▎ 摘　　要

Herein, a comparative computational study inquiring about ground state magnetic properties of a nanometer-size bowtie graphene quantum dot with an AA-stacking bilayer trapezoid counterpart based on the single-orbital Hubbard model and density functional theory (DFT) is presented. The structures have an antiferromagnetic ground state with a 1-to-1 correspondence between the local spin polarizations of the two systems. The tight-binding energy spectra look different. However, a similar fashion in the energy spectra emerges after considering the Hubbard interaction term. A comparison between the spatial distributions of edge states shows that the wave functions in both structures are sublattice polarized by proposing a specific unit cell in the bilayer case. In addition, the on-site coulombic repulsion consequence on the rising of magnetization and the size of the local magnetic moment has been considered.