Email this article Critical Temperature of the Three-Vertex Potts Model on a Kagome Lattice
- Authors: Babaev A.B.1,2, Murtazaev A.K.1,2
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Affiliations:
- Institute of Physics, Dagestan Science Center, Russian Academy of Sciences
- Dagestan Science Center, Russian Academy of Sciences
- Issue: Vol 61, No 7 (2019)
- Pages: 1284-1287
- Section: Phase Transitions
- URL: https://bakhtiniada.ru/1063-7834/article/view/205934
- DOI: https://doi.org/10.1134/S1063783419070035
- ID: 205934
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Abstract
The Potts model on a Kagome lattice is considered. The Monte Carlo method is used to obtain the temperature dependences of the thermodynamic parameters: heat capacity C, order parameter m, and susceptibility χ. The calculations were performed for systems with periodic boundary conditions. Systems with linear dimensions L × L = N, L = 20–90, were considered. Based on the fourth-order Binder cumulant method, the critical temperature (Tc) was calculated for the three-vertex Potts model on a Kagome lattice. It is shown that the obtained value of Tc, within the statistical error, is in good agreement with the results obtained by the transfer matrix and polynomial approximation methods.
About the authors
A. B. Babaev
Institute of Physics, Dagestan Science Center, Russian Academy of Sciences; Dagestan Science Center, Russian Academy of Sciences
Author for correspondence.
Email: b_albert78@mail.ru
Russian Federation, Makhachkala, 367015; Makhachkala, 367032
A. K. Murtazaev
Institute of Physics, Dagestan Science Center, Russian Academy of Sciences; Dagestan Science Center, Russian Academy of Sciences
Email: b_albert78@mail.ru
Russian Federation, Makhachkala, 367015; Makhachkala, 367032
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