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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2021 Volume 6, Issue 2, Pages 226–236 (Mi chfmj238)

Physics

Study of the substrate influence on the critical behavior of a two-dimensional ferromagnet

S. V. Belimab, I. V. Bychkovcd, I. V. Maltsevc

a Omsk State Technical University, Omsk, Russia
b Siberian State Automobile and Highway University, Omsk, Russia
c Chelyabinsk State University, Chelyabinsk, Russia
d Laboratory of functional materials, South Ural State University, Chelyabinsk, Russia

Abstract: We investigate the substrate influence on the critical behavior of a magnetic monolayer film by the computer simulation method. The substrate performs as a two-dimensional periodic potential. We used a two-dimensional generalization of the Frenkel — Kontorova potential for the substrate. The Ising model is used to simulate a ferromagnetic film. Monte Carlo simulation was carried out using the Wolf cluster algorithm. We obtain the dependence of Curie temperature and critical exponents of the substrate potential period for different values of the substrate potential amplitude.

Keywords: ferromagnetic film, Frenkel — Kontorova potential, phase transition, critical exponent.

UDC: 537.622.5

Received: 09.03.2021
Revised: 10.05.2021

DOI: 10.47475/2500-0101-2021-16208



© Steklov Math. Inst. of RAS, 2025