Antiferromagnetic Solution of the Hubbard Model

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Abstract
The Hubbard Hamiltonian for the system of one-electron atoms is solved in the presence of sublattice magnetization. In the limit of the fully antiferromagnetic state, the results reproduce those of Slater's split-band model by splitting a nonmagnetic band into spin-polarized bands. As magnetization decreases, antipolarized split bands appear and increase their strengths while the band gap remains constant. In the limit of no sublattice magnetization, the strengths of the two types of bands become equal, yielding the Hubbard nonmagnetic insulating state.

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