Critical exponents of percolating wire networks

James M. Gordon, Allen M. Goldman, Brian Whitehead

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Measurements of electronic and magnetic properties of percolating, aluminum wire networks are presented and compared with numerical and analytic results. As opposed to vapor-deposited films, these networks are well suited for comparison to theory of two-dimensional percolation since they are exact replicas of models used to study percolation. We find that the ratio of the exponents for the conductivity and the percolation length, t=0.980.03, is consistent with recent computer studies but not with the Alexander-Orbach conjecture. The critical current exponent, within error, is given by v==43. Finally, the critical field exponent is given by k=1.110.04, consistent with our prediction of k=1.15 as well as with numerical studies.

Original languageEnglish (US)
Pages (from-to)12019-12022
Number of pages4
JournalPhysical Review B
Volume38
Issue number16
DOIs
StatePublished - 1988

Bibliographical note

Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

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