Vortices in the classical two-dimensional anisotropic Heisenberg model
The structure and dynamics of vortex spin configurations are considered for a two-dimensional classical Heisenberg model with easy-plane anisotropy. Using both approximate analytic methods based on a continuum description and direct numerical simulations on a discrete lattice, two types of static vortices (planar and out-of-plane) are identified. Planar (out-of-plane) vortices are stable below (above) a critical anisotropy. The structure of moving vortices is calculated approximately in a continuum limit. Vortex-vortex interactions are investigated numerically. A phenomenology for dynamic structure factors is developed based on a dilute gas of mobile vortices above the Kosterlitz-Thouless transition. This yields a central peak scattering whose form is compared with the results of a large-scale Monte Carlo--molecular-dynamics simulation.
- Research Organization:
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545(US); Physics Institute, University of Bayreuth, D-8580 Bayreuth, Federal Republic of Germany
- OSTI ID:
- 6191985
- Journal Information:
- Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 39:16; ISSN PRBMD
- Country of Publication:
- United States
- Language:
- English
Similar Records
Dynamic correlations in the classical two-dimensional antiferromagnetic Heisenberg model with easy-plane symmetry
On the theory of point vortices in two-dimensional Bose liquids
Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
ANISOTROPY
CALCULATION METHODS
COHERENT SCATTERING
CRYSTAL MODELS
DIFFRACTION
ELECTRONIC STRUCTURE
FERROMAGNETIC MATERIALS
HEISENBERG MODEL
INELASTIC SCATTERING
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
MONTE CARLO METHOD
NEUTRON DIFFRACTION
PARTICLE PROPERTIES
SCATTERING
SPIN
VORTICES