Abstract
We study the evolutions of the N\'eel temperature ${T}_{N}$ and double occupancy $〈{n}_{\ensuremath{\uparrow}}{n}_{\ensuremath{\downarrow}}〉$ with Coulomb repulsion U in the half-filled Hubbard model on an infinite-dimensional $(d=\ensuremath{\infty})$ Bethe lattice using the slave-boson theory. Our theory can analytically yield the entire ${T}_{N}(U)$ curve from the weak- to strong-coupling limit, successfully reproduce the exact asymptotic result ${T}_{N}{=t}^{2}/U$ in the Heisenberg limit $U/\stackrel{\ensuremath{\rightarrow}}{t}\ensuremath{\infty},$ and elucidate the approximate U value for the maximum ${T}_{N}(U).$
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