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| Autori principali: | , , , , |
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| Natura: | Preprint |
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2026
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| Accesso online: | https://arxiv.org/abs/2605.21010 |
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| _version_ | 1866911701267382272 |
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| author | Bocquet, H. Ganahl, C. J. Scheurer, M. Derlet, P. M. Läuchli, A. M. |
| author_facet | Bocquet, H. Ganahl, C. J. Scheurer, M. Derlet, P. M. Läuchli, A. M. |
| contents | Skyrmion crystals have been primarily discovered under a magnetic field for materials with non-centrosymmetric interactions. More recent developments have investigated the stability of skyrmion crystals in itinerant magnets without magnetic field. In this study, we find that a type of skyrmion crystal with two topological charges per unit cell and no magnetization at the ferromagnetic point in reciprocal space, SkX-2, is naturally stabilized in an $SO(3)$-symmetric model with short-range interactions realized by the Heisenberg model on the triangular lattice with scalar chirality. We complement our numerical results with a theoretical analysis that quantitatively describes the transition from the ferromagnetic ground state to the SkX-2 and the evolution of the topological charge density. Despite the constraints given by the Mermin-Wagner theorem at finite temperature, the SkX-2 exhibits both a first-order phase transition associated with translation symmetry breaking and a continuous transition to a floating solid, depending on the charge density controlled by the model parameters. Finally, the tetrahedral phase supported by an antiferromagnetic interaction in our model is found to host $\mathbb{Z}_2$-vortices at finite temperature, suggesting the existence of an additional vortex topological transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21010 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Properties of the skyrmion crystal SkX-2 in the Heisenberg triangular lattice with scalar chirality Bocquet, H. Ganahl, C. J. Scheurer, M. Derlet, P. M. Läuchli, A. M. Other Condensed Matter Skyrmion crystals have been primarily discovered under a magnetic field for materials with non-centrosymmetric interactions. More recent developments have investigated the stability of skyrmion crystals in itinerant magnets without magnetic field. In this study, we find that a type of skyrmion crystal with two topological charges per unit cell and no magnetization at the ferromagnetic point in reciprocal space, SkX-2, is naturally stabilized in an $SO(3)$-symmetric model with short-range interactions realized by the Heisenberg model on the triangular lattice with scalar chirality. We complement our numerical results with a theoretical analysis that quantitatively describes the transition from the ferromagnetic ground state to the SkX-2 and the evolution of the topological charge density. Despite the constraints given by the Mermin-Wagner theorem at finite temperature, the SkX-2 exhibits both a first-order phase transition associated with translation symmetry breaking and a continuous transition to a floating solid, depending on the charge density controlled by the model parameters. Finally, the tetrahedral phase supported by an antiferromagnetic interaction in our model is found to host $\mathbb{Z}_2$-vortices at finite temperature, suggesting the existence of an additional vortex topological transition. |
| title | Properties of the skyrmion crystal SkX-2 in the Heisenberg triangular lattice with scalar chirality |
| topic | Other Condensed Matter |
| url | https://arxiv.org/abs/2605.21010 |