Long Wavelength Anomalous Diffusion Mode in the 2D XY Dipole Magnet

Abstract

In 2D XY ferromagnet the dipole force induces a strong interaction between spin-waves in the long-wavelength limit. The major effect of this interaction is the transformation of a propagating spin-wave into a diffusion mode. We study the anomalous dynamics of such diffusion modes. We find that the Janssen-De Dominics functional, which governs this dynamics, approaches the non-Gaussian fixed-point. A spin-wave propagates by an anomalous anisotropic diffusion with the dispersion relation: $i\omega \sim k_y^{{\Delta }_y}$ and $i\omega \sim k_x^{{\Delta }_x}$, where ${\Delta }_y=47/27$ and ${\Delta }_x=47/36$. The low-frequency response to the external magnetic field is found.

34 pages, RevTeX, 2 .ps figures, the third figure is available upon request

References in corpus (4)

• On the low energy properies of fermions with singular interactions
• Singularities in the Fermi liquid description of a partially filled Landau level and the energy gaps of fractional quantum Hall states
• Critical Dynamics of Magnets
• Spin Diffusion in 2D XY Ferromagnet with Dipolar Interaction

Cited by in corpus (1)

• Spin-wave interaction in two-dimensional ferromagnets with dipolar forces