  We study the one-point and two-point Green's functions in a complex random
matrix model to sub-leading orders in the large N limit. We take this complex
matrix models as a model for the two-state scattering problem, as applied to
spin dependent scattering of impurities in quantum Hall fluids. The density of
state shows a singularity at the band center due to reflection symmetry. We
also compute the one-point Green's function for a generalized situation by
putting random matrices on a lattice of arbitrary dimensions.
