The anisotropy energies of (111) and (001) oriented Ag/Fe and Au/Fe multilayers are obtained by a first-principle calculation to investigate the orientational dependence of the magnetic anisotropy. All systems show perpendicular anisotropy in good agreement with experiments. In the case of Ag/Fe multilayers, the anisotorpy energy of the (001) oriented multilayer is larger than that of the (111) multilayer. In contrast to Ag/Fe, Au/Fe(111) multilayer exhibits a stronger perpendicular anisotropy than the (001) oriented system. In all systems, a large minority-spin LDOS of |m| = 2 character of Fe near the Fermi energy could be the origin of perpendicular magnetic anisotropy.
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