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Pis'ma v Zh. Èksper. Teoret. Fiz., 2018, Volume 107, Issue 4, Pages 265–269 (Mi jetpl5506)  

CONDENSED MATTER

Phase diagram and structure of the ground state of the antiferromagnetic Ising model on a body-centered cubic lattice

A. K. Murtazaevab, M. A. Magomedovab, M. K. Ramazanovb

a Dagestan State University, Makhachkala, Russia
b Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, Russia

Abstract: The Monte Carlo method has been used to study phase transitions and the structure of the ground state of the antiferromagnetic Ising model on a body-centered cubic lattice taking into account the interactions of nearest and next nearest neighbors. All possible magnetic structures of the ground state have been obtained for the first time as a function of the ratio of exchange interactions $r$. It is shown that six different orderings in the ground state are possible in the system as a function of the $r$ value. The phase diagram of the dependence of the critical temperature on the interaction of the next nearest neighbors is constructed. For the first time, a narrow region ($2/3<r\leqslant 0.75$) is found in the diagram where the transition from the antiferromagnetic phase to the paramagnetic phase occurs as a first-order phase transition. It is shown that the competition between exchange interactions at the value $r=2/3$ does not lead to the frustration and degeneracy of the ground state.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-02-00214_


DOI: https://doi.org/10.7868/S0370274X18040112

Full text: PDF file (767 kB)
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English version:
Journal of Experimental and Theoretical Physics Letters, 2018, 107:4, 259–263

Bibliographic databases:

Document Type: Article
Received: 21.12.2017
Revised: 29.12.2017

Citation: A. K. Murtazaev, M. A. Magomedov, M. K. Ramazanov, “Phase diagram and structure of the ground state of the antiferromagnetic Ising model on a body-centered cubic lattice”, Pis'ma v Zh. Èksper. Teoret. Fiz., 107:4 (2018), 265–269; JETP Letters, 107:4 (2018), 259–263

Citation in format AMSBIB
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\paper Phase diagram and structure of the ground state of the antiferromagnetic Ising model on a body-centered cubic lattice
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2018
\vol 107
\issue 4
\pages 265--269
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\crossref{https://doi.org/10.7868/S0370274X18040112}
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\jour JETP Letters
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\pages 259--263
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