Random matrix theory for CPA: Generalization of Wegner's $n$--orbital model

Details Random matrix theory for CPA: Generalization of Wegner's $n$--orbital model Random matrix theory for CPA: Generalization of Wegner's $n$--orbital model

1994-10-18

arxiv.org/abs/cond-mat/9410063v1

Physics

Condensed Matter

3 pages, Rev-Tex

Scientific paper

10.1088/0305-4470/28/3/004

We introduce a generalization of Wegner's $n$-orbital model for the description of randomly disordered systems by replacing his ensemble of Gaussian random matrices by an ensemble of randomly rotated matrices. We calculate the one- and two-particle Green's functions and the conductivity exactly in the limit $n\to\infty$. Our solution solves the CPA-equation of the $(n=1)$-Anderson model for arbitrarily distributed disorder. We show how the Lloyd model is included in our model.

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