Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model   at Small Disorder
  This work proposes a very simple random matrix model, the Flip Matrix Model, liable to approximate the behavior of a two dimensional electron in a weak random potential. Its construction is based on a phase space analysis, a suitable discretization and a simplification of the true model. The density of states of this model is investigated using the supersymmetric method and shown to be given, in the limit of large size of the matrix by the usual Wigner's semi-circle law. 
J. Bellissard (Universite Paul Sabatier et Institut Universitaire de   France), J. Magnen (Ecole Polytechnique) and V. Rivas...