If you would be able to "create" a skyrmion-like magnetic domain with the proper topological number BUT with no DMI- or dipolar-stabilization. Would this be as stable (against T or H changes) as a skyrmion stabilized by DMI or dipolar field with the same topological number?
Does the stabilization of Skyrmions only need to have the proper topological number or they also need an stabilization mechanim such as DMI?
A way to see it would be, what would happen to a skyrmion appearing on system with DMI if we could "switch off" the DMI, would the skyrmion be still stable due to its topological number or would it relax to a different state)
Thanks to all of you.
This is a very interesting question with a number of possible answers.
The stability of skyrmions is the focus of the following paper:
https://www.researchgate.net/profile/Seng_Ghee_Tan/publication/282424524_Stability_of_topological_charge_of_magnetic_skyrmion_configurations/links/563c043c08ae405111a78048.pdf?origin=publication_list
For a discussion of the stability of skymion, see Section 4, starting on page 157. See, also:
https://www.researchgate.net/publication/277144937_Antiferromagnetic_Skyrmions
More to the point, the authors of the following paper demonstrate that for a spherical shell a skyrmion solution exists as a topologically stable excitation above the hedgehog ground state:
https://www.researchgate.net/publication/303859099_Topologically_stable_magnetization_states_on_a_spherical_shell_Curvature-stabilized_skyrmions
Article Antiferromagnetic Skyrmions
Article Stability of topological charge of magnetic skyrmion configurations
Article Topologically stable magnetization states on a spherical she...
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