Neutron scattering experiments at the magnetic vacancy percolation threshold concentration, x_v, using the random-field Ising crystal Fe(0.76)Zn(0.24)F2, show stability of the transition to long-range order up to fields H=6.5 T. The observation of the stable long-range order corroborates the sharp boundary observed in computer simulations at x_v separating equilibrium critical scattering behavior at high magnetic concentration from low concentration hysteretic behavior. Low temperature H>0 scattering line shapes exhibit the dependence on the scattering wavevector expected for percolation threshold fractal structures.
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