We study the single-band Hubbard model via high-temperature expansions to order (\ensuremath{\beta}t ${)}^{9}$ for the standard two- and three-dimensional lattices. Series are derived for the grand potential and for the ferromagnetic susceptibility, for general values of the Coulomb repulsion parameter U and electron density n. The series are difficult to analyze with any degree of precision, but estimates are obtained for the ferromagnetic critical temperature.We study the single-band Hubbard model via high-temperature expansions to order (\ensuremath{\beta}t${)}^{9}$ for the standard two- and three-dimensional lattices. Series are derived for the grand potential and for the ferromagnetic susceptibility, for general values of the Coulomb repulsion parameter U and electron density n. The series are difficult to analyze with any degree of precision, but estimates are obtained for the ferromagnetic critical temperature.

Physical review. B, Condensed matterSep 1, 199238 citations

Ferromagnetism in the Hubbard Model

Wolfgang Nolting, Michael Potthoff, T. Herrmann +1 more

arXiv:cond-mat/0107255Lecture notes in physicsJan 1, 20015 citations

We study the single-band Hubbard model via high-temperature expansions to order (\ensuremath{\beta}t

{)}^{9}

for the standard two- and three-dimensional lattices. Series are derived for the grand potential and for the ferromagnetic susceptibility, for general values of the Coulomb repulsion parameter U and electron density n. The series are difficult to analyze with any degree of precision, but estimates are obtained for the ferromagnetic critical temperature.