Hysteresis in layered spring magnets
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arXiv
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| Format: | Preprint |
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2001
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| _version_ | 1866909853280108544 |
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| author | Jiang, J. Samuel Kaper, Hans G. Leaf, Gary K. |
| author_facet | Jiang, J. Samuel Kaper, Hans G. Leaf, Gary K. |
| contents | This article addresses a problem of micromagnetics: the reversal of magnetic moments in layered spring magnets. A one-dimensional model is used of a film consisting of several atomic layers of a soft material on top of several atomic layers of a hard material. Each atomic layer is taken to be uniformly magnetized, and spatial inhomogeneities within an atomic layer are neglected. The state of such a system is described by a chain of magnetic spin vectors. Each spin vector behaves like a spinning top driven locally by the effective magnetic field and subject to damping (Landau-Lifshitz-Gilbert equation). A numerical integration scheme for the LLG equation is presented that is unconditionally stable and preserves the magnitude of the magnetization vector at all times. The results of numerical investigations for a bilayer in a rotating in-plane magnetic field show hysteresis with a basic period of $2π$ at moderate fields and hysteresis with a basic period of $π$ at strong fields. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_math_0101077 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | Hysteresis in layered spring magnets Jiang, J. Samuel Kaper, Hans G. Leaf, Gary K. Dynamical Systems Numerical Analysis 34C23, 49S05, 58C07, 82D40 This article addresses a problem of micromagnetics: the reversal of magnetic moments in layered spring magnets. A one-dimensional model is used of a film consisting of several atomic layers of a soft material on top of several atomic layers of a hard material. Each atomic layer is taken to be uniformly magnetized, and spatial inhomogeneities within an atomic layer are neglected. The state of such a system is described by a chain of magnetic spin vectors. Each spin vector behaves like a spinning top driven locally by the effective magnetic field and subject to damping (Landau-Lifshitz-Gilbert equation). A numerical integration scheme for the LLG equation is presented that is unconditionally stable and preserves the magnitude of the magnetization vector at all times. The results of numerical investigations for a bilayer in a rotating in-plane magnetic field show hysteresis with a basic period of $2π$ at moderate fields and hysteresis with a basic period of $π$ at strong fields. |
| title | Hysteresis in layered spring magnets |
| topic | Dynamical Systems Numerical Analysis 34C23, 49S05, 58C07, 82D40 |
| url | https://arxiv.org/abs/math/0101077 |