Polyhexatic and Polycrystalline States of Skyrmion Lattices
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2022
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| _version_ | 1866917920991346688 |
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| author | Garanin, Dmitry A. Chudnovsky, Eugene M. |
| author_facet | Garanin, Dmitry A. Chudnovsky, Eugene M. |
| contents | Abstract We report Monte Carlo studies of lattices of up to $10^{5}$ skyrmions treated as particles with negative core energy and repulsive interaction obtained from a microscopic spin model. Temperature dependence of translational and orientational correlations has been investigated for different experimental protocols and initial conditions. Cooling the skyrmion liquid from fully disordered high-temperature state results in the formation of a skyrmion polycrystal. A perfect skyrmion lattice prepared at $T=0$, on raising temperature undergoes a first-order melting transition into a polyhexatic state that consists of large orientationally ordered domains of fluctuating shape. On the further increasing temperature, these domains decrease in size, leading to a fully disordered liquid of skyrmions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_06618 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Polyhexatic and Polycrystalline States of Skyrmion Lattices Garanin, Dmitry A. Chudnovsky, Eugene M. Statistical Mechanics Abstract We report Monte Carlo studies of lattices of up to $10^{5}$ skyrmions treated as particles with negative core energy and repulsive interaction obtained from a microscopic spin model. Temperature dependence of translational and orientational correlations has been investigated for different experimental protocols and initial conditions. Cooling the skyrmion liquid from fully disordered high-temperature state results in the formation of a skyrmion polycrystal. A perfect skyrmion lattice prepared at $T=0$, on raising temperature undergoes a first-order melting transition into a polyhexatic state that consists of large orientationally ordered domains of fluctuating shape. On the further increasing temperature, these domains decrease in size, leading to a fully disordered liquid of skyrmions. |
| title | Polyhexatic and Polycrystalline States of Skyrmion Lattices |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2208.06618 |