  We analyze the influence of disorder and strong correlations on the topology
in two dimensional Chern insulators. A mean field calculation in the
half-filled Haldane model with extended Hubbard interactions and Anderson
disorder shows that disorder favors topology in the interacting case and
extends the topological phase to a larger region of the Hubbard parameters. In
the absence of a staggered potential, we find a novel disorder-driven
topological phase with Chern number C=1, with co-existence of topology with
long range spin and charge orders. More conventional topological Anderson
insulating phases are also found in the presence of a finite staggered
potential.
