T. Terao et al., SCALING PROPERTIES OF THE DYNAMICAL STRUCTURE FACTOR OF PERCOLATING HEISENBERG ANTIFERROMAGNETS, Physical review. B, Condensed matter, 49(17), 1994, pp. 12281-12284
The scaling behavior of the dynamical structure factor S(q,omega) of p
ercolating Heisenberg antiferromagnets is investigated in terms of a d
ynamic scaling argument and numerical calculations. It is found, based
on the single-length-scaling postulate, that the asymptotic behavior
of S(q,omega) can be characterized by only two exponents: the dynamic
exponent z(a) and a new exponent y. This theoretical prediction is con
firmed by direct numerical calculations. The values of the exponents z
(a) and y are determined for the case of d = 2 percolating Heisenberg
antiferromagnets.