Finite-size scaling in ferromagnetic spin systems on the pyrochlore lattice
Author(s) -
Konstantin Soldatov,
M.A. Padalko,
Vladislav Strongin,
Dmitrii Kapitan,
Egor Vasiliev,
Alexey Rybin,
Vitalii Kapitan,
Konstantin Nefedev
Publication year - 2020
Publication title -
dal nevostochnyi matematicheskii zhurnal
Language(s) - English
Resource type - Journals
ISSN - 1608-845X
DOI - 10.47910/femj202026
Subject(s) - scaling , ising model , ferromagnetism , pyrochlore , computation , lattice (music) , critical exponent , condensed matter physics , physics , statistical physics , heisenberg model , classical xy model , computer science , mathematics , quantum mechanics , algorithm , phase transition , geometry , acoustics , phase (matter)
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.
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