Hopping conductivity in granular disordered systems

Ping Sheng, J. Klafter

Research output: Contribution to journalArticlepeer-review


We study the temperature dependence of conductivity for high-resistivity granular disordered systems in terms of the critical-path method. It is shown that the low-field conductivity exp(-ATα) with α=12 is obeyed over large temperature ranges with possible crossovers to α=14 at low temperatures and to α>12 at high temperatures. The temperatures at which the crossovers occur depend on the distribution of grain sizes. Comparisons are made with experiments and with other theoretical approaches.

Original languageEnglish
Pages (from-to)2583-2586
Number of pages4
JournalPhysical Review B-Condensed Matter
Issue number4
StatePublished - 1983
Externally publishedYes


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