Numerical simulation of magnetic skyrmions on flat lattices
V. Kapitan,
E. Vasiliev,
A. Perzhu,
D. Kapitan,
A. Rybin,
A. Korol,
K. Soldatov,
Yu. Shevchenko
Affiliations
V. Kapitan
Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, FEFU Campus, 10 Ajax Bay, Russky Island, Vladivostok 690922, Russian Federation and Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, 7 Radio St., Vladivostok 690041, Russian Federation
E. Vasiliev
Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, FEFU Campus, 10 Ajax Bay, Russky Island, Vladivostok 690922, Russian Federation and Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, 7 Radio St., Vladivostok 690041, Russian Federation
A. Perzhu
Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, FEFU Campus, 10 Ajax Bay, Russky Island, Vladivostok 690922, Russian Federation and Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, 7 Radio St., Vladivostok 690041, Russian Federation
D. Kapitan
Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, FEFU Campus, 10 Ajax Bay, Russky Island, Vladivostok 690922, Russian Federation and Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, 7 Radio St., Vladivostok 690041, Russian Federation
A. Rybin
Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, FEFU Campus, 10 Ajax Bay, Russky Island, Vladivostok 690922, Russian Federation and Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, 7 Radio St., Vladivostok 690041, Russian Federation
A. Korol
Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, FEFU Campus, 10 Ajax Bay, Russky Island, Vladivostok 690922, Russian Federation and Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, 7 Radio St., Vladivostok 690041, Russian Federation
K. Soldatov
Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, FEFU Campus, 10 Ajax Bay, Russky Island, Vladivostok 690922, Russian Federation and Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, 7 Radio St., Vladivostok 690041, Russian Federation
Yu. Shevchenko
Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, FEFU Campus, 10 Ajax Bay, Russky Island, Vladivostok 690922, Russian Federation and Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, 7 Radio St., Vladivostok 690041, Russian Federation
We studied several types of flat lattices with direct exchange and Dzyaloshinskii-Moriya interaction between spins: a honeycomb lattice with 3 nearest neighbours (NN), a square lattice with 4 NN and a hexagonal or triangular lattice with 6 NN. For the analysis of data obtained during the Monte Carlo simulation, a convolutional neural network was used for the recognition of different phases of the spin system which was dependent on simulation parameters such as DMI and external magnetic field (Hz). Based on these data, the phase diagrams (Hz, D) for the different lattices were plotted. The various states of the systems under observation were visualised and the boundaries between the different phases were defined as a spiral, a skyrmion and others. The data from the numerical experiments will be used in further studies to determine the model parameters of the systems for the formation of a stable skyrmion state and the development of methods for controlling skyrmions in a magnetic film.
