Abstract:
The Monte Carlo method was used to study phase transitions, magnetic and thermodynamic properties of the three-dimensional antiferromagnetic Heisenberg model on a layered triangular lattice in a magnetic field. The studies were carried out in the range of variation of the magnetic field value 0 ⩽h⩽ 12. The magnetic structures of the ground state are obtained in a wide range of magnetic field values. The character of phase transitions is determined on the basis of the histogram method of data analysis. It was found that in the range 0 ⩽h⩽ 10, a first-order phase transition is realized. It is shown that a further increase in the magnetic field value removes the degeneracy of the ground state and smears out the phase transition.
Keywords:
frustration, Monte Carlo method, Heisenberg model, phase transitions.
Citation:
A. K. Murtazaev, M. K. Badiev, M. K. Ramazanov, M. A. Magomedov, “Effect of a magnetic field on the phase transitions in the Heisenberg model on a triangular lattice”, Fizika Tverdogo Tela, 63:8 (2021), 1141–1145; Phys. Solid State, 63:8 (2021), 1262–1266
\Bibitem{MurBadRam21}
\by A.~K.~Murtazaev, M.~K.~Badiev, M.~K.~Ramazanov, M.~A.~Magomedov
\paper Effect of a magnetic field on the phase transitions in the Heisenberg model on a triangular lattice
\jour Fizika Tverdogo Tela
\yr 2021
\vol 63
\issue 8
\pages 1141--1145
\mathnet{http://mi.mathnet.ru/ftt8075}
\crossref{https://doi.org/10.21883/FTT.2021.08.51168.068}
\elib{https://elibrary.ru/item.asp?id=46345446}
\transl
\jour Phys. Solid State
\yr 2021
\vol 63
\issue 8
\pages 1262--1266
\crossref{https://doi.org/10.1134/S1063783421080205}
Linking options:
https://www.mathnet.ru/eng/ftt8075
https://www.mathnet.ru/eng/ftt/v63/i8/p1141
This publication is cited in the following 2 articles:
A. K. Murtazaev, A. B. Babaev, “Phase Transitions in Two-Dimensional Potts Models on the Hexagonal Lattice”, J. Exp. Theor. Phys., 134:6 (2022), 720
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Phase transitions and the magnetic properties of the Potts model with four spin states on a hexagonal lattice in low magnetic fields”, JETP Letters, 114:11 (2021), 693–698
Citation in format AMSBIB
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