  We study the Stephanov model, which is an RMT model for QCD at finite
density, using the Complex Langevin algorithm. Naive implementation of the
algorithm shows convergence towards the phase quenched or quenched theory
rather than to intended theory with dynamical quarks. A detailed analysis of
this issue and a potential resolution of the failure of this algorithm are
discussed. We study the effect of gauge cooling on the Dirac eigenvalue
distribution and time evolution of the norm for various cooling norms, which
were specifically designed to remove the pathologies of the complex Langevin
evolution. The cooling is further supplemented with a shifted representation
for the random matrices. Unfortunately, none of these modifications generate a
substantial improvement on the complex Langevin evolution and the final results
still do not agree with the analytical predictions.
