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Anisotropic Exchange Interaction between Non-magnetic Europium Cations in Eu_2O_3

The electronic structure of the cubic and (high pressure) hexagonal phases of Eu2O3 have been investigated by mean of full potential linearized augmented plane wave calculations, within the LDA+U method. For the cubic phase, the comparison between ferromagnetic and antiferromag- netic calculations shows that the exchange interaction is very weak and is therefore expected to have a negligible effect on the magnetic susceptibility. This is consistent with the experimental behavior of the susceptibility of solid solutions of Eu2O3 into A2O3 (A=Y, Lu, Sc). The calcu- lations performed for the high pressure hexagonal phase, on the other hand, show that there is an antiferromagnetic exchange interaction between nearest neighbor Eu ions, which should have a sizeable effect on the susceptibility. Our results allow us to discuss the existing theories.