A baby--Skyrme model with anisotropic DM interaction: Compact skyrmions revisited
arXiv:2303.15751 · doi:10.1016/j.nuclphysb.2023.116377
Abstract
We consider a baby--Skyrme model with Dzyaloshinskii--Moriya interaction (DMI) and two types of potential terms. The model has a close connection with the vacuum functional of fermions coupled with nonlinear -fields and with a constant gauge background. The energy functional is derived from the heat-kernel expansion for the fermion determinant. The model possesses normal skyrmions with topological charge . The restricted version of the model also includes both the weak-compacton case (at the boundary, not continuously differentiable) and genuine-compacton case (continuously differentiable). The model consists of only the Skyrme term, and the DMI provides soliton solutions that are known as \textit{skyrmions without any potential}. The BPS equation in the supersymmetric soliton models implies that the impurity coupling is closely related to the DMI. Therefore, the effect of an exponentially localized DMI is also studied in the present model.
arXiv comment16 pages, 12 figures. New section of the impurity model with two figures added, new appendix added, references updated, and some typos corrected. Version to appear in Nuclear Physics B
References in corpus (30)
- Topological Hall effect in the A-phase of MnSi
- Direct Observation of the Skyrmion Hall Effect
- Multisolitons in a Two-dimensional Skyrme Model
- A Skyrme-type proposal for baryonic matter
- Theory of skyrmion states in liquid crystals: axisymmetric cholesteric bubbles (spherulites)
- Investigation of restricted baby Skyrme models
- Solitons in a Baby-Skyrme model with invariance under area preserving diffeomorphisms
- BPS Skyrmions as neutron stars
- Nematic Skyrmions in Odd-Parity Superconductors
- Magnetic Skyrmions at Critical Coupling
- Localization of massive fermions on the baby-skyrmion branes in 6 dimensions
- Compactons and semi-compactons in the extreme baby Skyrme model
- Compact baby skyrmions
- BPS soliton-impurity models and supersymmetry
- Easy plane baby skyrmions
- Neutron stars in the BPS Skyrme model: mean-field limit vs. full field theory
- Nuclear binding energies from a BPS Skyrme model
- Gauged Sigma Models and Magnetic Skyrmions
- Skyrme models and nuclear matter equation of state
- Localizing modes of massive fermions and a U(1) gauge field in the inflating baby-skyrmion branes
- Geometrical phases and quantum numbers of solitons in nonlinear sigma-models
- Hopf term induced by fermions
- Fractionally charged skyrmions in fractional quantum Hall effect
- Inflating baby-Skyrme branes in six dimensions
- Soliton solutions of the fermion-Skyrmion system in (2+1) dimensions
- Magnetic Skyrmions coupled to fermions
- Baby Skyrme models without a potential term
- A False Vacuum Skyrme Model for Nuclear Matter
- Statistical nature of Skyrme-Faddeev models in dimensions and normalizable fermions
- Non-axisymmetric baby-skyrmion branes