Far Eastern Mathematical Journal

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


Kapitan V.Yu., Vasiliev E.V., Shevchenko Y.A., Perzhu A.V., Kapitan D.Yu., Rybin A.E., Soldatov K.S., Makarov A.G., Volotovsky R.A., Nefedev K.V.

2020, issue 1, Ñ. 63–73
DOI: https://doi.org/10.47910/FEMJ202007


Abstract
We present results of numerical simulation of thermodynamics for array of Classical Heisenberg spins placed on 2D square lattice. By using Metropolis and Wang–Landau methods 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.

Keywords:
numerical simulation, thermodynamics, Heisenberg model, Metropolis algorithm, Wang–Landau algorithm, Dzyaloshinskii–Moriya interaction, skyrmion

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