Anomalous localization in a nonuniformly disordered medium

E. Altshuler, E. Shimshoni

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1 Scopus citations


Disordered systems with a spatial dependent mean free path (due to, e.g., an external field) are studied. Such nonuniformity in the medium leads to anomalous localization behavior. The distribution function for the resistance of a 1D sample with length L, with power-law dependence of the mean free path l on the coordinate x, lx±, is presented. Transition from localized behavior (lnL) to delocalized (ln is not a normally distributed quantity) takes place through the power localization (lnlnL). Extensions of the model to higher dimensions, as well as to the case where dissipation is present, are discussed.

Original languageEnglish
Pages (from-to)2712-2716
Number of pages5
JournalPhysical Review B
Issue number6
StatePublished - 1992
Externally publishedYes


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