Thermodynamics of the infinite-UHubbard model

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Abstract
I observe that the high-temperature expansions of the U=∞ Hubbard model on two- and three-dimensional bipartite lattices are consistent with a strong separation of energy scales for spin and translational degrees of freedom at an electron density n near 8/11. The high-temperature expansion of the specific heat is nearly identical with the high-temperature expansion of spinless fermionic holes of density 1-n, while the expansion of the uniform magnetic susceptibility is nearly identical with the susceptibility of free spins. Previous finite-size calculations are also consistent with this result.