The dynamical structure factor S ( q,w ) for diluted two-dimensional Heisenberg antiferromagnet Rb 2 Mn 0.598 Mg 0.402 F 4 was investigated by means of high resolution (Δ E = 17.5μeV) inelastic neutron scattering below T N . The dynamical exponents in the peak intensity ( A ( q ) ∝ q − y ) and the dispersion relation ( E ( q ) ∝ q z ) for antiferromagnetic fractons were determined as y = 2.9±0.2 and z = 1.8±0.2, in good agreement with the numerical study. Also, the validity of the scaling based on the single-length-scaling postulate (SLSP) was confirmed.The dynamical structure factor S ( q,w ) for diluted two-dimensional Heisenberg antiferromagnet Rb 2 Mn 0.598 Mg 0.402 F 4 was investigated by means of high resolution (Δ E = 17.5μeV) inelastic neutron scattering below T N . The dynamical exponents in the peak intensity ( A ( q ) ∝ q − y ) and the dispersion relation ( E ( q ) ∝ q z ) for antiferromagnetic fractons were determined as y = 2.9±0.2 and z = 1.8±0.2, in good agreement with the numerical study. Also, the validity of the scaling based on the single-length-scaling postulate (SLSP) was confirmed.

Journal of Physics Conference SeriesDec 17, 20120 citations

Scaling properties of the dynamical structure factor of percolating Heisenberg antiferromagnets

Takamichi Terao, Kousuke Yakubo, Tsuneyoshi Nakayama

The scaling behavior of the dynamical structure factor S(q,\ensuremath{\omega}) of percolating Heisenberg antiferromagnets is investigated in terms of a dynamic scaling argument and numerical calculations. It is found, based on the single-length-scaling postulate, that the asymptotic behavior of S(q,\ensuremath{\omega}) can be characterized by only two exponents: the dynamic exponent ${\mathit{z}}_{\mathit{a}}$ and a new exponent y. This theoretical prediction is confirmed by direct numerical calculations. The values of the exponents ${\mathit{z}}_{\mathit{a}}$ and y are determined for the case of d=2 percolating Heisenberg antiferromagnets.The scaling behavior of the dynamical structure factor S(q,\ensuremath{\omega}) of percolating Heisenberg antiferromagnets is investigated in terms of a dynamic scaling argument and numerical calculations. It is found, based on the single-length-scaling postulate, that the asymptotic behavior of S(q,\ensuremath{\omega}) can be characterized by only two exponents: the dynamic exponent ${\mathit{z}}_{\mathit{a}}$ and a new exponent y. This theoretical prediction is confirmed by direct numerical calculations. The values of the exponents ${\mathit{z}}_{\mathit{a}}$ and y are determined for the case of d=2 percolating Heisenberg antiferromagnets.

Physical review. B, Condensed matterMay 1, 19947 citations

Critical spin dynamics of the 2D quantum Heisenberg antiferromagnets

Y. J. Kim, R. J. Birgeneau, F. C. Chou +2 more

APSMar 1, 20010 citations

{\mathit{z}}_{\mathit{a}}

and a new exponent y. This theoretical prediction is confirmed by direct numerical calculations. The values of the exponents

{\mathit{z}}_{\mathit{a}}

and y are determined for the case of d=2 percolating Heisenberg antiferromagnets.