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Collapse of skyrmions in two-dimensional ferromagnets and antiferromagnets

机译:二维铁磁体和反铁磁体中天体离子的坍塌

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Collapse of a skyrmion due to the discreteness of a crystal lattice in isotropic two-dimensional ferromagnets and antiferromagnets has been studied analytically and by numerical solution of equations of motion for up to 2000×2000 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 λ_o as (λ_0/a)~5 in ferromagnets and as (λ_0/a)~(2.15_ in antiferromagnets with a being the lattice parameter. This makes antiferromagnetic skyrmions significantly shorter lived than ferromagnetic skyrmions.
机译:在二维和各向同性的二维铁磁体和反铁磁体中,由于晶格不连续性而导致的天体坍塌已经被分析研究,并通过运动方程的数值解求解了通过Heisenberg交换相互作用耦合的方格上最多2000×2000经典自旋。分析结果和数值结果之间取得了极好的一致性。 Skyrmion的寿命随着铁磁体的初始大小λ_o缩放为(λ_0/ a)〜5,反铁磁体的初始大小λ_o缩放为(λ_0/ a)〜(2.15_),这使反铁磁Skyrmion的寿命明显短于铁磁。天rm

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