▎ 摘　　要

We study energetics, electronic and magnetic structures, and magnetic anisotropy barriers of a monolayer of single-molecule magnets (SMMs), [Mn12O12(COOR)(16)](H2O)(4) (abbreviated as Mn-12, with R = H, CH3, C6H5, and CHCl2), on a graphene surface using spin-polarized density-functional theory with generalized gradient corrections and the inclusion of van der Waals interactions. We find that Mn-12 molecules with ligands -H, -CH3, and -C6H5 are physically adsorbed on graphene through weak van der Waals interactions, and a much stronger ionic interaction occurs using a -CHCl2 ligand. The strength of bonding is closely related to the charge transfer between the molecule and the graphene sheet and can be manipulated by strain in the graphene; specifically, tension enhances n doping of graphene, and compression encourages p doping. The magnetic anisotropy barrier is computed by including the spin-orbit interaction within density-functional theory. The barriers for the Mn-12 molecules with ligands -H, -CH3 and -C6H5 on graphene surfaces remain unchanged (within 1K) from those of isolated molecules because of their weak interaction, and a much larger reduction (10 K) is observed when using the -CHCl2 ligand on graphene due to a substantial structural deformation as a consequence of the much stronger interaction. Neither strain in graphene nor charge transfer affects the magnetic anisotropy barrier significantly. Finally, we discuss the effect of strong correlation in the high-spin state of a Mn-12 SMM and the consequence of SMM-surface adsorption.