Abstract
We propose a mechanism for circular magnetic X-ray dichroism (CMXD) in a pre-edge region of the Fe K-edge in rare-earth iron garnets, within a cluster approximation. The pre-edge absorption is assumed to be dominated by the electric-dipole transition from 1 s states to 4 p states mixed with 3 d states of Fe ions through the hybridization between these orbitals and 2 p orbitals of nearest-neighbor O ions. Considering the different symmetries and the different spin orientations for Fe ions at the tetrahedral (T d ) site and at the octahedral (O h ) site, we calculate CMXD for both cases based on T d and O h iron-oxygen clusters. It is found that CMXD is a manifestation of the combined effect of the spin-orbit coupling and the spin polarization in the 3 d orbitals. The result is discussed in connection with experimental observations.
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