ANDERSON LOCALIZATION AND SUPERSYMMETRY

作者:Efetov K B*
来源:International Journal of Modern Physics B, 2010, 24(12-13): 1756-1788.
DOI:10.1142/S0217979210064587

摘要

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 sigma-model is derived. Solution of several problems obtained with the help of the sigma-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.

  • 出版日期2010-5-20

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