# Phase transitions in the antiferromagnetic Ising model on a body-centered cubic lattice with interactions between next-to-nearest neighbors

## Abstract

Phase transitions in the antiferromagnetic Ising model on a body-centered cubic lattice are studied on the basis of the replica algorithm by the Monte Carlo method and histogram analysis taking into account the interaction of next-to-nearest neighbors. The phase diagram of the dependence of the critical temperature on the intensity of interaction of the next-to-nearest neighbors is constructed. It is found that a second-order phase transition is realized in this model in the investigated interval of the intensities of interaction of next-to-nearest neighbors.

- Authors:

- Russian Academy of Sciences, Institute of Physics, Dagestan Research Center (Russian Federation)
- Russian Academy of Sciences, Institute of Metal Physics, Ural Branch (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22472432

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 120; Journal Issue: 1; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANTIFERROMAGNETISM; BCC LATTICES; CRITICAL TEMPERATURE; ISING MODEL; MONTE CARLO METHOD; PHASE DIAGRAMS; PHASE TRANSFORMATIONS

### Citation Formats

```
Murtazaev, A. K., Ramazanov, M. K., E-mail: sheikh77@mail.ru, Kassan-Ogly, F. A., and Kurbanova, D. R.
```*Phase transitions in the antiferromagnetic Ising model on a body-centered cubic lattice with interactions between next-to-nearest neighbors*. United States: N. p., 2015.
Web. doi:10.1134/S1063776115010057.

```
Murtazaev, A. K., Ramazanov, M. K., E-mail: sheikh77@mail.ru, Kassan-Ogly, F. A., & Kurbanova, D. R.
```*Phase transitions in the antiferromagnetic Ising model on a body-centered cubic lattice with interactions between next-to-nearest neighbors*. United States. doi:10.1134/S1063776115010057.

```
Murtazaev, A. K., Ramazanov, M. K., E-mail: sheikh77@mail.ru, Kassan-Ogly, F. A., and Kurbanova, D. R. Thu .
"Phase transitions in the antiferromagnetic Ising model on a body-centered cubic lattice with interactions between next-to-nearest neighbors". United States.
doi:10.1134/S1063776115010057.
```

```
@article{osti_22472432,
```

title = {Phase transitions in the antiferromagnetic Ising model on a body-centered cubic lattice with interactions between next-to-nearest neighbors},

author = {Murtazaev, A. K. and Ramazanov, M. K., E-mail: sheikh77@mail.ru and Kassan-Ogly, F. A. and Kurbanova, D. R.},

abstractNote = {Phase transitions in the antiferromagnetic Ising model on a body-centered cubic lattice are studied on the basis of the replica algorithm by the Monte Carlo method and histogram analysis taking into account the interaction of next-to-nearest neighbors. The phase diagram of the dependence of the critical temperature on the intensity of interaction of the next-to-nearest neighbors is constructed. It is found that a second-order phase transition is realized in this model in the investigated interval of the intensities of interaction of next-to-nearest neighbors.},

doi = {10.1134/S1063776115010057},

journal = {Journal of Experimental and Theoretical Physics},

number = 1,

volume = 120,

place = {United States},

year = {Thu Jan 15 00:00:00 EST 2015},

month = {Thu Jan 15 00:00:00 EST 2015}

}

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