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
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.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.