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

Jin-Tao Yang and Ji-Xuan Hou ()
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Jin-Tao Yang: Southeast University
Ji-Xuan Hou: Southeast University

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 11, 1-7

Abstract: 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 $$\Delta $$ Δ . 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 $$\Delta $$ Δ 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. Graphic abstract

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00452-4

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