Abstract
The supersymmetry method for study of disordered systems is shortly reviewed. The discussion starts with a historical introduction followed by an explanation of the idea of using Grassmann anticommuting variables for investigating disordered metals. After that the nonlinear supermatrix σ-model is derived. Solution of several problems obtained with the help of the σ-model is presented. This includes the problem of the level statistics in small metal grains, localization in wires and films, and Anderson metal–insulator transition. Calculational schemes developed for studying these problems form the basis of subsequent applications of the supersymmetry approach.
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