Abstract
The magnetic ordering process of Ising spins on diluted square lattice was studied by muon spin relaxation using model compounds Rb2Co c Mg1−c F4. Muon relaxation shows an anomaly at a remarkably higher temperature T N μSR than the transition temperature determined by neutron Bragg scattering T N ND near the percolation threshold for square lattice (c p=0.593). The difference between the two temperatures amounts to 50% of T N ND just above c p. The field cooling effect of DC magnetic susceptibility is appreciable below T N ND while the temperature of the anomaly in AC susceptibility approaches to T N μSR as the frequency is increased. It was concluded that there is a crossover from two-dimensional ordering at T N μSR to three-dimensional ordering at T N ND but the two-dimensional order between T N μSR and T N ND has slow fluctuations due to the fractal structure with a plenty of weak links.
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Mekata, M., Kikuchi, H., Watanabe, I. et al. Dimensional Crossover of Magnetic Transition in Diluted Ising Spin Nets Probed by Muon Spin Relaxation. Hyperfine Interactions 136, 263–268 (2001). https://doi.org/10.1023/A:1020566601808
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DOI: https://doi.org/10.1023/A:1020566601808