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The substrate contribution to the magnetic anisotropy energy (MAE) ofsupported nanostructures can be quantified by a site-selective manipulation ofthe spin-orbit coupling (SOC) and the effective exchange field B_ex. Asystematic study of Co adatoms and Co monolayers on the (111) surfaces of Cu,Ag, Au, Pd and Pt is performed to study common trends in this class ofmaterials. It is found that for adatoms, the substrate contribution isrelatively small (10-30% of the MAE) while for monolayers, the substratecontribution can be substantial. The contribution from the SOC is much moreimportant than the contribution from the exchange field B_ex, except for highlypolarizable substrates with a strong SOC (such as Pt). The substrate alwayspromotes the tendency to an out-of-plane orientation of the easy magnetic axisfor all the investigated systems.

Magnetocrystalline anisotropy energy for adatoms and monolayers on non-magnetic substrates: where does it comes from?