Fractional Topological Charges in 2D Magnets
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913513243410432 |
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| author | del Ser, Nina Achchi, Imane El Rosch, Achim |
| author_facet | del Ser, Nina Achchi, Imane El Rosch, Achim |
| contents | Magnetic skyrmions and antiskyrmions are characterised by an integer topological charge $\mathcal Q =\mp 1$, describing the winding of the magnetic orientation. Half-integer winding numbers, $\mathcal Q=\pm \frac{1}{2}$, can be obtained for magnetic vortices (merons). Here, we discuss the physics of magnets with fractional topological charge which is neither integer nor half-integer. We argue that in ferromagnetic films with cubic anisotropy, textures with $\mathcal Q=\pm\frac{1}{6} $ or $\pm\frac{1}{8}$ arise naturally when three or more magnetic domains meet. We also show that a single magnetic skyrmion with $\mathcal Q =-1$ can explode into four fractional defects, each carrying charge $\mathcal Q=-\frac{1}{4}$. Additionally, we investigate a point defect with a non-quantised fractional charge ($\mathcal Q\neq \frac{n}{m}, n,m\in\mathbb{Z}$) which can move parallel to a magnetic domain wall. Only defects with fractional charge lead to an Aharonov-Bohm effect for magnons. We investigate the resulting forces on a fractional defect due to magnon currents. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_11435 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fractional Topological Charges in 2D Magnets del Ser, Nina Achchi, Imane El Rosch, Achim Mesoscale and Nanoscale Physics Strongly Correlated Electrons Magnetic skyrmions and antiskyrmions are characterised by an integer topological charge $\mathcal Q =\mp 1$, describing the winding of the magnetic orientation. Half-integer winding numbers, $\mathcal Q=\pm \frac{1}{2}$, can be obtained for magnetic vortices (merons). Here, we discuss the physics of magnets with fractional topological charge which is neither integer nor half-integer. We argue that in ferromagnetic films with cubic anisotropy, textures with $\mathcal Q=\pm\frac{1}{6} $ or $\pm\frac{1}{8}$ arise naturally when three or more magnetic domains meet. We also show that a single magnetic skyrmion with $\mathcal Q =-1$ can explode into four fractional defects, each carrying charge $\mathcal Q=-\frac{1}{4}$. Additionally, we investigate a point defect with a non-quantised fractional charge ($\mathcal Q\neq \frac{n}{m}, n,m\in\mathbb{Z}$) which can move parallel to a magnetic domain wall. Only defects with fractional charge lead to an Aharonov-Bohm effect for magnons. We investigate the resulting forces on a fractional defect due to magnon currents. |
| title | Fractional Topological Charges in 2D Magnets |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2312.11435 |