Abstract
The origin of the central peak in the neutron scattering function, C(q→,ω), for the classical two-dimensional anisotropic Heisenberg model has been a puzzle for several years. In this work we show that the central peak in the two-dimensional anisotropic Heisenberg model can be explained by a vortex–antivortex number fluctuation due to local diffusion and creation–annihilation processes. This behavior was seen more recently in the dynamics of vortices in magnetic nano-dots. The phenomenology we propose gives the correct behavior for the central peak found in the correlation function C(q→,ω) when compared with experimental as well as numerical spin dynamics results.
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