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 |
| Summary: | 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. |
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| ISSN: | 2542-4653 |