Abstract
The statistical properties of spectra of a three-dimensional quantum bond percolation system are studied in the vicinity of the metal-insulator transition. In order to avoid the influence of small clusters, only regions of the spectra in which the density of states is rather smooth are analyzed. Using the finite-size scaling hypothesis, the critical quantum probability for bond occupation is found to be ${p}_{q}=0.33\ifmmode\pm\else\textpm\fi{}0.01$ while the critical exponent for the divergence of the localization length is estimated as $\ensuremath{\nu}=1.35\ifmmode\pm\else\textpm\fi{}0.10$. This later figure is consistent with the one found within the universality class of the standard Anderson model.
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