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Yang-Lee Edge Singularity of the Ising Model on a Honeycomb Lattice in an External Magnetic Field

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Abstract

The Ising model in an external magnetic field is one of the most outstanding and intriguing unsolved problems. One of the important properties of the Ising model in an external magnetic field is the Yang-Lee edge singularity. The zeros in the complex magnetic-field plane of the grand partition function of the Ising model on a honeycomb lattice in an external magnetic field are exactly calculated by using the exact integer values for the density of states on L × 2L honeycomb lattices (up to L = 14). The critical line of the Yang-Lee edge singularity of the Ising model on a honeycomb lattice in an external magnetic field is accurately investigated from its Yang-Lee zeros.

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Acknowledgments

This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (grant number: NRF-2017R1D1A3B06035840).

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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

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  1. Seung-Yeon Kim
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Correspondence to Seung-Yeon Kim.

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Kim, SY. Yang-Lee Edge Singularity of the Ising Model on a Honeycomb Lattice in an External Magnetic Field. J. Korean Phys. Soc. 77, 271–276 (2020). https://doi.org/10.3938/jkps.77.271

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  • DOI: https://doi.org/10.3938/jkps.77.271

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