A new variational method is used to investigate the ground state of the Hub
bard model with a half-filled band for a one-dimensional chain, a planar sq
uare lattice, and a simple cubic lattice. A metamagnetic transition is foun
d to occur in a one-dimensional chain and a simple square lattice. A simple
cubic lattice does not undergo the metamagnetic transition. (C) 2001 MAIK
"Nauka/Interperiodica".