Anderson localization and Supersymmetry
Disordered Systems and Neural Networks
2010-07-13 v1 Mesoscale and Nanoscale Physics
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 -model is derived. Solution of several problems obtained with the help of the -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.
Cite
@article{arxiv.1002.2632,
title = {Anderson localization and Supersymmetry},
author = {K. B. Efetov},
journal= {arXiv preprint arXiv:1002.2632},
year = {2010}
}
Comments
Submitted as a chapter in the book "Fifty Years of Anderson Localization"