  Effect of finite density of nonmagnetic impurities on a coexisting phase of
d-density wave (DDW) order and d-wave superconducting (DSC) order is studied
using Bogoliubov-de Gennes (BdG) method. The spatial variation of the
inhomogeneous DDW order due to impurities has a strong correlation with that of
density, which is very different from that of DSC order. The length scale
associated with DDW is found to be of the order of a lattice spacing. The
nontrivial inhomogeneities are shown to make DDW order much more robust to the
impurities, while DSC order becomes very sensitive to them. The effect of
disorder on the density of states is also discussed.
