  We investigate electron transport in disordered Hubbard chains contacted to
macroscopic leads, via the non-equilibrium Green's functions technique. We
observe a cross-over of currents and conductances at finite bias which depends
on the relative strength of disorder and interactions. The finite-size scaling
of the conductance is highly dependent on the interaction strength, and
exponential attenuation is not always seen. We provide a proof that the
Coherent Potential Approximation, a widely used method for treating disorder
averages, fulfils particle conservation at finite bias with or without electron
correlations. Finally, our results hint that the observed trends in conductance
due to interactions and disorder also appear as signatures in the single-site
entanglement entropy.
