Geodesic
Monte Carlo study of phase transitions and skyrmion crystal in magneto-antiferroelectric heterostructures with triangular lattice
Čelâbinskij fiziko-matematičeskij žurnal, Tome 5 (2020) no. 2, pp. 202-210

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The study of formation of the skyrmion lattice with the non-collinear magnetoelectric interaction at the interface in a ferromagnetic/antiferroelectric heterostructure is carried out. The ground state spin configuration is calculated by using the steepest descent method. We found the formation perfect skyrmions structure at acceptable values of the magnetoelectric interaction between the antiferroelectric and magnetic layers, both with the triangilar lattice. Monte Carlo simulation has been used to study the phase transition occurring in the ferromagnetic/antiferroelectric heterostructure with and without an applied field. Skyrmions have been shown to be stable at finite temperatures. The ferromagnetic films undergo two transitions, one is due to the destruction of the skyrmion structure and one magnetic transition, separately. The first skyrmion transition occurs at a lower temperature than magnetic transition. Between these two critical temperatures the ferromagnetic/antiferroelectric heterostructure is partially disordered.
Keywords: topological phenomena, skyrmion, nanomagnetic, multiferroic, steepest descent method, Monte Carlo method. 
@article{CHFMJ_2020_5_2_a11,
     author = {I. F. Sharafullin and A. G. Nugumanov and A. R. Yuldasheva and N. M. Nugaeva and M. H. Kharrasov and H. T. Diep},
     title = {Monte {Carlo} study of phase transitions and skyrmion crystal in magneto-antiferroelectric heterostructures with triangular lattice},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {202--210},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2020_5_2_a11/}
}
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I. F. Sharafullin; A. G. Nugumanov; A. R. Yuldasheva; N. M. Nugaeva; M. H. Kharrasov; H. T. Diep. Monte Carlo study of phase transitions and skyrmion crystal in magneto-antiferroelectric heterostructures with triangular lattice. Čelâbinskij fiziko-matematičeskij žurnal, Tome 5 (2020) no. 2, pp. 202-210. http://geodesic.mathdoc.fr/item/CHFMJ_2020_5_2_a11/