DYNAMICAL STRUCTURE FACTOR OF HEISENBERG ANTIFERROMAGNETS WITH FRACTAL STRUCTURES

The dynamical structure factor S(q, omega) of Heisenberg antiferromagnets with random fractal structures is investigated in terms of a dynamical scaling argument. It is found that the asymptotic behavior of S(q, omega) can be characterized by the dynamic exponent z(a) and a new exponent y. We have performed numerical calculations of S(q, omega) in order to confirm its predicted scaling behaviors for d = 2 percolating antiferromagnets. The calculated values for the exponents y and z(a) are consistent with our theoretical prediction.