Institute for Advanced Materials and Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, South China Normal University, Guangzhou 510006, China.
Department of Physics, Southeast University, Nanjing 211189, China.
Phys Rev E. 2016 Mar;93(3):032114. doi: 10.1103/PhysRevE.93.032114. Epub 2016 Mar 8.
In this work, we investigate the phase transitions and critical behaviors of the frustrated J(1)-J(2)-J(3) Ising model on the square lattice using Monte Carlo simulations, and particular attention goes to the effect of the second-next-nearest-neighbor interaction J(3) on the phase transition from a disordered state to the single stripe antiferromagnetic state. A continuous Ashkin-Teller-like transition behavior in a certain range of J(3) is identified, while the four-state Potts-critical end point J(3)/J(1) is estimated based on the analytic method reported in earlier work [Jin, Sen, and Sandvik, Phys. Rev. Lett. 108, 045702 (2012)]. It is suggested that the interaction J(3) can tune the transition temperature and in turn modulate the critical behaviors of the frustrated model. Furthermore, it is revealed that an antiferromagnetic J(3) can stabilize the staggered dimer state via a phase transition of strong first-order character.
在这项工作中，我们使用蒙特卡罗模拟研究了正方形晶格上受挫的 J(1)-J(2)-J(3)伊辛模型的相变和临界行为，特别关注了第二近邻相互作用 J(3)对无序态到单条纹反铁磁态的相变的影响。在一定范围内的 J(3)，我们发现了一个连续的 Ashkin-Teller 类似的转变行为，同时根据早期工作中报道的分析方法[Jin、Sen 和 Sandvik，Phys. Rev. Lett. 108, 045702 (2012)]，我们估计了四态 Potts 临界端点J(3)/J(1)。研究表明，相互作用 J(3)可以调整转变温度，从而调节受挫模型的临界行为。此外，我们揭示了反铁磁相互作用 J(3)可以通过强一级相变稳定交错二聚体态。
