Eigenfunction entropy and spectral compressibility for critical random matrix ensembles |
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Authors: | Bogomolny E Giraud O |
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Institution: | Université Paris-Sud, CNRS, LPTMS, UMR 8626, Orsay, France. |
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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 χ are related by the simple equation χ+D(1)/d=1, where d is system dimensionality. |
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