Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field
Using a general framework, interaction potentials between chiral magnetic solitons in a planar system with a tilted external magnetic field are calculated analytically in the limit of large separation. The results are compared to previous numerical results for solitons with topological charge $\pm 1...
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| Format: | Article |
| Language: | English |
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SciPost
2023-07-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.1.011 |
| _version_ | 1797778165342404608 |
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| author | Bruno Barton-Singer, Bernd J. Schroers |
| author_facet | Bruno Barton-Singer, Bernd J. Schroers |
| author_sort | Bruno Barton-Singer, Bernd J. Schroers |
| collection | DOAJ |
| description | Using a general framework, interaction potentials between chiral magnetic solitons in a planar system with a tilted external magnetic field are calculated analytically in the limit of large separation. The results are compared to previous numerical results for solitons with topological charge $\pm 1$. A key feature of the calculation is the interpretation of Dzyaloshinskii-Moriya interaction (DMI) as a background $SO(3)$ gauge field. In a tilted field, this leads to a $U(1)$-gauged version of the usual equation for spin excitations, leading to a distinctive oscillating interaction profile. We also obtain predictions for skyrmion stability in a tilted field which closely match numerical observations. |
| first_indexed | 2024-03-12T23:13:27Z |
| format | Article |
| id | doaj.art-5cee82de10cf465b95f3ccbc544ad2fb |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-12T23:13:27Z |
| publishDate | 2023-07-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-5cee82de10cf465b95f3ccbc544ad2fb2023-07-17T15:02:48ZengSciPostSciPost Physics2542-46532023-07-0115101110.21468/SciPostPhys.15.1.011Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic fieldBruno Barton-Singer, Bernd J. SchroersUsing a general framework, interaction potentials between chiral magnetic solitons in a planar system with a tilted external magnetic field are calculated analytically in the limit of large separation. The results are compared to previous numerical results for solitons with topological charge $\pm 1$. A key feature of the calculation is the interpretation of Dzyaloshinskii-Moriya interaction (DMI) as a background $SO(3)$ gauge field. In a tilted field, this leads to a $U(1)$-gauged version of the usual equation for spin excitations, leading to a distinctive oscillating interaction profile. We also obtain predictions for skyrmion stability in a tilted field which closely match numerical observations.https://scipost.org/SciPostPhys.15.1.011 |
| spellingShingle | Bruno Barton-Singer, Bernd J. Schroers Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field SciPost Physics |
| title | Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field |
| title_full | Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field |
| title_fullStr | Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field |
| title_full_unstemmed | Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field |
| title_short | Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field |
| title_sort | stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field |
| url | https://scipost.org/SciPostPhys.15.1.011 |
| work_keys_str_mv | AT brunobartonsingerberndjschroers stabilityandasymptoticinteractionsofchiralmagneticskyrmionsinatiltedmagneticfield |