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Dal'nevost. Mat. Zh., 2020, Volume 20, Number 2, Pages 255–266 (Mi dvmg439)  

Finite-size scaling in ferromagnetic spin systems on the pyrochlore lattice

K. S. Soldatovab, M. A. Padalkoab, V. S. Stronginab, D. Yu. Kapitanab, E. V. Vasil'evba, A. E. Rybinab, V. Yu. Kapitanab, K. V. Nefedevab

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

Abstract: In this paper we present the results of the high-performance computations for the Ising model, the XY-model and the classical Heisenberg model for the pyrochlore lattice. We used Wolff and Swendsen-Wang cluster algorithms with GPU parallelization for the calculations. We obtained critical exponents and critical temperatures using finite-size scaling approach.

Key words: phase transitions, critical temperature, finite-size scaling, pyrochlore lattice, cluster algorithms.

DOI: https://doi.org/10.47910/FEMJ202026

Full text: PDF file (3331 kB)
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UDC: 517.958:[531–142.6+536]
MSC: 82B44
Received: 05.11.2019

Citation: K. S. Soldatov, M. A. Padalko, V. S. Strongin, D. Yu. Kapitan, E. V. Vasil'ev, A. E. Rybin, V. Yu. Kapitan, K. V. Nefedev, “Finite-size scaling in ferromagnetic spin systems on the pyrochlore lattice”, Dal'nevost. Mat. Zh., 20:2 (2020), 255–266

Citation in format AMSBIB
\Bibitem{SolPadStr20}
\by K.~S.~Soldatov, M.~A.~Padalko, V.~S.~Strongin, D.~Yu.~Kapitan, E.~V.~Vasil'ev, A.~E.~Rybin, V.~Yu.~Kapitan, K.~V.~Nefedev
\paper Finite-size scaling in ferromagnetic spin systems on the pyrochlore lattice
\jour Dal'nevost. Mat. Zh.
\yr 2020
\vol 20
\issue 2
\pages 255--266
\mathnet{http://mi.mathnet.ru/dvmg439}
\crossref{https://doi.org/10.47910/FEMJ202026}


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