Eigenfunction entropy and spectral compressibility for critical random matrix ensembles

Details Eigenfunction entropy and spectral compressibility for critical random matrix ensembles Eigenfunction entropy and spectral compressibility for critical random matrix ensembles

2010-11-16

arxiv.org/abs/1011.3686v1

Phys. Rev. Lett. 106, 044101 (2011)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.106.044101

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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