Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder

Details Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder

2002-10-23

arxiv.org/abs/cond-mat/0210524v1

Physics

Condensed Matter

Statistical Mechanics

21 pages, 1 figure

Scientific paper

This work proposes a very simple random matrix model, the Flip Matrix Model, liable to approximate the behavior of a two dimensional electron in a weak random potential. Its construction is based on a phase space analysis, a suitable discretization and a simplification of the true model. The density of states of this model is investigated using the supersymmetric method and shown to be given, in the limit of large size of the matrix by the usual Wigner's semi-circle law.

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