Stable topological textures in a classical 2D Heisenberg model

Details Stable topological textures in a classical 2D Heisenberg model Stable topological textures in a classical 2D Heisenberg model

2009-01-18

arxiv.org/abs/0901.2707v1

Phys. Rev. B, v.79, 134439 (2009)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

We show that stable localized topological soliton textures (skyrmions) with $\pi_2$ topological charge $\nu \geq 1$ exist in a classical 2D Heisenberg model of a ferromagnet with uniaxial anisotropy. For this model the soliton exist only if the number of bound magnons exceeds some threshold value $N_{\rm cr}$ depending on $\nu $ and the effective anisotropy constant $K_{\rm eff}$. We define soliton phase diagram as the dependence of threshold energies and bound magnons number on anisotropy constant. The phase boundary lines are monotonous for both $\nu=1$ and $\nu >2$, while the solitons with $\nu=2$ reveal peculiar nonmonotonous behavior, determining the transition regime from low to high topological charges. In particular, the soliton energy per topological charge (topological energy density) achieves a minimum neither for $\nu=1$ nor high charges, but rather for intermediate values $\nu=2$ or $\nu=3$.

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