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arXiv · 1702.06841

Stability and Phase Transition of Skyrmion Crystals Generated by Dzyaloshinskii-Moriya Interaction

Sahbi El Hog·Aurélien Bailly-Reyre·H. T. Diep
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Abstract

We generate a crystal of skyrmions in two dimensions using a Heisenberg Hamiltonian including the ferromagnetic interaction J, the Dzyaloshinskii-Moriya interaction D, and an applied magnetic field H. The ground state (GS) is determined by minimizing the interaction energy. We show that the GS is a skyrmion crystal in a region of (D, H). The stability of this skyrmion crystalline phase at finite temperatures is shown by a study of the time-dependence of the order parameter using Monte Carlo simulations. We observe that the relaxation is very slow and follows a stretched exponential law. The skyrmion crystal phase is shown to undergo a transition to the paramagnetic state at a finite temperature.

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Sahbi El Hog, Aurélien Bailly-Reyre, H. T. Diep. 2017-02-22. Stability and Phase Transition of Skyrmion Crystals Generated by Dzyaloshinskii-Moriya Interaction. https://doi.org/10.1016/j.jmmm.2017.10.031

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