  We study the creation and distribution of entanglement in disordered
$XY$-type spin-$1/2$ chains for the paradigmatic case of a single flipped spin
prepared on a fully polarized background. The local magnetic field is set to
follow a disordered long-range-correlated sequence with power-law spectrum.
Depending on the degree of correlations of the disorder, a set of extended
modes emerge in the middle of the band yielding an interplay between
localization and delocalization. As a consequence, a rich variety of
entanglement distribution patterns arises, which we evaluate here through the
concurrence between two spins. We show that, even in the presence of disorder,
the entanglement wave can be pushed to spread out reaching distant sites and
also enhance pairwise entanglement between the initial site and the rest of the
chain. We also study the propagation of an initial maximally-entangled state
through the chain and show that correlated disorder improves the transmission
quite significantly when compared with the uncorrelated counterpart. Our work
contributes in designing solid-state devices for quantum information processing
in the realistic setting of correlated static disorder.
