Geodesic
Thermodynamic properties of Heisenberg spin systems on a square lattice with the Dzyaloshinskii--Moriya interaction
Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 63-73

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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. 
@article{DVMG_2020_20_1_a6,
     author = {V. Yu. Kapitan and E. V. Vasil'ev and Yu. A. Shevchenko and A. V. Perzhu and D. Yu. Kapitan and A. E. Rybin and K. S. Soldatov and A. G. Makarov and R. A. Volotovskii and K. V. Nefedev},
     title = {Thermodynamic properties of {Heisenberg} spin systems on a square lattice with the {Dzyaloshinskii--Moriya} interaction},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {63--73},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2020_20_1_a6/}
}
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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. Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 63-73. http://geodesic.mathdoc.fr/item/DVMG_2020_20_1_a6/