Ground-state and thermodynamic properties of the Hubbard model applied to small clusters

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Abstract
The Hubbard Model with nearest-neighbor hopping and one type of orbital is applied to small clusters, with emphasis on an octahedron (six sites). The complete eigenvalue spectrum is calculated. A rather complicated dependence of the spin of the ground state on occupation number, geometry, and model parameters is found. Thermodynamic properties are computed with use of a canonical ensemble. Results are reported for the specific heat, spin susceptibility, and spin-spin correlation functions.