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VOLUME 43 (1986) | ISSUE 11 | PAGE 544
Theory of localization in large-dimensionality spaces
The divergence of the localization length does not lead to a divergence of the dielectric constant in the case of a Bethe lattice. This conclusion resolves the contradiction between two exact results which have been published. Comparison of these results indicates that there is a difference in the correlation lengths above and below the Anderson transition. This circumstance imposes severe constraints on the possible nature of the theory.