Rauguth, A.; Alhassanat, A.; Elnaggar, H.; Athanasopoulou, A.A.; Luo, C.; Ryll, H.; Radu, F.; Mashoff, T.; De Groot, F.M.F.; Rentschler, E.; Elmers, H.J.: Anisotropy of 4f states in 3d-4f single-molecule magnets. Physical Review B 105 (2022), p. 134415/1-10
10.1103/physrevb.105.134415
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Abstract:
We have measured angular-dependent fluorescence-yield x-ray magnetic circular dichroism spectra on single crystals of the heterometallic 3d−4f 12-metallacrown-4 TbMn4 and DyMn4 complexes. Simulated spectra using crystal-field multiplet calculations reproduce the experimentally observed spectra. The orientation of the molecules causes linear dichroism spectra of the 4f absorption spectra. This natural linear dichroism shows the anisotropic charge distribution of the rare-earth 4f state in the tetragonal crystal field despite the small 4f crystal-field splitting. The magnetic moment of the molecule is dominated by the rare-earth moment revealing a considerably large contribution of orbital moment. From a sum-rule analysis of experimental and simulated x-ray magnetic circular dichroism, we determined corrected spin and orbital Dy moments at low temperature (14 K) within a magnetic field of 7 T. We find a significant angular dependence of the Dy magnetic moments, indicating the presence of fourth-order magnetic anisotropy.