Abstract
The magnetic structure at the ground state of the single band Hubbard model is investigated. The extended Gutzwiller method is adopted. It is found, if the intra-atomic Coulomb integral is sufficiently large, that the ferromagnetic or antiferromagnetic ground states are obtained at nearly half-filled band in the cases of the simple cubic and body centered cubic structures and that the ferromagnetic ground states are obtained at more than half-filled band in the cases of the face centered cubic and hexagonal closed packed structures.