Antiferromagnetic Potts Model on the Body-Centered Cubic Lattice

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Abstract

We have studied phase transitions and thermodynamic properties of the antiferromagnetic Potts model with number of spin states q = 3 on a body-centered cubic lattice by the Monte Carlo method. Investigations have been performed with account for exchange interactions J1 and J2 between the first and second nearest neighbors. The phase transition order has been analyzed using the histogram method. It is found that in this model with J2 = 0, a second-order phase transition is observed. It is concluded that the inclusion of the interaction between the second nearest neighbors changes the type of the phase transition.

About the authors

D. R Kurbanova

Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Email: d_kurbanova1990@mail.ru
367015, Makhachkala, Russia

M. K Ramazanov

Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Email: d_kurbanova1990@mail.ru
367015, Makhachkala, Russia

M. A Magomedov

Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Email: d_kurbanova1990@mail.ru
367015, Makhachkala, Russia

A. K Murtazaev

Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Author for correspondence.
Email: d_kurbanova1990@mail.ru
367015, Makhachkala, Russia

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