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arXiv · 2208.06618

Polyhexatic and Polycrystalline States of Skyrmion Lattices

Dmitry A. Garanin·Eugene M. Chudnovsky
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Abstract

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.

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Dmitry A. Garanin, Eugene M. Chudnovsky. 2022-08-13. Polyhexatic and Polycrystalline States of Skyrmion Lattices. https://doi.org/10.1103/physrevb.107.014419

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