SCALING PROPERTIES OF THE DYNAMICAL STRUCTURE FACTOR OF PERCOLATING HEISENBERG ANTIFERROMAGNETS

The scaling behavior of the dynamical structure factor S(q,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,omega) can be characterized by only two exponents: the dynamic exponent z(a) and a new exponent y. This theoretical prediction is confirmed by direct numerical calculations. The values of the exponents z(a) and y are determined for the case of d = 2 percolating Heisenberg antiferromagnets.