Sl. Menezes et al., INPLANE DYNAMICS OF THE CLASSICAL 2-DIMENSIONAL EASY-PLANE HEISENBERG-MODEL AT LOW-TEMPERATURES, Physical review. B, Condensed matter, 47(18), 1993, pp. 12280-12283
We have calculated the in-plane dynamical structure factor S(parallel-
to)(q,omega) of the two-dimensional classical Heisenberg model with ea
sy-plane anisotropy at low temperatures using the projection-operator
technique. Beside the characteristic power-law singularity at the spin
-wave frequency, we have found that S(parallel-to)(q,omega) diverges l
ogarithmically as omega-->0 for finite values of q.