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In most magnetically-ordered iron pnictides, the magnetic moments lie in theFeAs planes, parallel to the modulation direction of the spin stripes. However,recent experiments in hole-doped iron pnictides have observed a reorientationof the magnetic moments from in-plane to out-of-plane. Interestingly, thisreorientation is accompanied by a change in the magnetic ground state from astripe antiferromagnet to a tetragonal non-uniform magnetic configuration.Motivated by these recent observations, here we investigate the origin of thespin anisotropy in iron pnictides using an itinerant microscopic electronicmodel that respects all the symmetry properties of a single FeAs plane. We findthat the interplay between the spin-orbit coupling and the Hund's rule couplingcan account for the observed spin anisotropies, including the spinreorientation in hole-doped pnictides, without the need to invoke orbital ornematic order. Our calculations also reveal an asymmetry between the magneticground states of electron- and hole-doped compounds, with only the latterdisplaying tetragonal magnetic states.

Spin reorientation driven by the interplay between spin-orbit coupling and Hund's rule coupling in iron pnictides