We propose a random matrix model that interpolates between the chiral rando
m matrix ensembles and the chiral Poisson ensemble. By mapping this model o
n a non-interacting Fermi-gas we show that for energy differences less than
a critical energy E-c the spectral correlations are given by chiral Random
Matrix theory whereas for energy differences larger than E-c the number va
riance shows a linear dependence on the energy difference with a slope that
depends on the parameters of the model. If the parameters are scaled such
that the slope remains fixed in the thermodynamic limit, this model provide
s a description of QCD Dirac spectra in the universality class of critical
statistics. In this way a good description of QCD Dirac spectra for gauge f
ield configurations given by a liquid of instantons is obtained. (C) 2000 E
lsevier Science B.V. All rights reserved.