The combination of the random interaction fields’ method and the Bethe–Peierls method for studying two-sublattice magnets

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

“…Методы Монте-Карло численного статистического описания систем широко используются для изучения термодинамических и магнитных свойств различных материалов [1][2][3][4]. В методах Монте-Карло случайный процесс заменяет точную динамику частиц, позволяя вычислять средние значения различных физических величин в рамках канонического ансамбля.…”

Magnetic properties of six-legged spin-1 nanotube in presence of a longitudinal applied field

“…Theoretically, the magnetic properties of nanoparticles and nanotubes characterized by their quantum and surface boundary effects 7,8 have been widely investigated by the well-known methods of statistical and quantum physics including the effective field theory (EFT) 9,10 , Monte Carlo (MC) simulation 11 , the mean field theory (MFT) 12 , Green function formalism 13 and Bethe-Peierls approximation 14 . For instance, Y. Kocakaplan et al .…”

High-performance Monte Carlo Simulation of Multilayer Magnetic Films

“…In condensed matter physics is increase of the influence of computer simulation, which allows the development of new methods for the construction of complex nanostructures and which promotes the discovery of new phenomena and materials [5][6][7][8][9][10][11][12][13]. The study of collective behavior of magnetic systems will allow to predict and manage the properties of new materials, and will also make a significant contribution to the development of fundamental knowledge about the nano-world and ongoing processes.…”