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Dimensionality crossover in superconducting wire networks

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

DOI 10.1103/PhysRevLett.59.2311 · Physical Review Letters

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Abstract

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.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
Al

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—Pressure not reportedunknown

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