Angular and temperature dependence of the magnetic circular dichroism in4dcore-level photoemission from Gd(0001)

We present experimental and theoretical results for the angular and temperature dependence of magnetic circular dichroism in Gd $4d$ core-level photoelectron emission from a Gd(0001) surface in both normal and off-normal directions and with azimuthal variation. Two theoretical approaches are used to model this data: a single electron theory with full multiple scattering of the outgoing photoelectron and a full-relativistic many-electron theory with single scattering only. Thermal effects due to atomic vibrations and the excitation of initial-state multiplets are also included. For normal emission, we find smooth free-atom-like angular variations in emission intensity, while for off-normal e…