https://doi.org/10.1140/epjb/s10051-022-00452-4
Regular Article - Statistical and Nonlinear Physics
Effect of the nearest-neighbor biquadratic interactions on the spin-1 Nagle–Kardar model
School of Physics, Southeast University, 211189, Nanjing, China
Received:
11
August
2022
Accepted:
4
November
2022
Published online:
12
November
2022
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 
. 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 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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