The question of spin-charge separation in two-dimensional lattices has
been addressed by numerical simulations of the motion of one hole in
a half-filled band. The calculations have been performed on finite clu
sters with Hubbard and t-J models. By comparing the time evolution of
spin and charge polarization currents in one and two dimensions, evide
nce in favor of spin-charge separation in two dimensions is presented.
In contrast with this, spin-charge separation is absent in a highly d
oped, metallic, system.