9 M ay 2 00 2 Fluctuations and scaling of inverse participation ratios in random binary resonant composites
نویسندگان
چکیده
We study the statistics of local field distribution solved by the Green’sfunction formalism (GFF) [Y. Gu et al., Phys. Rev. B 59 12847 (1999)] in the disordered binary resonant composites. For a percolating network, the inverse participation ratios (IPR) with q = 2 are illustrated, as well as the typical local field distributions of localized and extended states. Numerical calculations indicate that for a definite fraction p the distribution function of IPR Pq has a scale invariant form. It is also shown the scaling behavior of the ensemble averaged 〈Pq〉 described by the fractal dimension Dq. To relate the eigenvectors correlations to resonance level statistics, the axial symmetry between D2 and the spectral compressibility χ is obtained. PACS number(s): 02.50.-r, 77.84.Lf, 42.65.-k Typeset using REVTEX
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