Abstract
We present some exact studies on the ferromagnetic ground state of the multiband Hubbard models including the periodic Anderson model (two-band) and CuO 2 plane in the oxide superconductors (three band). First we show rigorous arguments that the ground state of the periodic Anderson model contains a ferromagnetic phase with spin angular momentum S=(N−1)/2 for Ne=N+1 where N is the number of lattice sites and Ne is that of electrons. Secondly the exact diagonalization technique is applied to small clusters. The models have the phase with high-spin state, indicating that a conduction electron is moving in the ferromagnetic background of localized spins.
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