Stable topological textures in a classical 2D Heisenberg model

Abstract

We show that stable localized topological soliton textures (skyrmions) with ${\pi }_2$ topological charge $\nu \ge 1$ 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 $N_{\mathrm{cr}}$ depending on $\nu$ and the effective anisotropy constant $K_{\mathrm{eff}}$. 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 $\nu =3$.

8 pages, 4 figures

References in corpus (5)

• Semi-Meissner state and neither type-I nor type-II superconductivity in multicomponent systems
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Flux tubes and the type-I/type-II transition in a superconductor coupled to a superfluid
• Topological solitons in highly anisotropic two dimensional ferromagnets
• Vacancy effects in an easy-plane Heisenberg model: reduction of T_c and doubly-charged vortices

Cited by in corpus (8)

• Magnetic hopfions in solids
• Quantum Collapse of a Magnetic Skyrmion
• Collapse of Skyrmions in 2d Ferro- and Antiferromagnets
• Stability of Biskyrmions in Centrosymmetric Magnetic Films
• Writing Skyrmions with a Magnetic Dipole
• Thermal Creation of Skyrmions in Ferromagnetic Films with Perpendicular Anisotropy and Dzyaloshinskii-Moriya Interaction
• Topological structures in unconventional scenario for 2D cuprates
• Topological phase transitions driven by polarity change and next-nearest-neighbor hopping in skyrmion crystals