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Magnetic vortices in thermal equilibrium in two-dimensional magnets arestudied here under the presence of a low concentration of nonmagneticimpurities (spin vacancies). A nearest-neighbor Heisenberg (XXZ) spin modelwith easy-plane exchange anisotropy is used to determine static thermodynamicproperties and vortex densities via cluster/over-relaxation Monte Carlo.Especially at low temperature, a large fraction of the thermally generatedvortices nucleate centered on vacancies, where they have a lower energy offormation. These facts are responsible for the reduction of thevortex-unbinding transition temperature with increasing vacancy concentration,similar to that seen in the planar rotator model. Spin vacancies also presentthe possibility of a new effect, namely, the appearance of vortices with doubletopological charges (4 pi change in in-plane spin angle), stable only whencentered on vacancies.Comment: 11 pages, 14 figure

physical review. b, condensed matter and materials physics

Vacancy effects in an easy-plane Heisenberg model: Reduction of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>T</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>and doubly charged vortices

Vacancy effects in an easy-plane Heisenberg model: Reduction ofTcand doubly charged vortices