Fluctuations and scaling of inverse participation ratios in random binary resonant composites

We study the statistics of local-field distribution solved by the Green's-function formalism [Y. Gu , Phys. Rev. B 59, 12847 (1999)] in disordered binary resonant composites. For a percolating network, inverse participation ratios (IPR's) with q=2 are illustrated, as well as typical local-field distributions of localized and extended states. Numerical calculations indicate that for a definite fraction p the distribution function of the IPR P-q has a scale invariant form. We also show the scaling behavior of the ensemble-averaged <P-q> described by the fractal dimension D-q. To relate the eigenvector correlations to resonance level statistics, the axial symmetry between D-2 and the spectral compressibility chi is obtained.Physics, Condensed MatterSCI(E)0ARTICLE1null6