Exact Diagonalization of Small Systems
In recent years numerical simulations have been increasingly used in the study of models describing strongly interacting systems. In particular after the discovery of high temperature superconductivity and the realization that it involves strongly interacting fermions a great deal of work appeared in the literature either on exact diagonalization studies or Quantum Monte Carlo studies on systems like the t — J model1, Hubbard model2 or more complicated models involving several bands3. In these two lectures we will attempt to give an impression about the systems that can be studied using exact diagonalization techniques and which using Monte Carlo methods, the limitations of each method and a guide to the main literature without attempting to give an exhaustive reference list in this rapidly developing field.
KeywordsHigh Temperature Superconductivity Infinite System Translation Operator Exact Diagonalization Diagonalization Method
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