High-Energy Resolution Inelastic Neutron Scattering Experiment on Magnetic Fracton Dispersion in Near-Percolating Three-Dimensional Heisenberg Antiferromagnet, RbMn0.4Mg0.6F3
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Magnetic fractons in the near-percolating three-dimensional (3D) Heisenberg antiferromagnet, RbMn<SUB>0.4</SUB>Mg<SUB>0.6</SUB>F<SUB>3</SUB>, were studied using inelastic neutron scattering with a high energy resolution (Δ<I>E</I>=17.5 μeV) and at low temperature (<I>T</I>=1.5 K). It was demonstrated that the fractons follow the dispersion relation of <I>q<SUP>z</SUP></I> (<I>q</I> being the wave number). The observed exponent, <I>z</I>=2.5, was in good agreement with the fractal dimension of the 3D system (<I>D</I><SUB>f</SUB>=2.48), as predicted by theory.
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