Computer Simulation of Magnetic Skyrmions

Vitalii Kapitan; Egor Vasiliev; Alexander Perzhu

doi:10.3390/ecea-5-06678

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Computer Simulation of Magnetic Skyrmions

Vitalii Kapitan

^{*

1},

Egor Vasiliev

²,

Alexander Perzhu

¹ Department of Computer Systems, School of Natural Sciences, Far Eastern Federal University, Vladivostok, 690950, 8 Sukhanova St., Russian Federation
² Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, Vladivostok, 690041, 7 Radio St., Russian Federation

Published: 17 November 2019 by MDPI in 5th International Electronic Conference on Entropy and Its Applications session Thermodynamics and Statistical Physics

https://doi.org/10.3390/ecea-5-06678

Abstract:

We present results of numerical simulation of thermodynamics for array of Classical Heisenberg spins placed on 2D square lattice, which effectively represents the behaviour of single layer. Using Metropolis algorithm, we show the temperature behaviour of system with competing Heisenberg and Dzyaloshinskii-Moriya interaction (DMI) in contrast with classical Heisenberg system. We show the process of nucleating of skyrmion depending on the value of external magnetic field. We proposed the controlling method for movement of skyrmions.

Keywords: Monte Carlo method; magnetic Skyrmion; Heisenberg model; Dzyaloshinskii-Moriya interaction

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