%0 Journal Article %T Phase Diagram of the 1D Kondo Lattice Model %A I. P. McCulloch %A M. Gulacsi %A S. Caprara %A A. Juozapavicius %J Physics %D 1999 %I arXiv %X We determine the boundary of the fully polarized ferromagnetic ground state in the one dimensional Kondo lattice model at partial conduction electron band filling by using a newly developed infinite size DMRG method which conserves the total spin quantum number. The obtained paramagnetic to ferromagnetic phase boundary is below $J \approx 3.5$ for the whole range of band filling. By this we solve the controversy in the phase diagram over the extent of the ferromagnetic region close to half filling. %U http://arxiv.org/abs/cond-mat/9908414v1