We consider fermions on a one-dimensional superlattice, represented by
a repeated pattern of repulsive (i.e., positive Hubbard U) and free (
i.e., U = 0) sites. Lanczos diagonalization of chains up to 12 sites a
t half filling shows that some patterns give rise to a weak form of fr
ustration. sufficient to wipe out the spin-density-wave (SDW) correlat
ions present in the otherwise homogeneous system. On the other hand, S
DW correlations appear for some patterns above half filling, a feature
absent in the homogeneous case. Below half filling, the local-moment
maxima are displaced from the repulsive to the free sites. The peak in
the magnetic structure factor is also shifted from q = pi, for the al
ternating configuration when rho = 1/3 and 5/3.