Phase Transitions in the Clock Model with q = 5 Spin States on a Triangular Lattice

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Abstract

The phase transitions and thermodynamic properties of the clock model with q = 5 spin states on a triangular lattice have been investigated using the Wang–Landau Monte Carlo algorithm. The phase transitions have been analyzed with the histogram method and the fourth-order Binder cumulant method. Two Berezinskii–Kosterlitz–Thouless phase transitions are shown to be observed in the ferromagnetic clock model, while a second-order phase transition has been detected in the antiferromagnetic clock model.

About the authors

A. K. Murtazaev

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

Email: m_zagir@mail.ru
367003, Makhachkala, Russia

M. K. Badiev

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

Email: m_zagir@mail.ru
367003, Makhachkala, Russia

M. A. Magomedov

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

Email: m_zagir@mail.ru
367003, Makhachkala, Russia

M. K. Ramazanov

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

Author for correspondence.
Email: m_zagir@mail.ru
367003, Makhachkala, Russia

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