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Local aspects of magnetism of disordered FePt are investigated by ab initiofully relativistic full potential calculations, employing the supercellapproach and the coherent potential approximation (CPA). The focus is on trendsof the spin and orbital magnetic moments with chemical composition and withbond lengths around the Fe and Pt atoms. A small but distinct differencebetween average magnetic moments obtained when using the supercells and whenrelying on the CPA is identified and linked to the neglect of the Madelungpotential in the CPA.

Local environment effects in the magnetic properties and electronic structure of disordered FePt