# Ground State of an Antiferromagnetic Three-State Potts Model on a Triangular Lattice with Competing Interactions

## Abstract

The ground state of the spin structures described by an antiferromagnetic three-state Potts model on a triangular lattice is studied with allowance for the next-nearest neighbors. The numerical data obtained by the Monte Carlo method are used to reveal the ranges of ordered and disordered phases in these structures.

- Authors:

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

- Publication Date:

- OSTI Identifier:
- 22749747

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 127; Journal Issue: 2; Other Information: Copyright (c) 2018 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANTIFERROMAGNETISM; GROUND STATES; INTERACTIONS; MONTE CARLO METHOD; SPIN

### Citation Formats

```
Babaev, A. B., E-mail: b-albert78@mail.ru, Murtazaev, A. K., and Kassan-Ogly, F. A.
```*Ground State of an Antiferromagnetic Three-State Potts Model on a Triangular Lattice with Competing Interactions*. United States: N. p., 2018.
Web. doi:10.1134/S1063776118080010.

```
Babaev, A. B., E-mail: b-albert78@mail.ru, Murtazaev, A. K., & Kassan-Ogly, F. A.
```*Ground State of an Antiferromagnetic Three-State Potts Model on a Triangular Lattice with Competing Interactions*. United States. doi:10.1134/S1063776118080010.

```
Babaev, A. B., E-mail: b-albert78@mail.ru, Murtazaev, A. K., and Kassan-Ogly, F. A. Wed .
"Ground State of an Antiferromagnetic Three-State Potts Model on a Triangular Lattice with Competing Interactions". United States. doi:10.1134/S1063776118080010.
```

```
@article{osti_22749747,
```

title = {Ground State of an Antiferromagnetic Three-State Potts Model on a Triangular Lattice with Competing Interactions},

author = {Babaev, A. B., E-mail: b-albert78@mail.ru and Murtazaev, A. K. and Kassan-Ogly, F. A.},

abstractNote = {The ground state of the spin structures described by an antiferromagnetic three-state Potts model on a triangular lattice is studied with allowance for the next-nearest neighbors. The numerical data obtained by the Monte Carlo method are used to reveal the ranges of ordered and disordered phases in these structures.},

doi = {10.1134/S1063776118080010},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 2,

volume = 127,

place = {United States},

year = {2018},

month = {8}

}

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