Magnetic anisotropy

Is there a relation between magneto-crystalline anisotropy and the orbital moment?

A spin-reorientation from in-plane to out-of-plane occurs when the magneto-crystalline anisotropy favors an out-of-plane magnetization and is large enough to overcome the shape anisotropy. The magneto-crystalline anisotropy and hence the perpendicular magnetic anisotropy is given by the anisotropy in the spin-orbit energy, ΔE_SO.

P. Bruno showed that it is possible to derive a linear relationship between the orbital moment anisotropy and the magneto-crystalline anisotropy.

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http://www.fysast.uu.se/molcond/content/magnetic-anisotropy