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Journal Articles

Journal Articles

Fractal dimension in percolating Heisenberg antiferromagnets

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

Journal of Magnetism and Magnetic Materials, 310(2, Part2), p.1549 - 1551, 2007/03

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 ($$D_f = 2.48$$).

Journal Articles

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.*

Journal of the Physical Society of Japan, 74(1), p.279 - 282, 2005/01

 Times Cited Count:3 Percentile:27.56(Physics, Multidisciplinary)

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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