Thermodynamic properties of Heisenberg spin systems on a square lattice with the Dzyaloshinskii--Moriya interaction

Kapitan, Vitalii; Vasiliev, Egor; Shevchenko, Yu. A.; Perzhu, Alexander; Kapitan, Dmitrii; Rybin, Alexey; Soldatov, Konstantin; Makarov, Aleksandr; Nefedev, Konstantin

doi:10.47910/femj202007

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…The Metropolis algorithm, as the Monte Carlo method, is a general method for highperformance calculations on supercomputers, for studying the thermodynamic properties of magnetic systems and dynamics in external magnetic fields. Our supercomputer software has been verified for Heisenberg model [18,19].…”

Section: Monte Carlo Calculationmentioning

confidence: 99%

Monte Carlo Simulation of Magnetic Skyrmions in Ferromagnetic Films

Perzhu

Vasiliev

Kapitan

et al. 2020

SSP

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Magnetic films, in which magnetic vortex textures - skyrmions appear because of competition between the direct Heisenberg exchange and the Dzyaloshinskii-Moriya interaction, were studied using the Monte-Carlo simulation technique. The conditions for the nucleation and stable existence of magnetic skyrmions in magnetic films in the frame of the classical Heisenberg model were considered in the paper. The process of nucleation of skyrmions with increasing of the external magnetic field was studied, various phases into which the Heisenberg spin system passes were recognized. A phase diagram was plotted: it shows the behavior of the system at the constant value of temperature depending on values of an external magnetic field and Dzyaloshinskii-Moriya interaction.

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Section: Monte Carlo Calculationmentioning

confidence: 99%

Monte Carlo Simulation of Magnetic Skyrmions in Ferromagnetic Films

Perzhu

Vasiliev

Kapitan

et al. 2020

SSP

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Application of machine learning in solid state physics

Kapitan,

Korol,

Vasiliev

et al. 2023

Solid State Physics

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Numerical simulation of magnetic skyrmions on flat lattices

et al. 2021

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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.

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Thermodynamic properties of Heisenberg spin systems on a square lattice with the Dzyaloshinskii--Moriya interaction

Cited by 3 publications

References 11 publications

Monte Carlo Simulation of Magnetic Skyrmions in Ferromagnetic Films

Monte Carlo Simulation of Magnetic Skyrmions in Ferromagnetic Films

Application of machine learning in solid state physics

Numerical simulation of magnetic skyrmions on flat lattices

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