Ground-state solutions of the Hubbard model
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The ground-state solutions of the Hubbard model are studied. A two-sublattice formalism is developed in order to allow ferromagnetic, ferrimagnetic, and antiferromagnetic solutions. The electronic structure is solved within the Bethe-lattice method and the size of the local moments on each sublattice are determinated in a self-consistent manner. We find that, for various values of the Coulomb repulsion (U) and as a function of the number of electrons (n), the ground state of the system may be that of a Pauli paramagnet, a ferromagnet, a ferrimagnet, or an antiferromagnet. It is also found that over a large region of the U-n phase diagram the ferrimagnetic state has a lower energy than the short-range-order phase reported by other authors. © 1983 The American Physical Society.
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