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


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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.

About the authors

A. B. Babaev

Amirkhanov Institute of Physics, Dagestan Scientific Center; Dagestan State Pedagogical University

Author for correspondence.
Email: b_albert78@mail.ru
Russian Federation, Makhachkala, 367003; Makhachkala, 367003

A. K. Murtazaev

Amirkhanov Institute of Physics, Dagestan Scientific Center; Dagestan State University

Email: b_albert78@mail.ru
Russian Federation, Makhachkala, 367003; Makhachkala, 367025

F. A. Kassan-Ogly

Institute of Metal Physics, Ural Branch

Email: b_albert78@mail.ru
Russian Federation, Yekaterinburg, 620990

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