Curvature induced magnetization of altermagnetic films
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arXiv
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| Format: | Preprint |
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2024
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| author | Yershov, Kostiantyn V. Gomonay, Olena Sinova, Jairo Brink, Jeroen van den Kravchuk, Volodymyr P. |
| author_facet | Yershov, Kostiantyn V. Gomonay, Olena Sinova, Jairo Brink, Jeroen van den Kravchuk, Volodymyr P. |
| contents | We consider a thin film of $d$-wave altermagnet bent in a stretching-free manner and demonstrate that gradients of the film curvature induce a local magnetization which is approximately tangential to the film. The magnetization amplitude directly reflects the altermagnetic symmetry and depends on the direction of bending. It is maximal for the bending along directions of the maximal altermagnetic splitting of the magnon bands. A periodically bent film of sinusoidal shape possesses a total magnetic moment per period $\propto\mathscr{A}^2q^4$ where $\mathscr{A}$ and $q$ are the bending amplitude and wave vector, respectively. The total magnetic moment is perpendicular to the plane of the unbent film and its direction (up or down) is determined by the bending direction. A film roll up to a nanotube possesses a toroidal moment directed along the tube $\propto δ_r/r^2$ per one coil, where $r$ and $δ_r$ are the coil radius and the pitch between coils. All these analytical predictions agree with numerical spin-lattice simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05103 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Curvature induced magnetization of altermagnetic films Yershov, Kostiantyn V. Gomonay, Olena Sinova, Jairo Brink, Jeroen van den Kravchuk, Volodymyr P. Strongly Correlated Electrons We consider a thin film of $d$-wave altermagnet bent in a stretching-free manner and demonstrate that gradients of the film curvature induce a local magnetization which is approximately tangential to the film. The magnetization amplitude directly reflects the altermagnetic symmetry and depends on the direction of bending. It is maximal for the bending along directions of the maximal altermagnetic splitting of the magnon bands. A periodically bent film of sinusoidal shape possesses a total magnetic moment per period $\propto\mathscr{A}^2q^4$ where $\mathscr{A}$ and $q$ are the bending amplitude and wave vector, respectively. The total magnetic moment is perpendicular to the plane of the unbent film and its direction (up or down) is determined by the bending direction. A film roll up to a nanotube possesses a toroidal moment directed along the tube $\propto δ_r/r^2$ per one coil, where $r$ and $δ_r$ are the coil radius and the pitch between coils. All these analytical predictions agree with numerical spin-lattice simulations. |
| title | Curvature induced magnetization of altermagnetic films |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.05103 |