2017/02/22 by Sahbi El Hog, A. Bailly-reyre, Aurélien Bailly-Reyre +1 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Crystal (programming language) #Ferromagnetism #Ground state #Hamiltonian (control theory) #Magnetic properties of thin films #Monte Carlo method #Paramagnetism #Phase transition #Physics #Quantum mechanics #Relaxation (psychology) #Skyrmion #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1016/j.jmmm.2017.10.031
arxiv created 2017/02/22 · openalex publication_date 2017/10/12 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.