Dimensionality crossover in superconducting wire networks

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

Research output: Contribution to journalArticlepeer-review

61 Scopus citations


We have fabricated wire networks in the form of triangular arrays of third-order Sierpinski gaskets and percolation arrays on square lattices. For the gaskets the superconducting phase boundary, Tc(H), exhibits a clear crossover between the homogeneous and inhomogeneous (fractal) regimes. This is formally equivalent to the phonon-fracton crossover. Surprisingly, the random, square-lattice percolation networks, which are expected to exhibit a similar crossover, seem to behave in a manner characteristic of two-dimensional systems, independent of length scale.

Original languageEnglish (US)
Pages (from-to)2311-2314
Number of pages4
JournalPhysical review letters
Issue number20
StatePublished - 1987


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