Ferromagnetism in the Kondo-lattice model

We propose a modified RKKY-technique to evaluate the magnetic properties of the ferromagnetic Kondo-lattice model. Together with a previously developed selfenergy approach to the conduction electron part of the model we get a closed system of equations which can be solved self-consistently. Ferromagnetism appears for relatively low electron (hole) densities, while it is excluded around half-filling ($n=1$). For small $J$ conventional RKKY ($\sim J^2$) is reproduced; however, with strong deviations already for very moderate exchange couplings. For not too small $n$ a critical $J_c$ is needed to produce ferromagnetism with a finite Curie temperature $T_{\text{C}}$, which increases with $J$, then running into a kind of saturation, in order to fall off again and disappearing above an upper critical exchange $J$.