Magnetic Skyrmions: from lumps to supercompactons
arXiv:2406.03941 · doi:10.1103/PhysRevResearch.6.043162
Abstract
The magnetic Skyrmion is described by one control parameter and one length scale. We study the two extreme limits of the control parameter - infinitely large and vanishing - and find that the magnetic Skyrmion becomes a "restricted" magnetic Skyrmion and an O(3) sigma model lump, respectively. Depending on the potential under consideration, the restricted limit manifests differently. In the case of the Zeeman term, the restricted magnetic Skyrmion becomes a "supercompacton" that develops a discontinuity, whereas for the Zeeman term to the power 3/2 it becomes a normal compacton. In both the lump and the restricted limit the solution is given in exact explicit form. We observe that the case of the Zeeman term squared, which can also be understood as a special combination of the Zeeman term and the easy-plane potential - realizable in the laboratory, the analytically exact solution for all values of the coupling - including the Bogomol'nyi-Prasad-Sommerfield (BPS) case - is also of the lump type. Finally, we notice that certain materials (e.g. FeCoSi or MnFeGe) have a rather large control parameter of order 100, making the restricted limit a suitable rough approximation.
LaTeX: 28 pages, 8 figures; V2: comments and references added, figures updated; V3: clarified the discussion of the boundary terms
References in corpus (26)
- Skyrmion Lattice in a Chiral Magnet
- Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
- Spontaneous Skyrmion Ground States in Magnetic Metals
- Skyrmion Lattice in a Doped Semiconductor
- A Skyrme-type proposal for baryonic matter
- Compact Skyrmions, Merons and Bimerons in Thin Chiral Magnetic Films
- Chiral Skyrmionic matter in non-centrosymmetric magnets
- Enhanced Stability of Skyrmions in Two-Dimensional Chiral Magnets with Rashba Spin-Orbit Coupling
- Chiral Magnetic Skyrmions with Arbitrary Topological Charge ("skyrmionic sacks")
- Magnetic skyrmions, chiral kinks and holomorphic functions
- Investigation of restricted baby Skyrme models
- Magnetic skyrmion braids
- Solitons in a Baby-Skyrme model with invariance under area preserving diffeomorphisms
- Compact gauge K vortices
- Magnetic Skyrmions at Critical Coupling
- Skyrmion Qubits: Challenges For Future Quantum Computing Applications
- Compact baby skyrmions
- Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions
- Gauged Sigma Models and Magnetic Skyrmions
- Skyrmion interactions and lattices in chiral magnets: analytical results
- Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
- Traveling skyrmions in chiral antiferromagnets
- Chiral magnetism: a geometric perspective
- Compact Q-balls and Q-shells in the CPN type models
- On the geometry of magnetic Skyrmions on thin films
- A baby--Skyrme model with anisotropic DM interaction: Compact skyrmions revisited