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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2511.19239 |
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| _version_ | 1866909921393508352 |
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| author | Bera, Sandip John, Sajeev |
| author_facet | Bera, Sandip John, Sajeev |
| contents | We introduce a topologically distinct skyrmion, termed a spin-flux skyrmion, which shares the same real-space magnetization profile as a conventional skyrmion but differs fundamentally in its underlying topological structure. This distinction originates from the path traced by its rotation matrices within the doubly connected SO(3) group manifold, leading to a nontrivial spinor phase of $e^{iπ}$ upon encircling the texture. Using an explicit SU(2) gauge field formalism, we derive the emergent magnetic field components generated by both conventional and spin-flux skyrmions. While conventional skyrmions exhibit a dominant $σ_z$ component with weak dipolar $σ_x, σ_y$ contributions, spin-flux skyrmions possess an additional monopolar $σ_x$ component that yields a finite average emergent field for a finite density of skyrmions. This nontrivial component introduces a nontrivial term in the Hall conductivity, enabling a direct explanation of experimental Hall resistivity anomalies that cannot be accounted for by conventional skyrmions alone. Moreover, we show that this additional term couples to the in-plane spin polarization of conduction electrons, providing a further tunable handle to control the transverse Hall response. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spin-Flux Skyrmions: Anomalous Electron Dynamics and Spin-Hall Currents Bera, Sandip John, Sajeev Mesoscale and Nanoscale Physics We introduce a topologically distinct skyrmion, termed a spin-flux skyrmion, which shares the same real-space magnetization profile as a conventional skyrmion but differs fundamentally in its underlying topological structure. This distinction originates from the path traced by its rotation matrices within the doubly connected SO(3) group manifold, leading to a nontrivial spinor phase of $e^{iπ}$ upon encircling the texture. Using an explicit SU(2) gauge field formalism, we derive the emergent magnetic field components generated by both conventional and spin-flux skyrmions. While conventional skyrmions exhibit a dominant $σ_z$ component with weak dipolar $σ_x, σ_y$ contributions, spin-flux skyrmions possess an additional monopolar $σ_x$ component that yields a finite average emergent field for a finite density of skyrmions. This nontrivial component introduces a nontrivial term in the Hall conductivity, enabling a direct explanation of experimental Hall resistivity anomalies that cannot be accounted for by conventional skyrmions alone. Moreover, we show that this additional term couples to the in-plane spin polarization of conduction electrons, providing a further tunable handle to control the transverse Hall response. |
| title | Spin-Flux Skyrmions: Anomalous Electron Dynamics and Spin-Hall Currents |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2511.19239 |