Jer. Costa et al., DYNAMIC BEHAVIOR OF VORTICES IN THE CLASSICAL 2-DIMENSIONAL ANISOTROPIC HEISENBERG-MODEL, Physical review. B, Condensed matter, 57(18), 1998, pp. 11510-11516
We use Monte Carlo and spin-dynamics simulation to study the vortex dy
namics in the two-dimensional anisotropic Heisenberg model. We calcula
ted the lifetime of vortex-antivortex pairs, the time needed for a vor
tex to make a jump for one lattice spacing, the vortex density, the di
stance between pairs as a function of temperature, and the energy of t
he vortex core. Our results support the idea that a vortex does not mo
ve through the lattice for long distances and a creation-annihilation
process is a more adequate picture to describe its ''dynamics.''