High-temperature series expansion for the extended Hubbard model

Abstract

We study the single-band Hubbard model, extended by an intersite interaction R . The method used is the high-temperature series expansion. Series to the sixth order are obtained for the grand canonical potential 0, staggered magnetic susceptibility OAF, charge-ordered susceptibility yzo, and compressibility K. These series are derived with general values of R" and the intrasite interaction U, for half-filling (n = 1) on a simple cubic lattice. We find that the antiferromagnetic phase is stabilized by repulsive W, in the limit of strong intrasite repulsion. The effect of nonzero hopping t on the charge-ordered and condensed phases is also examined. We find that the critical temperature for transition to a condensed phase is reduced, while the charge-ordered phase is destabilized by t for small, positive, or negative U, and stabilized for large, negative U.

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“…(15)- (22). Unless mentioned otherwise, we use U = 4 and n = 1 in all the figures, in units where = k B = t = 1.…”

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“…Further work on the Hubbard model was reported by Angelescu and Bhatt 16, Bartkowiak et al 32, and Steeb et al 132. Taneri and Paldus 286 and Bishop et al 41 considered Heisenberg and Ising models.…”

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“…al. have obtained the series to the sixth order for the staggered magnetic susceptibility and charge-ordered susceptibility [28]. Recently, Li et.al.…”