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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2025 Volume 10, Issue 4, Pages 767–776 (Mi chfmj481)

Physics

Study of the antiferromagnetic Heisenberg model on a body-centered cubic lattice

A. K. Murtazaev, K. Sh. Murtazaev, M. A. Magomedov, M. K. Ramazanov, M. R. Dzhamaludinov

Institute of Physics named after Kh.I. Amirkhanov, Dagestan Federal Research Center of RAS, Makhachkala, Russia

Abstract: Monte Carlo replica-exchange algorithm was used to study the antiferromagnetic Heisenberg model on a body-centered cubic lattice with competing exchange interactions in the presence of an external magnetic field. The influence of the external magnetic field on the thermodynamic and magnetic properties of this model was investigated. Temperature and field dependences of the main thermodynamic parameters were obtained. A phase diagram of the critical temperature as a function of the external magnetic field was constructed for the antiferromagnetic Heisenberg model on a body-centered cubic lattice. The ground-state magnetic structures were obtained over a wide range of magnetic fields.

Keywords: Monte Carlo method, magnetic field, spin system, volume-centered cubic lattice, Heisenberg model.

UDC: 537.9+537.6

Received: 30.04.2025
Revised: 04.08.2025

DOI: 10.47475/2500-0101-2025-10-4-767-776



© Steklov Math. Inst. of RAS, 2026