Ferromagnetism of the Kondo lattice in the low-carrier-concentration limit

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Abstract
Exact diagonalization of a one-dimensional finite-size system with two conduction electrons is used to demonstrate the existence of an incompletely saturated ferromagnetic ground state in the low-carrier-concentration limit of the Kondo-lattice model. Interactions between the spin-polarization clouds around the electrons play an important part in the stabilization of the ferromagnetic ground state. In a spin-wave analysis of this ground state, two regimes are identified: The very-low-concentration limit is well described by the mean-field approach, whereas with increasing concentration spin fluctuations become important and suppress ferromagnetic order gradually.