Melting and Freezing of a Skyrmion Lattice
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913689505890304 |
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| author | Garanin, Dmitry A. Soriano, Jorge F. Chudnovsky, Eugene M. |
| author_facet | Garanin, Dmitry A. Soriano, Jorge F. Chudnovsky, Eugene M. |
| contents | We report comprehensive Monte-Carlo studies of the melting of skyrmion lattices in systems of small, medium, and large sizes with the number of skyrmions ranging from $10^{3}$ to over $10^{5}$. Large systems exhibit hysteresis similar to that observed in real experiments on the melting of skyrmion lattices. For sufficiently small systems which achieve thermal equilibrium, a fully reversible sharp solid-liquid transition on temperature with no intermediate hexatic phase is observed. A similar behavior is found on changing the magnetic field that provides the control of pressure in the skyrmion lattice. We find that on heating the melting transition occurs via a formation of grains with different orientations of hexagonal axes. On cooling, the fluctuating grains coalesce into larger clusters until a uniform orientation of hexagonal axes is slowly established. The observed scenario is caused by collective effects involving defects and is more complex than a simple picture of a transition driven by the unbinding and annihilation of dislocation and disclination pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00825 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Melting and Freezing of a Skyrmion Lattice Garanin, Dmitry A. Soriano, Jorge F. Chudnovsky, Eugene M. Mesoscale and Nanoscale Physics Statistical Mechanics We report comprehensive Monte-Carlo studies of the melting of skyrmion lattices in systems of small, medium, and large sizes with the number of skyrmions ranging from $10^{3}$ to over $10^{5}$. Large systems exhibit hysteresis similar to that observed in real experiments on the melting of skyrmion lattices. For sufficiently small systems which achieve thermal equilibrium, a fully reversible sharp solid-liquid transition on temperature with no intermediate hexatic phase is observed. A similar behavior is found on changing the magnetic field that provides the control of pressure in the skyrmion lattice. We find that on heating the melting transition occurs via a formation of grains with different orientations of hexagonal axes. On cooling, the fluctuating grains coalesce into larger clusters until a uniform orientation of hexagonal axes is slowly established. The observed scenario is caused by collective effects involving defects and is more complex than a simple picture of a transition driven by the unbinding and annihilation of dislocation and disclination pairs. |
| title | Melting and Freezing of a Skyrmion Lattice |
| topic | Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2406.00825 |