Noise-induced switching between vortex states with different polarization in classical two-dimensional easy-plane magnets
- 1 March 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 59 (10), 7010-7019
- https://doi.org/10.1103/physrevb.59.7010
Abstract
In the two-dimensional anisotropic classical Heisenberg model with XY symmetry there are nonplanar 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.Keywords
This publication has 26 references indexed in Scilit:
- Magnon modes and magnon-vortex scattering in two-dimensional easy-plane ferromagnetsPhysical Review B, 1998
- Normal modes of vortices in easy-plane ferromagnetsPhysical Review B, 1995
- Two dimensional XY type magnetism in intercalated graphite: an elastic and inelastic neutron scattering studyZeitschrift für Physik B Condensed Matter, 1994
- Spin dynamics for 2d Heisenberg antiferromagnets with combined easy‐plane and Dzyaloshinsky interactionsAnnalen der Physik, 1993
- Dynamic correlations in the classical two-dimensional antiferromagnetic Heisenberg model with easy-plane symmetryPhysical Review B, 1991
- Magnetic-field dependence of the phosphorus nuclear spin-relaxation rate in the quasi-two-dimensional XY antiferromagnet BaNi2(PO4)2Journal of Applied Physics, 1991
- Motion of vortex pairs in the ferromagnetic and antiferromagnetic anisotropic Heisenberg modelPhysical Review B, 1991
- Reaction-rate theory: fifty years after KramersReviews of Modern Physics, 1990
- IDENTIFICATION OF FLUCTUATING SUSCEPTIBILITY COMPONENTS IN Rb2CrCl4 : A QUASI-2-DIMENSIONAL EASY PLANE FERROMAGNETLe Journal de Physique Colloques, 1988
- Handbook of Mathematical FunctionsAmerican Journal of Physics, 1966