due to the surface Friedel oscillation, which provides a promising approach to design nanostructures in future nano-semiconductor physics.