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Report No.

Fractal dimension in percolating Heisenberg antiferromagnets

Ito, Shinichi*; Kajimoto, Ryoichi  ; Adams, M. A.*; Bull, M. J.*; Iwasa, Kazuaki*; Aso, Naofumi*; Yoshizawa, Hideki*; Takeuchi, Tetsuya*

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, $$x = 2.43 pm 0.05$$ and $$z = 2.5 pm 0.1$$, were in good agreement with the fractal dimension ($$D_f = 2.48$$).



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