A spin operator for modeling ferromagnetic alignment
  We have limited our interaction scope to those involving particle-s spin. We then develop operators for handling a many-body treatment of the spin interactions. The results presented show how to promote the particles of the system into the same spin state with time. We therefore, in order to tune the model for ferro-magnetism, assume that the operators act only on particles that are, initially, of the same spin state. The observed growth in the population of particles of the same spin with time makes the model a success. Almost all of the recent experimentally observed and theoretically predicted formations are accurately obtainable with this model. 
R. O. Akande, O. E. Oyewande
cond-mat.str-el cond-mat.other