Collapse of Skyrmions in 2d Ferro- and Antiferromagnets

Details Collapse of Skyrmions in 2d Ferro- and Antiferromagnets Collapse of Skyrmions in 2d Ferro- and Antiferromagnets

2012-04-21

arxiv.org/abs/1204.4848v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures

Scientific paper

Collapse of a skyrmion due to the discreteness of a crystal lattice in isotropic two-dimensional ferro- and antiferromagnets has been studied analytically and by numerical solution of equations of motion for up to 2000 x 2000 classical spins on a square lattice coupled via Heisenberg exchange interaction. Excellent agreement between analytical and numerical results has been achieved. The lifetime of the skyrmion scales with its initial size, lambda_0, as(lambda_0/a)^5 in ferromagnets and as (lambda_0/a)^2.15 in antiferromagnets, with a being the lattice parameter. This makes antiferromagnetic skyrmions significantly shorter lived than ferromagnetic skyrmions.

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