TY - JOUR
T1 - Dimensionality crossover in superconducting wire networks
AU - Gordon, James M.
AU - Goldman, Allen M.
AU - Whitehead, Brian
PY - 1987
Y1 - 1987
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.59.2311
DO - 10.1103/PhysRevLett.59.2311
M3 - Article
AN - SCOPUS:4243728569
SN - 0031-9007
VL - 59
SP - 2311
EP - 2314
JO - Physical review letters
JF - Physical review letters
IS - 20
ER -