Table 1 Average distance \(d_0\) (in a.u.) from the graphene overlayer on Ni(111) (GR/Ni), and between the graphene overlayer and the Ni surface, f-electron occupation \(n_f\), spin \(\langle M_S \rangle\), orbital \(\langle M_L \rangle\), and the total \(\langle M_S \rangle\) + \(\langle M_L \rangle\) moments (in \(\mu _B\)) for the Dy-atom. The non-f spin and the orbital magnetic moments, together with the total non-f magnetic moment m in the Dy@GR/Ni unit cell. The non-zero CF parameters [\(A_k^q\langle r^k\rangle\)], and the exchange field \(\Delta _\textrm{EX}\) for Dy adatom on GR/Ni(111) (in meV). The magnetic anisotropy constants K, and the corresponding magnetic anisotropy energy (MAE, meV) for the Dy adatom on GR/Ni(111) (in meV).

From: Perpendicular magnetic anisotropy in a single Dy adatom ferrimagnet