1996/12/04 by Stavros Komineas, S. Komineas, N. Papanicolaou · 68 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Classical mechanics #Condensed matter physics #Field (mathematics) #Isotropy #Magnetic field #Magnetic properties of thin films #Mathematics #Mechanics #Nonlinear system #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Vortex #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1088/0951-7715/11/2/005
published in Nonlinearity 11(2), 265-290 (IOP Publishing) · 33 pages, TeX, 14 postscript figures included
arxiv created 1996/12/04 · openalex publication_date 1998/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
Vortices or merons are the relevant topological solitons in a two-dimensional isotropic Heisenberg antiferromagnet immersed in a uniform magnetic field. The dynamics of such solitons is studied numerically within the discrete spin model as well as analytically within a continuum approximation based on a suitable extension of the nonlinear model. Vortex dynamics is affected rather profoundly by the applied field and acquires the characteristic features of the Hall effect of electrodynamics or the Magnus effect of fluid dynamics. In particular, a single vortex is always spontaneously pinned, two like vortices form a rotating bound state, and a vortex-antivortex pair undergoes Kelvin motion.