95-278 del Rio R., Jitomirskaya S., Last Y., Simon B.
What Is Localization? (13K, LaTeX) Jun 15, 95
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Abstract. We examine various issues relevant to localization in the Anderson model. We show there is more to localization than exponentially localized states by presenting an example with such states but where $\langle x(t)^{2}\rangle /t^{2-\delta}$ is unbounded for any $\delta >0$. We show that the recently discovered instability of localization under rank one perturbations is only a weak instability.

Files: 95-278.tex