  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 clusters with Hubbard and
t-J models. By comparing the time evolution of spin and charge polarisation
currents in one and two dimensions, evidence in favor of spin-charge separation
in two dimensions is presented. In contrast with this, spin-charge separation
is absent in a highly doped, metallic, system.
