摘要

The dynamical structure factors, S(q, omega), for antiferromagnetic fractons in diluted three-dimensional (3D) and two-dimensional (2D) Heisenberg systems, RbMn0.4Mg0.6F3 and Rb2Mn0.598Mg0.402F4, respectively, with a magnetic concentration close to the percolation concentration, were observed through high-resolution (Delta E = 17.5 mu eV) inelastic neutron scattering experiments well below T-N. The exponents describing the peak intensity (A(q) alpha q(-y)) and the dispersion relation (E(q) alpha q(z)) were determined to be y = 2.9 +/- 0.1 and z = 2.5 +/- 0.1 for the 3D system and y = 2.9 +/- 0.2 and z = 1.8 +/- 0.2 for the 2D system, respectively. In addition, the validity of the single-length-scaling postulate (SLSP) was confirmed for S(q, omega) by using the above values of y and z. We experimentally demonstrated, for the first time, that the spectral dimension, (d)over tilde(AF) = 1, is universal and independent of the embedding Euclidean dimensions of the systems.

  • 出版日期2011-10