Renormalization Theory for Ordered Phase of 2D XY Magnet with Dipolar Interaction

Abstract

In the ordered phase of 2D XY ferromagnet the dipolar interaction between 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 and dynamics cases.