  We study the electronic transport in an infinite one-dimensional Hubbard
chain, driven by a homogeneous electric field. The physical chain is coupled to
fermion bath chains, in order to account for dissipation and to prevent the
occurrence of Bloch Oscillations. The steady state current is computed in the
frame of Keldysh Green's functions in Cluster Perturbation Theory. The current
characteristics are dominated by resonant-tunneling-like structures, which can
be traced back to Wannier-Stark resonances due to anti-ferromagnetic
correlations. The same current characteristic occurs in a non-interacting
Wannier-Stark model with alternating on-site energies. Non-local effects of the
self energy can be accounted for the observed physical behaviour.
