T3/7hopping conductivity in a class of disordered systems

G. Deutscher, Y. Lȳvy, B. Souillard

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We present a new mechanism which induces a thermally activated hopping-conductivity law exp[−(T0/T)α], with α close to 1/2 without Coulomb interactions. In fact αŠ=Š3/7 independently of the dimension. We argue that this mechanism solves some old puzzles for systems not too far from percolation threshold such as granular materials and should apply to various systems as long as intercluster tunnelling is negligible. The result relies on the superlocalization property of wave functions on incipient percolation clusters.

Original languageEnglish
Pages (from-to)577-582
Number of pages6
JournalJournal de Physique (Paris), Lettres
Issue number5
StatePublished - 1 Sep 1987


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