Abstract

We report numerical results for the quantum-percolation problem on a face-centered-cubic lattice. The quantum-percolation threshold, mobility edges, and localization lengths are calculated by studying the scaling behavior of the sensitivity of eigenvalues to a change in boundary conditions. We give estimates of critical exponents for the conductivity and the localization length near the mobility edge. We find it difficult to interpret our results in the framework of a one-parameter scaling theory. The influence of the asymmetric density of states and the presence of odd-membered rings is discussed.

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