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Vortex-vacancy interactions in two-dimensional easy-plane magnets



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Vortex vacancy interactions in two dimensional easy plane magnets G M Wysin Department of Physics Kansas State University Manhattan Kansas 66506 2601 Dated July 17 2003 For a model with isotropic nearest neighbor exchange combined with easy plane exchange or single ion anisotropies the static effects of a magnetic vacancy site on a nearby magnetic vortex are analyzed on square hexagonal and triangular lattices Numerical energy minimization and linear stability analysis using the vortex instability mode are employed When the vortex is centered on a vacancy the critical anisotropies where the stable vortex structure switches from out of plane to planar form are determined and the vortex energies and magnetizations are found as functions of anisotropy Consistent with square lattice calculations by Zaspel et al the strength of anisotropy needed to stabilize a vortex in the planar form is reduced when the vortex is centered on a vacancy for all three lattices studied The vortex on vacancy energy is found to be smaller than the typical energy of a vortex centered between lattice sites in a system without vacancies For a vortex separated from a vacancy the energy found as a function of separation demonstrates an attractive potential between the two PACS numbers 75 10 Hk 75 30 Ds 75 40 Gb 75 40 Mg I INTRODUCTION Magnetic vortices in two dimensional 2D systems with easy plane coupling have attracted a number of investigations related to the structure and stability of the in plane and out of plane vortex types 1 7 The presence of these two vortex types1 was found in numerical simulations to exhibit an instability at a critical anisotropy 2 3 at which one type can transform to the other due to favorable energetics The instability has been explained in terms of the energy balance and softening of a dynamic mode on a vortex4 5 using discrete lattice models with precisely located critical points found by analyzing progressively larger and larger vortex core regions 6 7 A magnetic



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