Abstract
We calculate the indirect interaction of two localized spins within an itinerant ferromagnet, and derive an exact analytic expression when the conduction bands are parabolic. The ground state for two localized spin-1/2 is analyzed for a physical range of parameters. It is shown that the ground state has an unexpected dependence on the net polarization of the itinerant electrons in the case of high itinerant electron density and strong coupling between the localized spins and itinerant electrons.
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