TY - JOUR
T1 - Fractal dimensions and dimensional crossover in superconducting wire networks
AU - Gordon, James M.
AU - Goldman, Allen M
PY - 1988/8/2
Y1 - 1988/8/2
N2 - 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.
AB - 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.
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U2 - 10.1016/0921-4526(88)90077-4
DO - 10.1016/0921-4526(88)90077-4
M3 - Article
AN - SCOPUS:0024054399
SN - 0921-4526
VL - 152
SP - 125
EP - 128
JO - Physica B: Physics of Condensed Matter
JF - Physica B: Physics of Condensed Matter
IS - 1-2
ER -