A. Kashuba, RENORMALIZATION THEORY FOR ORDERED PHASE OF 2D XY MAGNET WITH DIPOLARINTERACTION, International journal of modern physics b, 12(12-13), 1998, pp. 1311-1320
In the ordered phase of 2D XY ferromagnet the dipolar interaction betw
een spins induces a relevant interaction between spin-waves. Although
the density of spin-waves is small at low temperature, this long-range
interaction correlates two spatially separated spin-waves. Anomalous
scaling of spin-wave correlation functions is found in both statics an
d dynamics cases.