Abstract:
The classical Monte Carlo method is used for the study of properties of the ground state and phase transitions of the spin-pseudospin model describing a two-dimensional Ising magnet with competing charge and spin interactions. This competition causes ground state degeneracy and frustration. It is shown that the ground state degeneracy is observed in the frustration area with nonzero probabilities of the formation of two different ordered states. Based on histogram analysis of Monte-Carlo data, the type of phase transitions is analyzed. It is found that first order phase transitions are observed near the frustration point, depending on the relationship between the spin s = 1/2 and pseudospin S = 1 interactions.
This work was supported by the Competitiveness Enhancement Program of the Ural Federal University (Act 211 of the Government of the Russian Federation, Agreement no. 02.A03.21.0006 and CEP 3.1.1.1.g-20) and the Ministry of Science and Higher Education of the Russian Federation (project FEUZ-2020-0054).
Citation:
D. N. Yasinskaya, V. A. Ulitko, Yu. D. Panov, “Nontrivial ground state degeneracy of the spin–pseudospin model of a two-dimensional magnet near the frustration point”, Fizika Tverdogo Tela, 63:9 (2021), 1350–1354; Phys. Solid State, 63:10 (2021), 1588–1592
\Bibitem{YasUliPan21}
\by D.~N.~Yasinskaya, V.~A.~Ulitko, Yu.~D.~Panov
\paper Nontrivial ground state degeneracy of the spin–pseudospin model of a two-dimensional magnet near the frustration point
\jour Fizika Tverdogo Tela
\yr 2021
\vol 63
\issue 9
\pages 1350--1354
\mathnet{http://mi.mathnet.ru/ftt8041}
\crossref{https://doi.org/10.21883/FTT.2021.09.51311.05H}
\elib{https://elibrary.ru/item.asp?id=46690902}
\transl
\jour Phys. Solid State
\yr 2021
\vol 63
\issue 10
\pages 1588--1592
\crossref{https://doi.org/10.1134/S1063783421090468}
Linking options:
https://www.mathnet.ru/eng/ftt8041
https://www.mathnet.ru/eng/ftt/v63/i9/p1350
This publication is cited in the following 1 articles:
Darya Yasinskaya, Yury Panov, “Pseudotransitions in a dilute Ising chain”, Phys. Rev. E, 110:4 (2024)