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Asymmetric field dependence of the specific heat of the three-state Potts model on a square lattice

  • Original Paper - General, Mathematical and Statistical Physics
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Abstract

Even in zero magnetic field, the exact solution of the three-state Potts model on a square lattice has never been obtained. Also, the properties of the three-state Potts model on a square lattice are little known for nonzero magnetic field. Unlike the Ising model which follows the Lee–Yang circle theorem and is symmetric under an external magnetic field, the three-state Potts model violates the circle theorem, and its properties in an external magnetic field are asymmetric for positive and negative external magnetic fields. The Wang–Landau sampling method is applied to estimate the unknown density of states \(g(\varepsilon ,\mu )\) as a function of the microscopic energy \(\varepsilon \) and the microscopic magnetization \(\mu \) for the three-state Potts model on a square lattice in an external magnetic field. Based on the estimated density of states, the properties of the asymmetric field dependence of the specific heat for the three-state Potts model on a square lattice are studied in an external magnetic field.

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Acknowledgements

This work was supported through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (grant number: NRF-2017R1D1A3B06035840) for Seung-Yeon Kim and by the Korea government (MSIT) (No. 2020R1A2C1003743) for Wooseop Kwak.

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Authors and Affiliations

  1. School of Liberal Arts and Sciences, Korea National University of Transportation, Chungju, 27469, Korea

    Seung-Yeon Kim

  2. Department of Physics, Chosun University, Gwangju, 61452, Korea

    Wooseop Kwak

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  1. Seung-Yeon Kim
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  2. Wooseop Kwak
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Correspondence to Wooseop Kwak.

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Kim, SY., Kwak, W. Asymmetric field dependence of the specific heat of the three-state Potts model on a square lattice. J. Korean Phys. Soc. 79, 1114–1120 (2021). https://doi.org/10.1007/s40042-021-00327-4

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  • DOI: https://doi.org/10.1007/s40042-021-00327-4

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