Self-Similarity of Magnetic Order in Two-Dimensional Percolating Antiferromagnets

Abstract

The intensity distribution of the magnetic elastic scattering of neutrons near the superlattice position in two-dimensional diluted Ising antiferromagnets, Rb₂Co_cMg_1−cF₄ (c=0.60, 0.65 and 0.70), reveals direct experimental evidence of the self-similarity of the magnetic order in a percolating magnetic system. The observed fractal dimension is 1.95±0.07, which is in accord with a numerically estimated value of 1.896. Evidence for a crossover from a self-similar fractal structure to a homogeneous structure is also presented.