Antiferromagnetic coupling between nearest neighbor vanadium atoms is
discussed in the case of free-standing cluster and slabs, steps at the
surface of V and V islands on Ag(001). In the self-consistent tight-b
inding derivation of the unrestricted approximation of the Hubbard-Ham
iltonian, we have investigated the onset of magnetism in terms of the
exchange integral J. For each topological arrangement of the V cluster
s [free-standing or as overlayer on Ag(001)], various possible magneti
c states are considered and transition from nonmagnetic to magnetic or
der is characterized. The (001) surface is shown to present magnetism
for a value of J lower than those for the other crystallographic faces
.