Fractal dimensions and dimensional crossover in superconducting wire networks

James M. Gordon, Allen M Goldman

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We have fabricated Al wire networks in the form of submicron scale fractals including the Sierpinski Gasket (SG), arrays of SG's, and percolation clusters. Measurements have been made of the superconducting phase boundary, Tc(H), and the magnetoconductance above Tc. From analysis of the SG data we have determined the fracton dimension of that fractal. The gasket arrays show a crossover from fractal behavior at small length scales to two-dimensional behavior over large lengths, or, equivalently, small fields. The percolation networks are also inhomogeneous, but show no crossover. Presumably this is due to the addition of randomness and dead-end bonds in these patterns.

Original languageEnglish (US)
Pages (from-to)125-128
Number of pages4
JournalPhysica B: Physics of Condensed Matter
Volume152
Issue number1-2
DOIs
StatePublished - Aug 2 1988

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