Perturbation Theory for the Rosenzweig-Porter Matrix Model

Details Perturbation Theory for the Rosenzweig-Porter Matrix Model Perturbation Theory for the Rosenzweig-Porter Matrix Model

1997-05-22

arxiv.org/abs/cond-mat/9705227v1

Phys. Rev. E 56, 1471 (1997)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

to appear in PRE, 5 pages, REVTeX, 2 figures, postscript

Scientific paper

10.1103/PhysRevE.56.1471

We study an ensemble of random matrices (the Rosenzweig-Porter model) which, in contrast to the standard Gaussian ensemble, is not invariant under changes of basis. We show that a rather complete understanding of its level correlations can be obtained within the standard framework of diagrammatic perturbation theory. The structure of the perturbation expansion allows for an interpretation of the level structure on simple physical grounds, an aspect that is missing in the exact analysis (T. Guhr, Phys. Rev. Lett. 76, 2258 (1996), T. Guhr and A. M\"uller-Groeling, cond-mat/9702113).

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