V. Yu. Kapitan, E. V. Vasil'ev, Yu. A. Shevchenko, A. V. Perzhu, D. Yu. Kapitan, A. E. Rybin, K. S. Soldatov, A. G. Makarov, R. A. Volotovskii, K. V. Nefedev, “Thermodynamic properties of Heisenberg spin systems on a square lattice with the Dzyaloshinskii–Moriya interaction”, Dal'nevost. Mat. Zh., 2020, Volume 20, Number 1,Pages <nobr>63

This article is cited in 6 papers

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

V. Yu. Kapitan^ab, E. V. Vasil'ev^ab, Yu. A. Shevchenko^ab, A. V. Perzhu^ab, D. Yu. Kapitan^ab, A. E. Rybin^ab, K. S. Soldatov^ab, A. G. Makarov^ab, R. A. Volotovskii^ab, K. V. Nefedev^ab

^a Far Eastern Federal University, Vladivostok
^b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

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.

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

UDC: 538.91, 537.61

MSC: 65C05

Received: 25.10.2019

DOI: 10.47910/FEMJ202007