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High-energy resolution inelastic neutron scattering experiment on magnetic fracton dispersion in near-percolating three-dimensional Heisenberg antiferromagnet, RbMn$$_{0,4}$$Mg$$_{0.6}$$F$$_{3}$$

Ito, Shinichi*; Kajimoto, Ryoichi  ; Adams, M. A.*

Magnetic fractons in the near-percolating three-dimensional (3D) Heisenberg antiferromagnet, RbMn$$_{0.4}$$Mg$$_{0.6}$$F$$_{3}$$, have been studied using inelastic neutron scattering with high energy resolution ($$Delta E=17.5 mu$$eV) and at low temperature ($$T=1.5$$ K). It is demonstrated that the fractons follow the dispersion relation of $$q^z$$ (q being the wave number). The observed exponent, $$z=2.5$$, is in good agreement with the fractal dimension of the 3D system ($$D_f=2.48$$), as predicted by theory.

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Category:Physics, Multidisciplinary

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