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Effect of the nearest-neighbor biquadratic interactions on the spin-1 Nagle–Kardar model

  • Regular Article - Statistical and Nonlinear Physics
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Abstract

In this paper, we investigate the effect of the nearest-neighbor biquadratic interactions on the one-dimensional Nagle–Kardar model and study how the interactions affect the the global phase diagram of this generalized model. For the system given in this paper, the mean-field ferromagnetic interactions of strength J competes with the nearest-neighbor interactions of strength K and the biquadratic interaction of strength \(\Delta \). Due to the biquadratic coupling, a new ordered state with distinct spin configuration named the stripe ferromagnetic phase emerges. Three regions with different properties are distinguished by the parameter \(\Delta \) and in each region rich characteristics about different first- and second-order phase transition lines and significant critical points are presented. The triple points and re-entrant phase transitions are also found in the canonical phase diagrams.

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data reported in the paper are available from the corresponding author on reasonable request.]

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Authors and Affiliations

  1. School of Physics, Southeast University, Nanjing, 211189, China

    Jin-Tao Yang & Ji-Xuan Hou

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  1. Jin-Tao Yang
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  2. Ji-Xuan Hou
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Contributions

This project was conducted under Dr. J-XH’s supervision. J-TY wrote the paper. Both authors carried out the calculation, were involved in the discussion of results, and have read and approved its final version.

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Correspondence to Ji-Xuan Hou.

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Yang, JT., Hou, JX. Effect of the nearest-neighbor biquadratic interactions on the spin-1 Nagle–Kardar model. Eur. Phys. J. B 95, 190 (2022). https://doi.org/10.1140/epjb/s10051-022-00452-4

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