“…In the ensuing sections we will focus our attention on the stability conditions for the free magnetic polaron in the double exchange model (DEM), with an eye on the experimental evidence for magnetic polarons in EuB 6 9,10 , and having in mind the description of the magnetoelectronic properties of this material in terms of DE 23 . Studies devoted to the polaronic stability in this particular model and its variations have been performed by several authors both analytically and numerically, although under different assumptions 21,24,25,26,27,28,29,30 . We show that the DE-based interpretation of magnetotransport in EuB 6 is consistent with the experimental evidence for a polaronic phase mediating the PM-FM transition.…”