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

• Published in: The European physical journal. B, Condensed matter physics Vol. 95; no. 11
• Main Authors: Yang, Jin-Tao, Hou, Ji-Xuan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2022; Springer; Springer Nature B.V
• Subjects: Analysis; Complex Systems; Condensed Matter Physics; Critical point; Ferromagnetic phases; Ferromagnetism; Fluid- and Aerodynamics; Phase diagrams; Phase transitions; Physics; Physics and Astronomy; Regular Article - Statistical and Nonlinear Physics; Solid State Physics
• ISSN: 1434-6028; 1434-6036
• DOI: 10.1140/epjb/s10051-022-00452-4

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 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 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