Moduli spaces and breather dynamics of analytic solutions in Heisenberg exchange-free chiral magnets
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917226018242560 |
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| author | Barton-Singer, Bruno Bolognesi, Stefano Gudnason, Sven Bjarke Menta, Roberto |
| author_facet | Barton-Singer, Bruno Bolognesi, Stefano Gudnason, Sven Bjarke Menta, Roberto |
| contents | We investigate the special case of the chiral magnet with vanishing Heisenberg exchange energy, whose axisymmetric Skyrmion solution has previously been found. The dynamical equations of this model look like inviscid fluid flow, and by investigating path lines of this flow we can construct explicit static and dynamic solutions. We find an infinite-dimensional family of static Skyrmions that are related to the axisymmetric Skyrmion by co-ordinate transformations thus discovering a new moduli space, and further infinite-dimensional families of axisymmetric and non-axisymmetric breather-like supercompactons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20336 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moduli spaces and breather dynamics of analytic solutions in Heisenberg exchange-free chiral magnets Barton-Singer, Bruno Bolognesi, Stefano Gudnason, Sven Bjarke Menta, Roberto Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics We investigate the special case of the chiral magnet with vanishing Heisenberg exchange energy, whose axisymmetric Skyrmion solution has previously been found. The dynamical equations of this model look like inviscid fluid flow, and by investigating path lines of this flow we can construct explicit static and dynamic solutions. We find an infinite-dimensional family of static Skyrmions that are related to the axisymmetric Skyrmion by co-ordinate transformations thus discovering a new moduli space, and further infinite-dimensional families of axisymmetric and non-axisymmetric breather-like supercompactons. |
| title | Moduli spaces and breather dynamics of analytic solutions in Heisenberg exchange-free chiral magnets |
| topic | Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2412.20336 |