Topological Hall effect in ferromagnetic Weyl semimetal Mn$_5$Ge$_3$ originating in competing dipolar interaction and magnetocrystalline anisotropy
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arXiv
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| Format: | Preprint |
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2025
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| author | Low, Achintya Bhowmik, Tushar Kanti Ghosh, Susanta Changdar, Susmita Thirupathaiah, Setti |
| author_facet | Low, Achintya Bhowmik, Tushar Kanti Ghosh, Susanta Changdar, Susmita Thirupathaiah, Setti |
| contents | We report the anomalous and topological Hall effect of the ferromagnetic Weyl semimetal Mn$_5$Ge$_3$. We observe a significant anisotropic anomalous Hall effect (AHE) due to nonzero Berry curvature in the momentum space, such that the anomalous Hall conductivity (AHC) is 965 S/cm for the $xy$-plane and 233 S/cm for the $zx$-plane of the single crystal. The band structure calculations predict several Weyl and nodal points span across the momentum space, gapped out under the spin-orbit coupling effect, leading to significant $k$-space Berry curvature and large AHC. Experimentally, we also demonstrate a sizeable topological Hall effect that is originated by the non-coplanar chiral spin structure due to the competition between the out-of-plane uniaxial magnetocrystalline anisotropy and the dipole-dipole interaction between two Mn sublattices. This study hints at the importance of dipole-dipole interactions in producing the skyrmion lattice in Mn$_5$Ge$_3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05252 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological Hall effect in ferromagnetic Weyl semimetal Mn$_5$Ge$_3$ originating in competing dipolar interaction and magnetocrystalline anisotropy Low, Achintya Bhowmik, Tushar Kanti Ghosh, Susanta Changdar, Susmita Thirupathaiah, Setti Materials Science We report the anomalous and topological Hall effect of the ferromagnetic Weyl semimetal Mn$_5$Ge$_3$. We observe a significant anisotropic anomalous Hall effect (AHE) due to nonzero Berry curvature in the momentum space, such that the anomalous Hall conductivity (AHC) is 965 S/cm for the $xy$-plane and 233 S/cm for the $zx$-plane of the single crystal. The band structure calculations predict several Weyl and nodal points span across the momentum space, gapped out under the spin-orbit coupling effect, leading to significant $k$-space Berry curvature and large AHC. Experimentally, we also demonstrate a sizeable topological Hall effect that is originated by the non-coplanar chiral spin structure due to the competition between the out-of-plane uniaxial magnetocrystalline anisotropy and the dipole-dipole interaction between two Mn sublattices. This study hints at the importance of dipole-dipole interactions in producing the skyrmion lattice in Mn$_5$Ge$_3$. |
| title | Topological Hall effect in ferromagnetic Weyl semimetal Mn$_5$Ge$_3$ originating in competing dipolar interaction and magnetocrystalline anisotropy |
| topic | Materials Science |
| url | https://arxiv.org/abs/2504.05252 |