Single Band Hubbard Model with Infinite Repulsion on 2×2×2 Lattice

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  • Single Band Hubbard Model with Infinite

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All the energy eigenvalues of the Hubbard model with infinite repulsion on 2×2×2 cubic lattice for different electron numbers Ne are calculated numerically. For Ne=4, 7 the ground state is completely ferromagnetic; namely, total spin S is Ne⁄2. For Ne=5, the total spin of the ground state is 3/2. For Ne=2, 6, it is zero. For Ne=1, 3, it is 1/2. Thermodynamic quantities such as entropy, susceptibility and specific heat are calculated with the method of canonical ensemble. There are two peaks in the specific heat curve for Ne=4, 5, 6, 7, but only one peak for Ne=1, 2, 3.

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