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首页> 外文期刊>Physical review >Symmetry-allowed Phase Transitions Realized By The Two-dimensional Fully Frustrated Xy Class
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Symmetry-allowed Phase Transitions Realized By The Two-dimensional Fully Frustrated Xy Class

机译：二维完全受挫的Xy类实现的对称允许相变

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摘要

A two-dimensional (2D) fully frustrated XY (FFXY) class of models is shown to contain a different ground state in addition to the checkerboard ground states of the standard 2D FFXY model. The spin configuration of this additional ground state is obtained. Associated with this ground state there are additional phase transitions. An order parameter accounting for these transitions is proposed. The transitions associated with this order parameter are suggested to be similar to a 2D liquid-gas transition which implies Z_2 Ising-type transitions. This suggests that the class of 2D FFXY models belongs within a U(1) ⊕ Z_2 ⊕ Z_2 designation of possible transitions, which implies that there are seven different possible single and combined transitions. Monte Carlo (MC) simulations for the generalized fully frustrated XY model on a square lattice are used to investigate which of these possibilities can be realized in practice: five of the seven are encountered. Four critical points are deduced from the MC simulations: three are consistent with central charge c=3/2 and one is consistent with c=1. The implications for the standard 2D FFXY model are discussed in particular with respect to the long-standing controversy concerning the characteristics of its phase transitions.
机译：二维（2D）完全受挫XY（FFXY）类模型显示为包含标准2D FFXY模型的棋盘基态之外的其他基态。获得该附加基态的自旋配置。与该基态相关的还有其他的相变。提出了解决这些转变的顺序参数。建议与此阶跃参数关联的过渡类似于2D液-气过渡，这意味着Z_2 Ising型过渡。这表明2D FFXY模型的类别属于可能的过渡的U（1）⊕Z_2⊕Z_2指定，这意味着有七个不同的可能的单一和组合过渡。蒙特卡罗（MC）在正方形晶格上的广义完全受挫XY模型的仿真用于研究在实践中可以实现这些可能性中的哪一个：遇到了七个。通过MC模拟得出四个临界点：三个与中心电荷c = 3/2一致，一个与c = 1一致。对于标准2D FFXY模型的含义，尤其是针对其相变特性长期存在的争议进行了讨论。

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