Fractal dimension in percolating Heisenberg antiferromagnets

Abstract We investigated static and dynamical properties in the three-dimensional percolating Heisenberg antiferromagnets, RbMn c Mg 1 - c F 3 , with the magnetic concentration close to the percolation threshold, c P = 0.312 , around the superlattice point well below T N . In neutron diffraction experiment, the wave number dependence of the elastic scattering component was well fitted to q - x . Magnetic fractons were also studied using inelastic neutron scattering, and the observed fractons showed the dispersion relation of q z . The determined exponents, x = 2.43 ± 0.05 and z = 2.5 ± 0.1 , were in good agreement with the fractal dimension ( D f = 2.48 ) .