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Employing first-principles electronic structure calculations in conjunctionwith the frozen-magnon method we study the effective exchange interactions andspin waves in local moment ferromagnets. As prototypes we have chosen threeL2$_1$-type full Heusler alloys Cu$_2$MnAl, Ni$_2$MnSn and Pd$_2$MnSn, and theL1$_2$-type XPt$_3$ compounds with X= V, Cr and Mn. We have also includedCoPt$_3$ which is a usual ferromagnet. In all compounds due to the largespatial separation ($\sim 4$ \AA) of the magnetic transition metal atoms, the3\textit{d} states belonging to different atoms overlap weakly and as aconsequence the exchange coupling is indirect, mediated by the \textit{sp}electrons. Calculated effective exchange parameters are long range and showRKKY-type oscillations. The spin-wave dispersion curves are in reasonableagreement with available experimental data. Using the calculated exchangeparameters we have estimated the Curie temperatures within both the mean-fieldand the random-phase approximations. In local moment ferromagents deviations ofthe estimated Curie temperature with respect to the available experimental dataoccur when the ground-state electronic structure calculations overestimate thevalues of the spin magnetic moments as in VPt$_3$.

Ab-initio calculation of effective exchange interactions, spin waves, and Curie temperature in L2_1- and L1_2-type local moment ferromagnets