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L$1_0$ FePt is a technologically important material for a range of novel datastorage applications. In the ordered FePt structure the normally non-magneticPt ion acquires a magnetic moment, which depends on the local field originatingfrom the neighboring Fe atoms. In this work a model of FePt is constructed,where the induced Pt moment is simulated by using combined longitudinal androtational spin dynamics. The model is parameterized to include a linearvariation of the moment with the exchange field, so that at the Pt site themagnetic moment depends on the Fe ordering. The Curie temperature of FePt iscalculated and agrees well with similar models that incorporate the Pt dynamicsthrough an effective Fe-only Hamiltonian. By computing the dynamic correlationfunction the anisotropy field and the Gilbert damping are extracted over arange of temperatures. The anisotropy exhibits a power-law dependence withtemperature with exponent $n\approx2.1$. This agrees well with what observedexperimentally and it is obtained without including a two-ion anisotropy termas in other approaches. Our work shows that incorporating longitudinalfluctuations into spin dynamics calculations is crucial for understanding theproperties of materials with induced moments.

Role of longitudinal fluctuations in L$1_0$ FePt