Pré-Publication, Document De Travail Année : 2017

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

Résumé

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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hal-01474152 , version 1 (22-02-2017)

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Sahbi El Hog, Aurélien Bailly-Reyre, H. T. Diep. Stability and Phase Transition of Skyrmion Crystals Generated by Dzyaloshinskii-Moriya Interaction. 2017. ⟨hal-01474152⟩
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