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

Ying Gu·K. W. Yu·Z. R. Yang
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Abstract

We study the statistics of local field distribution solved by the Green's-function formalism (GFF) [Y. Gu et al., Phys. Rev. B {\bf 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 $P_q$ has a scale invariant form. It is also shown the scaling behavior of the ensemble averaged $ $ described by the fractal dimension $D_q$. To relate the eigenvectors correlations to resonance level statistics, the axial symmetry between $D_2$ and the spectral compressibility $χ$ is obtained.

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Ying Gu, K. W. Yu, Z. R. Yang. 2002-05-09. Fluctuations and scaling of inverse participation ratios in random binary resonant composites. https://doi.org/10.1103/physrevb.66.012202

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