Strong-coupling properties of the neutral Hubbard model

From a new variational approach to the Hubbard model, communicated previously 1], we derive the magnetic strong-coupling properties for the half filled band case of the Hubbard model in simple cubic lattices. The transition temperature from an AB-antiferromagnetic to a paramagnetic state, the sublattice magnetization and the localization of magnetic moments are investigated in detail. Near the strong coupling limit the results become asymptotically exact in a molecular field sense but they look reasonable even outside this asymptotic region.