Noise-induced switching between vortex states with different polarization in classical two-dimensional easy-plane magnets
arXiv:cond-mat/9902144 · doi:10.1103/PhysRevB.59.7010
Abstract
In the 2-dimensional anisotropic Heisenberg model with XY-symmetry there are non-planar vortices which exhibit a localized structure of the z-components of the spins around the vortex center. We study how thermal noise induces a transition of this structure from one polarization to the opposite one. We describe the vortex core by a discrete Hamiltonian and consider a stationary solution of the Fokker-Planck equation. We find a bimodal distribution function and calculate the transition rate using Langer's instanton theory (1969). The result is compared with Langevin dynamics simulations for the full many-spin model.
15 pages, 4 figures, Phys. Rev. B., in press
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