We have investigated the magnetism of hexagonal 3d-metal monolayers, e
pitaxially adsorbed on the graphite (0001) surface, by spin-polarized
electronic-structure calculations using the tight-binding linear muffi
n-tin orbital method. The calculations have been carried out in ferrom
agnetic, antiferromagnetic, and ferrimagnetic configurations for both
adsorbed and unsupported monolayers. We find that the V monolayers are
nonmagnetic and that the Fe, Co, and Ni monolayers are ferromagnetic.
For the Mn monolayers, antiferromagnetic and ferrimagnetic configurat
ions are more stable than the ferromagnetic one. For the unsupported C
r monolayer, antiferromagnetic and ferrimagnetic configurations exist,
but they are almost degenerate with the nonmagnetic solution. This is
due to the frustration of the antiferromagnetic nearest-neighbor coup
ling on the hexagonal lattice. The magnetic moments of the adsorbed mo
nolayers are substantially reduced from their unsupported monolayer va
lues and vanish completely in the case of Cr.