Phase transitions in the four-component Potts model on a triangular lattice

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Abstract

The Monte Carlo method is used to perform the simulation of four-component Potts model on a triangular lattice. Systems with linear dimensions of L × L = N and L = 10–160 are considered. Phase transitions in terms of the considered Potts model are studied using fourth-order Binder cumulants and histogram analysis of data. It is shown that, in the four-component Potts model on a triangular lattice, second-order transitions are observed.

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About the authors

A. B. Babaev

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

Author for correspondence.
Email: b_albert78@mail.ru
Russian Federation, Makhachkala, 367030

A. K. Murtazaev

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

Email: b_albert78@mail.ru
Russian Federation, Makhachkala, 367030

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Supplementary files

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2. Fig. 1. Four-component Potts model on a triangular lattice (a); description of adsorption based on the Potts model (b).

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3. Fig. 2. Dependence of the specific energy E on temperature for the four-component Potts model on a triangular lattice.

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4. Fig. 3. Dependence of specific heat capacity C on temperature for the four-component Potts model on a triangular lattice.

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5. Fig. 4. Dependence of the specific magnetic susceptibility χ on temperature for the four-component Potts model on a triangular lattice.

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6. Fig. 5. Dependence of spontaneous magnetization m on temperature for the four-component Potts model on a triangular lattice.

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7. Fig. 6. Dependence of Binder cumulants UL(T) on temperature for the four-component Potts model on a triangular lattice.

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8. Fig. 7. Dependence of Binder cumulants VL(T) on temperature for the four-component Potts model on a triangular lattice.

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9. Fig. 8. Histogram of energy distribution for the four-component Potts model on a triangular lattice.

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