Localization effects near the percolation threshold

The scaling theory of localization is used to explore the percolation-localization crossover near the percolation threshold. When intercluster tunneling is neglected, electron states are always localized before the percolation threshold is reached. The detailed behavior depends on the relation between the correlation lengths for percolation (${\ensuremath{\xi}}_{p}$) and localization (${\ensuremath{\xi}}_{l}$). At nonzero temperature the inelastic scattering length ${\ensuremath{\xi}}_{i}$ is also important. If intercluster tunneling is taken into account a sharp metal-insulator transition at ${p}_{c}$ is possible if a generalized Harris criterion is satisfied.

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