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arXiv · 1002.2632

Anderson localization and Supersymmetry

K. B. Efetov
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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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K. B. Efetov. 2010-02-12. Anderson localization and Supersymmetry. https://doi.org/10.1142/s0217979210064587

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