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arXiv · 1011.3686

Eigenfunction entropy and spectral compressibility for critical random matrix ensembles

E. Bogomolny·O. Giraud
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Abstract

Based on numerical and perturbation series arguments we conjecture that for certain critical random matrix models the information dimension of eigenfunctions D_1 and the spectral compressibility chi are related by the simple equation chi+D_1/d=1, where d is the system dimensionality.

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E. Bogomolny, O. Giraud. 2010-11-16. Eigenfunction entropy and spectral compressibility for critical random matrix ensembles. https://doi.org/10.1103/physrevlett.106.044101

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