Abstract
The resonant X-ray scattering (magnetic elastic, RXMS, and inelastic, RIXS) of Ir at the L edges relevant to spin-orbit Mott insulators AIrO (A=Sr, Ba, etc.) are calculated using a single-ion model which treats the spin-orbit and tetragonal crystal-field terms on an equal footing. Both RXMS and RIXS in the spin-flip channel are found to display a non-trivial dependence on the direction of the magnetic moment, . Crucially, we show that for in the \emph{ab}-plane, RXMS at the L edge is zero \emph{irrespective} of the tetragonal crystal-field; spin-flip RIXS, relevant to measurements of magnons, behaves reciprocally being zero at L when is perpendicular to the \emph{ab}-plane. Our results provide important insights into the interpretation of X-ray data from the iridates, including that a ground state cannot be assigned on the basis of L/L intensity ratio alone.
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