Eigenfunction entropy and spectral compressibility for critical random matrix ensembles
E. Bogomolny 1, O. Giraud 1 Physical Review Letters 106 (2011) 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. 1. Laboratoire de Physique Théorique et Modèles […]